In the realm of mathematics, Linear Algebra emerges as a captivating subject, unveiling the intricacies of vector spaces, linear transformations, matrices, and systems of linear equations. This branch of mathematics delves into the fundamental concepts of linearity, providing a solid foundation for advanced topics in mathematics, physics, engineering, and computer science. Join us on an enlightening journey through Linear Algebra, where we'll unravel the beauty and practicality of this mathematical discipline.
Linear Algebra Theory Intuition Code is a comprehensive book that bridges the gap between traditional linear algebra theory and its modern applications in machine learning, data science, statistics, a...nd signal processing. This book is a must-read for anyone interested in learning the mathematical concepts of linear algebra, but also wants to apply those concepts to solve real-world problems using computers.
The book begins with a clear and comprehensible introduction to vectors, the basics of matrix algebra, and matrix multiplications. The reader is then taken through more advanced topics such as least-squares projections, eigendecomposition, singular-value decomposition, diagonalization, eigenvalues and eigenvectors.
One of the unique aspects of this book is the several distinct explanations of the same ideas, which is a proven technique for learning. In addition, the book uses visualization using graphs to strengthen the geometric intuition of linear algebra. The book provides MATLAB and Python code implementations to help the reader understand and apply linear algebra concepts on computers.
Unlike traditional linear algebra textbooks, this book focuses on modern applications-oriented aspects of linear algebra and matrix analysis. This makes the book a valuable resource for professionals who use linear algebra in computers to solve real-world applications in machine learning, data science, statistics, and signal processing.
The book also contains a combination of hand-solved exercises and more advanced code challenges to keep the reader engaged in the learning process. As the author, Mike X Cohen, puts it, "Math is not a spectator sport!"
All code in the book is downloadable from GitHub, making it easy for the reader to run the examples and apply the concepts covered in the book to real-world problems.
In conclusion, Linear Algebra Theory Intuition Code is an excellent resource for anyone looking to bridge the gap between traditional linear algebra theory and modern applications in machine learning, data science, statistics, and signal processing. This book is highly recommended for both beginners and intermediate learners who want to gain hands-on experience in implementing linear algebra concepts using MATLAB and Python.
Practical Linear Algebra for Data Science from Core is an essential guide for any professional or student in the computational or technical field. This book provides a modern approach to linear algebr...a by teaching core concepts using Python programming language, which is widely used in data science, machine learning, deep learning, computational simulations, and biomedical data processing applications.
The book starts with an introduction to the importance of linear algebra in computer algorithms and analyses. It then provides a clear and concise explanation of the fundamental concepts of linear algebra, including vectors, matrices, matrix arithmetic, rank, independence, and inverses. The book also covers important decompositions used in applied linear algebra, such as LU and QR, and explains eigendecomposition and singular value decomposition.
In addition, Practical Linear Algebra for Data Science from Core includes practical applications of linear algebra in various fields, including least-squares model fitting and principal components analysis. The book provides an in-depth discussion of the interpretation and application of vectors and matrices in data science and other important applications.
This book is ideal for practitioners and students who want to learn about the latest techniques and methods used in linear algebra to solve real-world problems. It provides a solid foundation in the core concepts of linear algebra, enabling readers to understand, implement, and adapt modern analysis methods and algorithms.
In conclusion, Practical Linear Algebra for Data Science from Core is a must-read for anyone who wants to stay ahead of the curve in the fast-paced industry of data science, machine learning, and deep learning. Whether you're a professional or a student, this book provides a clear and concise explanation of linear algebra concepts that enable you to build and develop new algorithms and analyses that are essential in today's computational world.
Linear Algebra and Optimization for Machine Learning A is a comprehensive textbook that deals with linear algebra and optimization in the context of machine learning. It covers the basics of linear al...gebra and its applications, which include matrix factorization, similarity matrices, graph analysis, and singular value decomposition.
One of the key features of the book is the integration of examples and exercises that demonstrate the concepts learned. This approach enables students to learn the practical application of linear algebra concepts to machine learning problems. Teaching instructors also have access to a solution manual for the exercises provided at the end of each chapter.
The textbook is designed for graduate level students and professors in computer science, mathematics, and data science. However, advanced undergraduate students can also find the book useful.
Linear Algebra and Optimization for Machine Learning A is organized into two parts. The first part deals with linear algebra and its applications, where the focus is on the most relevant aspects of linear algebra for machine learning. Numerous machine learning applications have been used as examples throughout the chapters, including spectral clustering, kernel-based classification, and outlier detection. This section differentiates the book from generic volumes on linear algebra, as the focus is specifically on machine learning concepts.
The second part deals with optimization and its applications, which are central to machine learning. Much of machine learning involves posing problems as optimization problems, where the objective is to maximize the accuracy of regression and classification models. The starting point for many of these optimization-centric machine learning problems is least-squares regression, which arises in both linear algebra and optimization.
The methods used for dimensionality reduction and matrix factorization also require the development of optimization methods. A general view of optimization in computational graphs is discussed, together with its applications to back propagation in neural networks.
Linear Algebra and Optimization for Machine Learning A addresses a common challenge faced by beginners in machine learning, which is the extensive background required in linear algebra and optimization. The existing linear algebra and optimization courses are not specific to machine learning, and one would typically have to complete more course material than is necessary to pick up machine learning.
Therefore, the book presents a view of linear algebra and optimization that is specifically tailored to the perspective of machine learning. With this approach, students can focus on the most relevant concepts and their practical applications in machine learning, making the learning experience more effective and efficient.
The Manga Guide to Linear Algebra is a unique and engaging product that helps readers understand the tricky subject of linear algebra through a combination of entertaining storytelling and real-world ...examples. The story follows Reiji, who is determined to achieve his two goals in life- getting a black belt in karate and winning the heart of Misa, the girl of his dreams.
Luckily, Misa's brother, the captain of the university karate club, is willing to help Reiji achieve both of his goals if he agrees to tutor Misa in linear algebra. Thus begins an engaging, entertaining and informative journey through the world of linear algebra.
The Manga Guide to Linear Algebra is an ideal resource for anyone who wants to learn about basic vector and matrix operations like addition, subtraction, and multiplication, linear dependence, independence and bases, and practical applications of linear algebra. It covers everything from using Gaussian elimination to calculate inverse matrices to subspaces, dimension, and linear span.
As you accompany Misa and Reiji on their linear algebra crash course, you'll also learn about real-world applications of linear algebra in computer graphics, cryptography, and engineering. The Manga Guide to Linear Algebra makes it easy to understand these complex concepts by presenting them in a relatable and engaging manner.
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Please try your request again later.OKOKOKLinear Algebra Done Right (Undergraduate Texts in Mathematics) 3rd ed. 2015 Edition Sheldon Axler(Author) (Author) (Author) 4.7 out of 5 stars 4.7 out of 5 stars 4.7 out of 5 stars 4.7 out of 5 stars 590 ratings 590 ratings eTextbook "Please retry" $39.49 —— eTextbook "Please retry" "Please retry"$39.49 Hardcover "Please retry" $42.03 $37.68 $37.83 Hardcover Hardcover "Please retry" "Please retry"$42.03 $37.68 $37.68 $37.83 $37.83 Paperback "Please retry" $49.99 $37.23 $37.18 Paperback "Please retry" "Please retry"$49.99 $37.23 $37.23 $37.18 $37.18eTextbook $25.00 - $39.49 Read with Our Free App eTextbook $25.00 - $39.49 eTextbook $25.00 - $39.49 eTextbook $25.00 - $39.49 $25.00 - $39.49 Read with Our Free App Read with Our Free App Read with Our Free App Read with Our Free App Read with Our Free App Free App Hardcover $42.03 - $54.51 Other new and used from $37.68 Hardcover $42.03 - $54.51 Hardcover $42.03 - $54.51 Hardcover $42.03 - $54.51 $42.03 - $54.51 Other new and used from $37.68 Other new and used from $37.68 Other new and used from $37.68 fromPaperback $49.99 Other new, used and collectible from $37.18 Paperback $49.99 Paperback $49.99 Paperback $49.99 $49.99 Other new, used and collectible from $37.18 Other new, used and collectible from $37.18 Other new, used and collectible from $37.18 from This best-selling textbook for a second course in linear algebra is aimed at undergrad math majors and graduate students. The novel approach taken here banishes determinants to the end of the book. The text focuses on the central goal of linear algebra: understanding the structure of linear operators on finite-dimensional vector spaces. The author has taken unusual care to motivate concepts and to simplify proofs. A variety of interesting exercises in each chapter helps students understand and manipulate the objects of linear algebra.The third edition contains major improvements and revisions throughout the book. More than 300 new exercises have been added since the previous edition. Many new examples have been added to illustrate the key ideas of linear algebra. New topics covered in the book include product spaces, quotient spaces, and dual spaces. Beautiful new formatting creates pages with an unusually pleasant appearance in both print and electronic versions.No prerequisites are assumed other than the usual demand for suitable mathematical maturity. Thus the text starts by discussing vector spaces, linear independence, span, basis, and dimension. The book then deals with linear maps, eigenvalues, and eigenvectors. Inner-product spaces are introduced, leading to the finite-dimensional spectral theorem and its consequences. Generalized eigenvectors are then used to provide insight into the structure of a linear operator.Read morePrevious pagePrevious pageISBN-103319110799ISBN-13978-3319110790Edition3rd ed. 2015PublisherSpringerPublication dateDecember 18, 2014Part of seriesUndergraduate Texts in MathematicsLanguageEnglishDimensions6.4 x 0.8 x 9.3 inchesPrint length357 pagesNext pageNext page++++Total price: Add all three to Cart Add all three to Cart Add all three to Cart Choose items to buy together. This item: Linear Algebra Done Right (Undergraduate Texts in Mathematics) by Sheldon Axler Hardcover $42.03In Stock.Ships from and sold by Amazon.com.This item: Linear Algebra Done Right (Undergraduate Texts in Mathematics) by Sheldon Axler Hardcover $42.03In Stock.Ships from and sold by Amazon.com.This item: Linear Algebra Done Right (Undergraduate Texts in Mathematics) by Sheldon Axler Hardcover $42.03$42.03In Stock.Ships from and sold by Amazon.com.In Stock.Ships from and sold by Amazon.com.Understanding Analysis (Undergraduate Texts in Mathematics) by Stephen Abbott Hardcover $42.96In Stock.Ships from and sold by Amazon.com.Understanding Analysis (Undergraduate Texts in Mathematics) by Stephen Abbott Hardcover $42.96In Stock.Ships from and sold by Amazon.com.Understanding Analysis (Undergraduate Texts in Mathematics) by Stephen Abbott Hardcover $42.96$42.96In Stock.Ships from and sold by Amazon.com.In Stock.Ships from and sold by Amazon.com.Proofs: A Long-Form Mathematics Textbook (The Long-Form Math Textbook Series) by Jay Cummings Paperback $16.37In Stock.Ships from and sold by Amazon.com.Proofs: A Long-Form Mathematics Textbook (The Long-Form Math Textbook Series) by Jay Cummings Paperback $16.37In Stock.Ships from and sold by Amazon.com.Proofs: A Long-Form Mathematics Textbook (The Long-Form Math Textbook Series) by Jay Cummings Paperback $16.37$16.37In Stock.Ships from and sold by Amazon.com.In Stock.Ships from and sold by Amazon.com.Page 1 of 1Start overPage 1 of 1Page 1 of 111Start overPage 1 of 1Previous pagePrevious pageUnderstanding Analysis (Undergraduate Texts in Mathematics)4.6 out of 5 stars459Hardcover$42.96$42.96$42.96$42.96$42..96$30.98 shippingAbstract Algebra, 3rd EditionDavid S. Dummit4.6 out of 5 stars207Hardcover$120.72$120.72$120.72$120.72$120..72$30.98 shippingOnly 1 left in stock (more on the way).How to Prove It: A Structured Approach4.7 out of 5 stars218Paperback$39.99$39.99$39.99$39.99$39..99$30.98 shippingAll the Math You Missed4.5 out of 5 stars303Paperback$29.99$29.99$29.99$29.99$29..99$30.98 shippingGeneral Relativity: The Theoretical MinimumLeonard Susskind4.7 out of 5 stars80Hardcoverin Differential GeometryDifferential Geometry$24.92$24.92$24.92$24.92$24..92$30.98 shippingReal Analysis: A Long-Form Mathematics Textbook (The Long-Form Math Textbook Series)4.7 out of 5 stars488Paperbackin Mathematical AnalysisMathematical Analysis$15.16$15.16$15.16$15.16$15..16$30.98 shippingNext pageNext pageReview“This is the third edition of this well-known introduction to linear algebra. The main changes, apart from the usual improvements during a new edition, are the number of exercises which has more than doubled, new formatting including color printing, new sections on product spaces, quotient spaces, duality, and the chapter on ‘Operators on Real Vector Spaces’. If you liked the previous editions, you will like this new edition even better” (G. Teschl, Monatshefte für Mathematik, 2016)“This third edition, appearing eighteen years after the second edition, is a further polishing of the existing approach. This book was and still is an interesting and useful text for a second course in linear algebra, concentrating on proofs after the concepts and mechanics have been covered in a first course.” (Allen Stenger, MAA Reviews, maa.org, May, 2016)AMERICAN MATHEMATICAL MONTHLY"The determinant-free proofs are elegant and intuitive."CHOICE "Every discipline of higher mathematics evinces the profound importance of linear algebra in some way, either for the power derived from its techniques or the inspiration offered by its concepts. Axler demotes determinants (usually quite a central technique in the finite dimensional setting, though marginal in infinite dimensions) to a minor role. To so consistently do without determinants constitutes a tour de forces in the service of simplicity and clarity; these are also well served by the general precision of Axler’s prose. Students with a view towards applied mathematics, analysis, or operator theory will be well served. The most original linear algebra book to appear in years, it certainly belongs in every undergraduate library." ZENTRALBLATT MATH "Altogether, the text is a didactic masterpiece."MATHEMATICAL REVIEWS"Clarity through examples is emphasized the text is ideal for class exercises. I congratulate the author and the publisher for a well-produced textbook on linear algebra."From the Back CoverThis best-selling textbook for a second course in linear algebra is aimed at undergrad math majors and graduate students. The novel approach taken here banishes determinants to the end of the book. The text focuses on the central goal of linear algebra: understanding the structure of linear operators on finite-dimensional vector spaces. The author has taken unusual care to motivate concepts and to simplify proofs. A variety of interesting exercises in each chapter helps students understand and manipulate the objects of linear algebra.The third edition contains major improvements and revisions throughout the book. More than 300 new exercises have been added since the previous edition. Many new examples have been added to illustrate the key ideas of linear algebra. New topics covered in the book include product spaces, quotient spaces, and dual spaces. Beautiful new formatting creates pages with an unusually pleasant appearance in both print and electronic versions.No prerequisites are assumed other than the usual demand for suitable mathematical maturity. Thus the text starts by discussing vector spaces, linear independence, span, basis, and dimension. The book then deals with linear maps, eigenvalues, and eigenvectors. Inner-product spaces are introduced, leading to the finite-dimensional spectral theorem and its consequences. Generalized eigenvectors are then used to provide insight into the structure of a linear operator.About the AuthorSheldon Axler is Dean of the College of Science & Engineering at San Francisco State University. He has authored many well-received books including Precalculus: A Prelude to Calculus, Algebra & Trigonometry, College Algebra, A Glimpse at Hilbert Space Operators, Harmonic Function Theory, and Holomorphic Spaces.Read more Publisher: Springer; 3rd ed. 2015 edition (December 18, 2014) Publisher:Springer; 3rd ed. 2015 edition (December 18, 2014) Language: English Language:English Hardcover: 357 pages Hardcover:357 pages ISBN-10: 3319110799 ISBN-10:3319110799 ISBN-13: 978-3319110790 ISBN-13:978-3319110790 Item Weight: 16.04 pounds Item Weight:16.04 pounds Dimensions: 6.4 x 0.8 x 9.3 inches Dimensions:6.4 x 0.8 x 9.3 inches Best Sellers Rank: #29,511 in Books (See Top 100 in Books) #6 in Algebra & Trigonometry #6 in Linear Algebra (Books) Best Sellers Rank: #6 in Algebra & Trigonometry #6 in Linear Algebra (Books) Customer Reviews: /** Fix for UDP-1061. Average customer reviews has a small extra line on hover* https://omni-grok.amazon.com/xref/src/appgroup/websiteTemplates/retail/SoftlinesDetailPageAssets/udp-intl-lock/src/legacy.css?indexName=WebsiteTemplates#40*/.noUnderline a:hover {text-decoration: none;}.cm-cr-review-stars-spacing-big {margin-top: 1px;} 4.7 out of 5 stars 590 ratings P.when('A', 'ready').execute(function(A) {A.declarative('acrLink-click-metrics', 'click', { "allowLinkDefault" : true }, function(event){if(window.ue) {ue.count("acrLinkClickCount", (ue.count("acrLinkClickCount") || 0) + 1);}});});P.when('A', 'cf').execute(function(A) {A.declarative('acrStarsLink-click-metrics', 'click', { "allowLinkDefault" : true },function(event){if(window.ue) {ue.count("acrStarsLinkWithPopoverClickCount", (ue.count("acrStarsLinkWithPopoverClickCount") || 0) + 1);}});}); Customer Reviews: 4.7 out of 5 stars 4.7 out of 5 stars 4.7 out of 5 stars 4.7 out of 5 stars 590 ratings 590 ratingsHelp others learn more about this product by uploading a video!Upload your videoUpload your videoFollow authors to get new release updates, plus improved recommendations.Read moreRead lessRead moreRead lessSponsoredHide feedbackPage 1 of 1Start overPage 1 of 1Page 1 of 111Start overPage 1 of 1Previous page of related Sponsored ProductsPrevious page of related Sponsored ProductsFeedback Hermann Simon412Paperback$32.99Feedback Norman Ramsey3HardcoverLimited time deal$70.13List: $84.99(17% off)Feedback Inc. 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BarCharts1,050Cards$6.95Feedback Kazuo MurotaThe objective is to branch out from the standard mathematical results to illustrate useful specific topics about engineering applications.Paperback$58.00Next page of related Sponsored ProductsNext page of related Sponsored ProductsCustomer reviews4.7 out of 5 stars4.7 out of 5590 global ratings5 star82%4 star12%3 star2%2 star1%1 star3%How customer reviews and ratings workCustomer Reviews, including Product Star Ratings help customers to learn more about the product and decide whether it is the right product for them.To calculate the overall star rating and percentage breakdown by star, we don’t use a simple average. Instead, our system considers things like how recent a review is and if the reviewer bought the item on Amazon. It also analyzed reviews to verify trustworthiness.Learn more how customers reviews work on AmazonCustomer reviews4.7 out of 5 stars4.7 out of 5590 global ratings5 star82%4 star12%3 star2%2 star1%1 star3%How customer reviews and ratings workCustomer Reviews, including Product Star Ratings help customers to learn more about the product and decide whether it is the right product for them.To calculate the overall star rating and percentage breakdown by star, we don’t use a simple average. Instead, our system considers things like how recent a review is and if the reviewer bought the item on Amazon. It also analyzed reviews to verify trustworthiness.Learn more how customers reviews work on Amazon4.7 out of 5 stars4.7 out of 54.7 out of 5590 global ratings5 star82%4 star12%3 star2%2 star1%1 star3%5 star82%4 star12%3 star2%2 star1%1 star3%How customer reviews and ratings workView Image GalleryAmazon Customer4.0 out of 5 starsLow quality bookbindings again! If you already know Linear Algebra, this book may be boring...Reviewed in the United States on November 24, 2021I think that the book bindings were made with cheap materials, taking into account that this book costs 40+ dollars, and probably made in United States. I expected that the book will be sewn in blocks and then glued. This book is only glued and sheets can fell apart if you fully open the book. You can compare this book crafting with a more cheap Dover book but instead with a hard cover, such a pain. I recommend that the bookbinding should be specified in the item description. This kind of books (hardcovers) and specially those of mathematics must last for many decades!Images in this reviewSee all customer imagesTop reviewsMost recentTop reviewsTop reviews from the United StatesThere was a problem filtering reviews right now. Please try again later.
Tomiwa5.0 out of 5 starsThe way Linear Algebra should be taughtReviewed in the United States on March 31, 2023Verified PurchaseI have another text book for my Linear Algebra class. I decided to get this one because I'm a fan of Undergraduate Texts in Mathematics. I don't regret it.Read moreHelpfulReportKevin Preston5.0 out of 5 starsNot the most efficient way to learn, could use better language.Reviewed in the United States on September 11, 2022Verified PurchaseIn my opinion:It's good but, the concise format (small short book) has all explanations, examples and definitions limited to a formal compact form, and it is this brevity that gives the book its deficiencies in communicating Linear Algebra.I have learned the concepts much faster watching the swath of free tutorials online, like Dr. Aviv Censor or MIT open course-ware, and using Gilbert Strang's Linear Algebra Book.Examples could use more expounding, with more statements linking concepts together for coherence and understanding, preferably with more basic common vocabulary (informal style) instead of the typical academic bombastic style (formal style).Read more3 people found this helpfulHelpfulReportmackncheesiest5.0 out of 5 starsA Fantastic Second Pass at Linear AlgebraReviewed in the United States on October 11, 2015Verified PurchaseI used this book in my second course in linear algebra, and I absolutely loved it.One of my biggest points of irritation in my first course in linear algebra was the fact that we first defined determinant as some unintuitive, computational nonsense and then defined eigenvalues from there. Judging off of the foreword, Axler essentially wrote this book so that students like myself could gain some peace of mind.The material is developed wonderfully, in my opinion -- it was much more intuitive than my first pass at linear algebra, and the problems within the book (at least those that my professor assigned) were commonly quite good. On top of that, it was one of the first math textbooks I've owned that I could legitimately sit down and read rather than, say, fall asleep or come away more confused than when I first started reading. The proofs are *mostly* quite readable, and Axler definitely has an enjoyable writing style. Whether it's the little surprises like getting to page 22 and seeing it labeled "~7pi" (there are other easter eggs of that variety, by the way) or writing an anecdote from the supreme court where one of the justices is caught up on the word "orthogonal" inside the chapter on inner products and norms (p. 174), he certainly does his best to make reading the book enjoyable.Apart from the material itself, though, as others have mentioned, the book is also just plain looks nice. I purchased a hardcover edition (which I believe may be the only style printed for the 3rd edition), and whether it's the outer cover or the typeset they use inside, everything just has a nice, colorful pop to it. Coming in at ~330 pages and ~6.5W x 9.5H x 0.8D inches, the book is also compact, an aspect that made carrying it to and from campus each day a trivial task.As a whole, I have essentially nothing but praise for this text. Some may have wanted a linear algebra text that's more computationally intensive, but I'd rather gain the conceptual understanding that Axler has to offer than manually row reduce or invert some arbitrary matrix any day. I absolutely don't want to sell my copy -- this text is one that I'm going to be happy to leave on my bookshelf and use as a reference whenever I find myself needing to freshen up on my linear algebra later in life.Read more19 people found this helpfulHelpfulReport
WU.5.0 out of 5 starsLet their education begin!Reviewed in the United States on July 9, 2016Verified PurchaseExcellent textbook for a second look at linear algebra from a strictly theoretical standpoint. It size is small enough so that one may comfortably carry it around and promptly, effortlessly smack around fools that utter: "linear algebra! that's just y =mx + b!!! LOLZ".Their education is the responsibility of us all, and how often we forget the old ways...The proofs are clear but do require the reader to fill in some gaps. This is intended. Open to any page and witness the clarity that so often escape the best efforts of a certain class of instructor; Axler will not suffer any unmotivated concepts. Everything builds from previous definitions until there's just enough structure to flesh out the chapter objectives, thus there's little fat to distract the reader.Moreover, Axler is so badass that he does away with determinants until the last chapter of the book, he's so pimp he just didn't need any stinking determinants in his proofs. That's right, the last chapter introduces trace and determinants and proceeds to bring everything together into a magnificent mic drop.I now finally understand why determinants are inextricably tied to notions of volume, and why we must multiply by the Jacobian when performing change of variables in multi-variable integrals, and so on.A newcomer to linear algebra will get very little of use here, save for the clearest definitions I've ever seen regarding the structure of vector spaces, subspaces and linear operators. For a more applied/introductory approach to linear algebra, one can do much worse than Strang.I now feel much more comfortable moving onto a graduate-level Linear algebra course after visiting Axler's book, as such, it will be an invaluable reference moving forward.Read more65 people found this helpfulHelpfulReportJuan Florez4.0 out of 5 starsLow quality bookbindings again! If you already know Linear Algebra, this book may be boring...Reviewed in the United States on November 24, 2021Verified PurchaseI think that the book bindings were made with cheap materials, taking into account that this book costs 40+ dollars, and probably made in United States. I expected that the book will be sewn in blocks and then glued. This book is only glued and sheets can fell apart if you fully open the book. You can compare this book crafting with a more cheap Dover book but instead with a hard cover, such a pain. I recommend that the bookbinding should be specified in the item description. This kind of books (hardcovers) and specially those of mathematics must last for many decades!Read moreJuan Florez4.0 out of 5 starsLow quality bookbindings again! If you already know Linear Algebra, this book may be boring...Reviewed in the United States on November 24, 2021I think that the book bindings were made with cheap materials, taking into account that this book costs 40+ dollars, and probably made in United States. I expected that the book will be sewn in blocks and then glued. This book is only glued and sheets can fell apart if you fully open the book. You can compare this book crafting with a more cheap Dover book but instead with a hard cover, such a pain. I recommend that the bookbinding should be specified in the item description. This kind of books (hardcovers) and specially those of mathematics must last for many decades!Images in this reviewfunction toggleSeeAllView() {P.when('A', 'cr-image-popover-controller').execute(function(A, imagePopoverController) {imagePopoverController.toggleSeeAllView(true);});}
P.when('A', 'cr-image-popover-controller').execute(function(A, imagePopoverController) {A.on("a:popover:beforeShow:R3DGN1032S14PV_gallerySection_main", function(data) {imagePopoverController.initImagePopover("R3DGN1032S14PV", "[https://m.media-amazon.com/images/I/71JKLQwluFL._SL1600_.jpg]", data);});});4 people found this helpfulHelpfulReportSee all reviewsTop reviewsMost recentTop reviewsTop reviewsMost recentTop reviewsTop reviewsMost recentTop reviewsTop reviewsTop reviewsTop reviewsTop reviewsTomiwa5.0 out of 5 starsThe way Linear Algebra should be taughtReviewed in the United States on March 31, 2023Verified PurchaseI have another text book for my Linear Algebra class. I decided to get this one because I'm a fan of Undergraduate Texts in Mathematics. I don't regret it.Read moreI have another text book for my Linear Algebra class. I decided to get this one because I'm a fan of Undergraduate Texts in Mathematics. I don't regret it.Read moreHelpfulHelpfulHelpfulReportReportReportKevin Preston5.0 out of 5 starsNot the most efficient way to learn, could use better language.Reviewed in the United States on September 11, 2022Verified PurchaseIn my opinion:It's good but, the concise format (small short book) has all explanations, examples and definitions limited to a formal compact form, and it is this brevity that gives the book its deficiencies in communicating Linear Algebra.I have learned the concepts much faster watching the swath of free tutorials online, like Dr. Aviv Censor or MIT open course-ware, and using Gilbert Strang's Linear Algebra Book.Examples could use more expounding, with more statements linking concepts together for coherence and understanding, preferably with more basic common vocabulary (informal style) instead of the typical academic bombastic style (formal style).Read moreIn my opinion:It's good but, the concise format (small short book) has all explanations, examples and definitions limited to a formal compact form, and it is this brevity that gives the book its deficiencies in communicating Linear Algebra.I have learned the concepts much faster watching the swath of free tutorials online, like Dr. Aviv Censor or MIT open course-ware, and using Gilbert Strang's Linear Algebra Book.Examples could use more expounding, with more statements linking concepts together for coherence and understanding, preferably with more basic common vocabulary (informal style) instead of the typical academic bombastic style (formal style).Read more3 people found this helpfulHelpful3 people found this helpfulHelpfulHelpfulReportReportReportmackncheesiest5.0 out of 5 starsA Fantastic Second Pass at Linear AlgebraReviewed in the United States on October 11, 2015Verified PurchaseI used this book in my second course in linear algebra, and I absolutely loved it.One of my biggest points of irritation in my first course in linear algebra was the fact that we first defined determinant as some unintuitive, computational nonsense and then defined eigenvalues from there. Judging off of the foreword, Axler essentially wrote this book so that students like myself could gain some peace of mind.The material is developed wonderfully, in my opinion -- it was much more intuitive than my first pass at linear algebra, and the problems within the book (at least those that my professor assigned) were commonly quite good. On top of that, it was one of the first math textbooks I've owned that I could legitimately sit down and read rather than, say, fall asleep or come away more confused than when I first started reading. The proofs are *mostly* quite readable, and Axler definitely has an enjoyable writing style. Whether it's the little surprises like getting to page 22 and seeing it labeled "~7pi" (there are other easter eggs of that variety, by the way) or writing an anecdote from the supreme court where one of the justices is caught up on the word "orthogonal" inside the chapter on inner products and norms (p. 174), he certainly does his best to make reading the book enjoyable.Apart from the material itself, though, as others have mentioned, the book is also just plain looks nice. I purchased a hardcover edition (which I believe may be the only style printed for the 3rd edition), and whether it's the outer cover or the typeset they use inside, everything just has a nice, colorful pop to it. Coming in at ~330 pages and ~6.5W x 9.5H x 0.8D inches, the book is also compact, an aspect that made carrying it to and from campus each day a trivial task.As a whole, I have essentially nothing but praise for this text. Some may have wanted a linear algebra text that's more computationally intensive, but I'd rather gain the conceptual understanding that Axler has to offer than manually row reduce or invert some arbitrary matrix any day. I absolutely don't want to sell my copy -- this text is one that I'm going to be happy to leave on my bookshelf and use as a reference whenever I find myself needing to freshen up on my linear algebra later in life.Read moreI used this book in my second course in linear algebra, and I absolutely loved it.One of my biggest points of irritation in my first course in linear algebra was the fact that we first defined determinant as some unintuitive, computational nonsense and then defined eigenvalues from there. Judging off of the foreword, Axler essentially wrote this book so that students like myself could gain some peace of mind.The material is developed wonderfully, in my opinion -- it was much more intuitive than my first pass at linear algebra, and the problems within the book (at least those that my professor assigned) were commonly quite good. On top of that, it was one of the first math textbooks I've owned that I could legitimately sit down and read rather than, say, fall asleep or come away more confused than when I first started reading. The proofs are *mostly* quite readable, and Axler definitely has an enjoyable writing style. Whether it's the little surprises like getting to page 22 and seeing it labeled "~7pi" (there are other easter eggs of that variety, by the way) or writing an anecdote from the supreme court where one of the justices is caught up on the word "orthogonal" inside the chapter on inner products and norms (p. 174), he certainly does his best to make reading the book enjoyable.Apart from the material itself, though, as others have mentioned, the book is also just plain looks nice. I purchased a hardcover edition (which I believe may be the only style printed for the 3rd edition), and whether it's the outer cover or the typeset they use inside, everything just has a nice, colorful pop to it. Coming in at ~330 pages and ~6.5W x 9.5H x 0.8D inches, the book is also compact, an aspect that made carrying it to and from campus each day a trivial task.As a whole, I have essentially nothing but praise for this text. Some may have wanted a linear algebra text that's more computationally intensive, but I'd rather gain the conceptual understanding that Axler has to offer than manually row reduce or invert some arbitrary matrix any day. I absolutely don't want to sell my copy -- this text is one that I'm going to be happy to leave on my bookshelf and use as a reference whenever I find myself needing to freshen up on my linear algebra later in life.Read more19 people found this helpfulHelpful19 people found this helpfulHelpfulHelpfulReportReportReportWU.5.0 out of 5 starsLet their education begin!Reviewed in the United States on July 9, 2016Verified PurchaseExcellent textbook for a second look at linear algebra from a strictly theoretical standpoint. It size is small enough so that one may comfortably carry it around and promptly, effortlessly smack around fools that utter: "linear algebra! that's just y =mx + b!!! LOLZ".Their education is the responsibility of us all, and how often we forget the old ways...The proofs are clear but do require the reader to fill in some gaps. This is intended. Open to any page and witness the clarity that so often escape the best efforts of a certain class of instructor; Axler will not suffer any unmotivated concepts. Everything builds from previous definitions until there's just enough structure to flesh out the chapter objectives, thus there's little fat to distract the reader.Moreover, Axler is so badass that he does away with determinants until the last chapter of the book, he's so pimp he just didn't need any stinking determinants in his proofs. That's right, the last chapter introduces trace and determinants and proceeds to bring everything together into a magnificent mic drop.I now finally understand why determinants are inextricably tied to notions of volume, and why we must multiply by the Jacobian when performing change of variables in multi-variable integrals, and so on.A newcomer to linear algebra will get very little of use here, save for the clearest definitions I've ever seen regarding the structure of vector spaces, subspaces and linear operators. For a more applied/introductory approach to linear algebra, one can do much worse than Strang.I now feel much more comfortable moving onto a graduate-level Linear algebra course after visiting Axler's book, as such, it will be an invaluable reference moving forward.Read moreExcellent textbook for a second look at linear algebra from a strictly theoretical standpoint. It size is small enough so that one may comfortably carry it around and promptly, effortlessly smack around fools that utter: "linear algebra! that's just y =mx + b!!! LOLZ".Their education is the responsibility of us all, and how often we forget the old ways...The proofs are clear but do require the reader to fill in some gaps. This is intended. Open to any page and witness the clarity that so often escape the best efforts of a certain class of instructor; Axler will not suffer any unmotivated concepts. Everything builds from previous definitions until there's just enough structure to flesh out the chapter objectives, thus there's little fat to distract the reader.Moreover, Axler is so badass that he does away with determinants until the last chapter of the book, he's so pimp he just didn't need any stinking determinants in his proofs. That's right, the last chapter introduces trace and determinants and proceeds to bring everything together into a magnificent mic drop.I now finally understand why determinants are inextricably tied to notions of volume, and why we must multiply by the Jacobian when performing change of variables in multi-variable integrals, and so on.A newcomer to linear algebra will get very little of use here, save for the clearest definitions I've ever seen regarding the structure of vector spaces, subspaces and linear operators. For a more applied/introductory approach to linear algebra, one can do much worse than Strang.I now feel much more comfortable moving onto a graduate-level Linear algebra course after visiting Axler's book, as such, it will be an invaluable reference moving forward.Read more65 people found this helpfulHelpful65 people found this helpfulHelpfulHelpfulReportReportReportJuan Florez4.0 out of 5 starsLow quality bookbindings again! If you already know Linear Algebra, this book may be boring...Reviewed in the United States on November 24, 2021Verified PurchaseI think that the book bindings were made with cheap materials, taking into account that this book costs 40+ dollars, and probably made in United States. I expected that the book will be sewn in blocks and then glued. This book is only glued and sheets can fell apart if you fully open the book. You can compare this book crafting with a more cheap Dover book but instead with a hard cover, such a pain. I recommend that the bookbinding should be specified in the item description. This kind of books (hardcovers) and specially those of mathematics must last for many decades!Read moreI think that the book bindings were made with cheap materials, taking into account that this book costs 40+ dollars, and probably made in United States. I expected that the book will be sewn in blocks and then glued. This book is only glued and sheets can fell apart if you fully open the book. You can compare this book crafting with a more cheap Dover book but instead with a hard cover, such a pain. I recommend that the bookbinding should be specified in the item description. This kind of books (hardcovers) and specially those of mathematics must last for many decades!Read moreJuan Florez4.0 out of 5 starsLow quality bookbindings again! If you already know Linear Algebra, this book may be boring...Reviewed in the United States on November 24, 2021I think that the book bindings were made with cheap materials, taking into account that this book costs 40+ dollars, and probably made in United States. I expected that the book will be sewn in blocks and then glued. This book is only glued and sheets can fell apart if you fully open the book. You can compare this book crafting with a more cheap Dover book but instead with a hard cover, such a pain. I recommend that the bookbinding should be specified in the item description. This kind of books (hardcovers) and specially those of mathematics must last for many decades!Images in this review4 people found this helpfulHelpful4 people found this helpfulHelpfulHelpfulReportReportReportTop reviews from other countries
Rahul Madhavan5.0 out of 5 starsOne of the best books in all of mathematicsReviewed in India on February 14, 2020Verified PurchaseTruth is we in India think we are taught linear algebra from our schools, but are never taught linear algebra. What we are taught is to manipulate a certain set of numbers put in a matrix form that gives us answers for unknown reasons.Linear Algebra is beautiful. Much of it comes from geometry. But who is to know that based on what we are taught? Enter Axler. He painstakingly builds up your base in various topics like set theory, fields, bases, dimensions, projections to enable you to get to a point where you re-understand a part of maths that is lost to you, because of the way it has been taught.LADR is not complete - it doesn't cover everything. But what it does cover is built. Not just in the book, but in the reader. It won't be an easy read. But when you are done with about 130 pages of this book, you will get a fresh perspective on all of LA. and LA is pervasive in all of maths. Further, LA is pervasive in much of CS, and in all of machine learning. Getting into those fields without a complete understanding of LA is like entering a flower garden without a sense of smell.Why Linear Algebra?Matrix Algebra tells you how to get the numbers that you want. Linear Algebra tells you why you get them.Bonus: I believe Linear Algebra Done Right is Springer's best seller across all the mathematics textbooks that it sells (saw this in an old excel sheet shared by springer with a publisher).Recommendation:1. For self study: Do Gilbert Strang if you want to get through your exams. But Strang is not rigorous. If you really like mathematics, there is no better book to start your journey in Linear Algebra than Axler.2. For college courses: Should be primary text for undergraduate LA students.Read more48 people found this helpfulReport
mezastel5.0 out of 5 starsBest second book on linear algebraReviewed in the United Kingdom on February 19, 2016Verified PurchaseThis is a good SECOND book on linear algebra. This book will be relevant for mathematicians rather than engineers because it offers a structured, in-depth look at linear spaces, mappings and all related topics. I really like the way the book is structured: it is always clear, and examples of unintuitive topics (like linear maps) are always done in such as way as to make them easily understandable. I enjoyed the book and so will you.Read more7 people found this helpfulReport
Vipin Zamvar5.0 out of 5 starsbrilliant textbookReviewed in the United Kingdom on October 26, 2018Verified Purchasethoroughly recommend for anyone studying linear algebra and geometry. Very clear and easy to read lay out with exercises and answers.Read moreReportMark Smith5.0 out of 5 starsSplendidReviewed in the United Kingdom on January 26, 2020Verified PurchaseFantastic book exactly what I neededRead moreReportGraham4.0 out of 5 starsFour StarsReviewed in the United Kingdom on September 14, 2017Verified PurchaseGood content, just takes a bit of thinking about get it. Although that's my problem hahaRead more2 people found this helpfulReportSee all reviewsTop reviews from other countriesRahul Madhavan5.0 out of 5 starsOne of the best books in all of mathematicsReviewed in India on February 14, 2020Verified PurchaseTruth is we in India think we are taught linear algebra from our schools, but are never taught linear algebra. What we are taught is to manipulate a certain set of numbers put in a matrix form that gives us answers for unknown reasons.Linear Algebra is beautiful. Much of it comes from geometry. But who is to know that based on what we are taught? Enter Axler. He painstakingly builds up your base in various topics like set theory, fields, bases, dimensions, projections to enable you to get to a point where you re-understand a part of maths that is lost to you, because of the way it has been taught.LADR is not complete - it doesn't cover everything. But what it does cover is built. Not just in the book, but in the reader. It won't be an easy read. But when you are done with about 130 pages of this book, you will get a fresh perspective on all of LA. and LA is pervasive in all of maths. Further, LA is pervasive in much of CS, and in all of machine learning. Getting into those fields without a complete understanding of LA is like entering a flower garden without a sense of smell.Why Linear Algebra?Matrix Algebra tells you how to get the numbers that you want. Linear Algebra tells you why you get them.Bonus: I believe Linear Algebra Done Right is Springer's best seller across all the mathematics textbooks that it sells (saw this in an old excel sheet shared by springer with a publisher).Recommendation:1. For self study: Do Gilbert Strang if you want to get through your exams. But Strang is not rigorous. If you really like mathematics, there is no better book to start your journey in Linear Algebra than Axler.2. For college courses: Should be primary text for undergraduate LA students.Read more48 people found this helpfulReportmezastel5.0 out of 5 starsBest second book on linear algebraReviewed in the United Kingdom on February 19, 2016Verified PurchaseThis is a good SECOND book on linear algebra. This book will be relevant for mathematicians rather than engineers because it offers a structured, in-depth look at linear spaces, mappings and all related topics. I really like the way the book is structured: it is always clear, and examples of unintuitive topics (like linear maps) are always done in such as way as to make them easily understandable. I enjoyed the book and so will you.Read more7 people found this helpfulReportVipin Zamvar5.0 out of 5 starsbrilliant textbookReviewed in the United Kingdom on October 26, 2018Verified Purchasethoroughly recommend for anyone studying linear algebra and geometry. Very clear and easy to read lay out with exercises and answers.Read moreReportMark Smith5.0 out of 5 starsSplendidReviewed in the United Kingdom on January 26, 2020Verified PurchaseFantastic book exactly what I neededRead moreReportGraham4.0 out of 5 starsFour StarsReviewed in the United Kingdom on September 14, 2017Verified PurchaseGood content, just takes a bit of thinking about get it. Although that's my problem hahaRead more2 people found this helpfulReportSee all reviewsRahul Madhavan5.0 out of 5 starsOne of the best books in all of mathematicsOne of the best books in all of mathematicsReviewed in India on February 14, 2020Verified PurchaseTruth is we in India think we are taught linear algebra from our schools, but are never taught linear algebra. What we are taught is to manipulate a certain set of numbers put in a matrix form that gives us answers for unknown reasons.Linear Algebra is beautiful. Much of it comes from geometry. But who is to know that based on what we are taught? Enter Axler. He painstakingly builds up your base in various topics like set theory, fields, bases, dimensions, projections to enable you to get to a point where you re-understand a part of maths that is lost to you, because of the way it has been taught.LADR is not complete - it doesn't cover everything. But what it does cover is built. Not just in the book, but in the reader. It won't be an easy read. But when you are done with about 130 pages of this book, you will get a fresh perspective on all of LA. and LA is pervasive in all of maths. Further, LA is pervasive in much of CS, and in all of machine learning. Getting into those fields without a complete understanding of LA is like entering a flower garden without a sense of smell.Why Linear Algebra?Matrix Algebra tells you how to get the numbers that you want. Linear Algebra tells you why you get them.Bonus: I believe Linear Algebra Done Right is Springer's best seller across all the mathematics textbooks that it sells (saw this in an old excel sheet shared by springer with a publisher).Recommendation:1. For self study: Do Gilbert Strang if you want to get through your exams. But Strang is not rigorous. If you really like mathematics, there is no better book to start your journey in Linear Algebra than Axler.2. For college courses: Should be primary text for undergraduate LA students.Read moreTruth is we in India think we are taught linear algebra from our schools, but are never taught linear algebra. What we are taught is to manipulate a certain set of numbers put in a matrix form that gives us answers for unknown reasons.Linear Algebra is beautiful. Much of it comes from geometry. But who is to know that based on what we are taught? Enter Axler. He painstakingly builds up your base in various topics like set theory, fields, bases, dimensions, projections to enable you to get to a point where you re-understand a part of maths that is lost to you, because of the way it has been taught.LADR is not complete - it doesn't cover everything. But what it does cover is built. Not just in the book, but in the reader. It won't be an easy read. But when you are done with about 130 pages of this book, you will get a fresh perspective on all of LA. and LA is pervasive in all of maths. Further, LA is pervasive in much of CS, and in all of machine learning. Getting into those fields without a complete understanding of LA is like entering a flower garden without a sense of smell.Why Linear Algebra?Matrix Algebra tells you how to get the numbers that you want. Linear Algebra tells you why you get them.Bonus: I believe Linear Algebra Done Right is Springer's best seller across all the mathematics textbooks that it sells (saw this in an old excel sheet shared by springer with a publisher).Recommendation:1. For self study: Do Gilbert Strang if you want to get through your exams. But Strang is not rigorous. If you really like mathematics, there is no better book to start your journey in Linear Algebra than Axler.2. For college courses: Should be primary text for undergraduate LA students.Read more48 people found this helpful48 people found this helpfulReportReportReportmezastel5.0 out of 5 starsBest second book on linear algebraBest second book on linear algebraReviewed in the United Kingdom on February 19, 2016Verified PurchaseThis is a good SECOND book on linear algebra. This book will be relevant for mathematicians rather than engineers because it offers a structured, in-depth look at linear spaces, mappings and all related topics. I really like the way the book is structured: it is always clear, and examples of unintuitive topics (like linear maps) are always done in such as way as to make them easily understandable. I enjoyed the book and so will you.Read moreThis is a good SECOND book on linear algebra. This book will be relevant for mathematicians rather than engineers because it offers a structured, in-depth look at linear spaces, mappings and all related topics. I really like the way the book is structured: it is always clear, and examples of unintuitive topics (like linear maps) are always done in such as way as to make them easily understandable. I enjoyed the book and so will you.Read more7 people found this helpful7 people found this helpfulReportReportReportVipin Zamvar5.0 out of 5 starsbrilliant textbookbrilliant textbookReviewed in the United Kingdom on October 26, 2018Verified Purchasethoroughly recommend for anyone studying linear algebra and geometry. Very clear and easy to read lay out with exercises and answers.Read morethoroughly recommend for anyone studying linear algebra and geometry. Very clear and easy to read lay out with exercises and answers.Read moreReportReportReportMark Smith5.0 out of 5 starsSplendidSplendidReviewed in the United Kingdom on January 26, 2020Verified PurchaseFantastic book exactly what I neededRead moreFantastic book exactly what I neededRead moreReportReportReportGraham4.0 out of 5 starsFour StarsFour StarsReviewed in the United Kingdom on September 14, 2017Verified PurchaseGood content, just takes a bit of thinking about get it. Although that's my problem hahaRead moreGood content, just takes a bit of thinking about get it. Although that's my problem hahaRead more2 people found this helpful2 people found this helpfulReportReportReport After viewing product detail pages, look here to find an easy way to navigate back to pages you are interested in. 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Tomiwa5.0 out of 5 starsThe way Linear Algebra should be taughtReviewed in the United States on March 31, 2023Verified PurchaseI have another text book for my Linear Algebra class. I decided to get this one because I'm a fan of Undergraduate Texts in Mathematics. I don't regret it.Read moreHelpfulReportKevin Preston5.0 out of 5 starsNot the most efficient way to learn, could use better language.Reviewed in the United States on September 11, 2022Verified PurchaseIn my opinion:It's good but, the concise format (small short book) has all explanations, examples and definitions limited to a formal compact form, and it is this brevity that gives the book its deficiencies in communicating Linear Algebra.I have learned the concepts much faster watching the swath of free tutorials online, like Dr. Aviv Censor or MIT open course-ware, and using Gilbert Strang's Linear Algebra Book.Examples could use more expounding, with more statements linking concepts together for coherence and understanding, preferably with more basic common vocabulary (informal style) instead of the typical academic bombastic style (formal style).Read more3 people found this helpfulHelpfulReportmackncheesiest5.0 out of 5 starsA Fantastic Second Pass at Linear AlgebraReviewed in the United States on October 11, 2015Verified PurchaseI used this book in my second course in linear algebra, and I absolutely loved it.One of my biggest points of irritation in my first course in linear algebra was the fact that we first defined determinant as some unintuitive, computational nonsense and then defined eigenvalues from there. Judging off of the foreword, Axler essentially wrote this book so that students like myself could gain some peace of mind.The material is developed wonderfully, in my opinion -- it was much more intuitive than my first pass at linear algebra, and the problems within the book (at least those that my professor assigned) were commonly quite good. On top of that, it was one of the first math textbooks I've owned that I could legitimately sit down and read rather than, say, fall asleep or come away more confused than when I first started reading. The proofs are *mostly* quite readable, and Axler definitely has an enjoyable writing style. Whether it's the little surprises like getting to page 22 and seeing it labeled "~7pi" (there are other easter eggs of that variety, by the way) or writing an anecdote from the supreme court where one of the justices is caught up on the word "orthogonal" inside the chapter on inner products and norms (p. 174), he certainly does his best to make reading the book enjoyable.Apart from the material itself, though, as others have mentioned, the book is also just plain looks nice. I purchased a hardcover edition (which I believe may be the only style printed for the 3rd edition), and whether it's the outer cover or the typeset they use inside, everything just has a nice, colorful pop to it. Coming in at ~330 pages and ~6.5W x 9.5H x 0.8D inches, the book is also compact, an aspect that made carrying it to and from campus each day a trivial task.As a whole, I have essentially nothing but praise for this text. Some may have wanted a linear algebra text that's more computationally intensive, but I'd rather gain the conceptual understanding that Axler has to offer than manually row reduce or invert some arbitrary matrix any day. I absolutely don't want to sell my copy -- this text is one that I'm going to be happy to leave on my bookshelf and use as a reference whenever I find myself needing to freshen up on my linear algebra later in life.Read more19 people found this helpfulHelpfulReportWU.5.0 out of 5 starsLet their education begin!Reviewed in the United States on July 9, 2016Verified PurchaseExcellent textbook for a second look at linear algebra from a strictly theoretical standpoint. It size is small enough so that one may comfortably carry it around and promptly, effortlessly smack around fools that utter: "linear algebra! that's just y =mx + b!!! LOLZ".Their education is the responsibility of us all, and how often we forget the old ways...The proofs are clear but do require the reader to fill in some gaps. This is intended. Open to any page and witness the clarity that so often escape the best efforts of a certain class of instructor; Axler will not suffer any unmotivated concepts. Everything builds from previous definitions until there's just enough structure to flesh out the chapter objectives, thus there's little fat to distract the reader.Moreover, Axler is so badass that he does away with determinants until the last chapter of the book, he's so pimp he just didn't need any stinking determinants in his proofs. That's right, the last chapter introduces trace and determinants and proceeds to bring everything together into a magnificent mic drop.I now finally understand why determinants are inextricably tied to notions of volume, and why we must multiply by the Jacobian when performing change of variables in multi-variable integrals, and so on.A newcomer to linear algebra will get very little of use here, save for the clearest definitions I've ever seen regarding the structure of vector spaces, subspaces and linear operators. For a more applied/introductory approach to linear algebra, one can do much worse than Strang.I now feel much more comfortable moving onto a graduate-level Linear algebra course after visiting Axler's book, as such, it will be an invaluable reference moving forward.Read more65 people found this helpfulHelpfulReportJuan Florez4.0 out of 5 starsLow quality bookbindings again! If you already know Linear Algebra, this book may be boring...Reviewed in the United States on November 24, 2021Verified PurchaseI think that the book bindings were made with cheap materials, taking into account that this book costs 40+ dollars, and probably made in United States. I expected that the book will be sewn in blocks and then glued. This book is only glued and sheets can fell apart if you fully open the book. You can compare this book crafting with a more cheap Dover book but instead with a hard cover, such a pain. I recommend that the bookbinding should be specified in the item description. This kind of books (hardcovers) and specially those of mathematics must last for many decades!Read moreJuan Florez4.0 out of 5 starsLow quality bookbindings again! If you already know Linear Algebra, this book may be boring...Reviewed in the United States on November 24, 2021I think that the book bindings were made with cheap materials, taking into account that this book costs 40+ dollars, and probably made in United States. I expected that the book will be sewn in blocks and then glued. This book is only glued and sheets can fell apart if you fully open the book. You can compare this book crafting with a more cheap Dover book but instead with a hard cover, such a pain. I recommend that the bookbinding should be specified in the item description. This kind of books (hardcovers) and specially those of mathematics must last for many decades!Images in this reviewfunction toggleSeeAllView() {P.when('A', 'cr-image-popover-controller').execute(function(A, imagePopoverController) {imagePopoverController.toggleSeeAllView(true);});}P.when('A', 'cr-image-popover-controller').execute(function(A, imagePopoverController) {A.on("a:popover:beforeShow:R3DGN1032S14PV_gallerySection_main", function(data) {imagePopoverController.initImagePopover("R3DGN1032S14PV", "[https://m.media-amazon.com/images/I/71JKLQwluFL._SL1600_.jpg]", data);});});4 people found this helpfulHelpfulReportSee all reviewsTop reviewsMost recentTop reviewsTop reviewsMost recentTop reviewsTop reviewsMost recentTop reviewsTop reviewsTop reviewsTop reviewsTop reviewsTomiwa5.0 out of 5 starsThe way Linear Algebra should be taughtReviewed in the United States on March 31, 2023Verified PurchaseI have another text book for my Linear Algebra class. I decided to get this one because I'm a fan of Undergraduate Texts in Mathematics. I don't regret it.Read moreI have another text book for my Linear Algebra class. I decided to get this one because I'm a fan of Undergraduate Texts in Mathematics. I don't regret it.Read moreHelpfulHelpfulHelpfulReportReportReportKevin Preston5.0 out of 5 starsNot the most efficient way to learn, could use better language.Reviewed in the United States on September 11, 2022Verified PurchaseIn my opinion:It's good but, the concise format (small short book) has all explanations, examples and definitions limited to a formal compact form, and it is this brevity that gives the book its deficiencies in communicating Linear Algebra.I have learned the concepts much faster watching the swath of free tutorials online, like Dr. Aviv Censor or MIT open course-ware, and using Gilbert Strang's Linear Algebra Book.Examples could use more expounding, with more statements linking concepts together for coherence and understanding, preferably with more basic common vocabulary (informal style) instead of the typical academic bombastic style (formal style).Read moreIn my opinion:It's good but, the concise format (small short book) has all explanations, examples and definitions limited to a formal compact form, and it is this brevity that gives the book its deficiencies in communicating Linear Algebra.I have learned the concepts much faster watching the swath of free tutorials online, like Dr. Aviv Censor or MIT open course-ware, and using Gilbert Strang's Linear Algebra Book.Examples could use more expounding, with more statements linking concepts together for coherence and understanding, preferably with more basic common vocabulary (informal style) instead of the typical academic bombastic style (formal style).Read more3 people found this helpfulHelpful3 people found this helpfulHelpfulHelpfulReportReportReportmackncheesiest5.0 out of 5 starsA Fantastic Second Pass at Linear AlgebraReviewed in the United States on October 11, 2015Verified PurchaseI used this book in my second course in linear algebra, and I absolutely loved it.One of my biggest points of irritation in my first course in linear algebra was the fact that we first defined determinant as some unintuitive, computational nonsense and then defined eigenvalues from there. Judging off of the foreword, Axler essentially wrote this book so that students like myself could gain some peace of mind.The material is developed wonderfully, in my opinion -- it was much more intuitive than my first pass at linear algebra, and the problems within the book (at least those that my professor assigned) were commonly quite good. On top of that, it was one of the first math textbooks I've owned that I could legitimately sit down and read rather than, say, fall asleep or come away more confused than when I first started reading. The proofs are *mostly* quite readable, and Axler definitely has an enjoyable writing style. Whether it's the little surprises like getting to page 22 and seeing it labeled "~7pi" (there are other easter eggs of that variety, by the way) or writing an anecdote from the supreme court where one of the justices is caught up on the word "orthogonal" inside the chapter on inner products and norms (p. 174), he certainly does his best to make reading the book enjoyable.Apart from the material itself, though, as others have mentioned, the book is also just plain looks nice. I purchased a hardcover edition (which I believe may be the only style printed for the 3rd edition), and whether it's the outer cover or the typeset they use inside, everything just has a nice, colorful pop to it. Coming in at ~330 pages and ~6.5W x 9.5H x 0.8D inches, the book is also compact, an aspect that made carrying it to and from campus each day a trivial task.As a whole, I have essentially nothing but praise for this text. Some may have wanted a linear algebra text that's more computationally intensive, but I'd rather gain the conceptual understanding that Axler has to offer than manually row reduce or invert some arbitrary matrix any day. I absolutely don't want to sell my copy -- this text is one that I'm going to be happy to leave on my bookshelf and use as a reference whenever I find myself needing to freshen up on my linear algebra later in life.Read moreI used this book in my second course in linear algebra, and I absolutely loved it.One of my biggest points of irritation in my first course in linear algebra was the fact that we first defined determinant as some unintuitive, computational nonsense and then defined eigenvalues from there. Judging off of the foreword, Axler essentially wrote this book so that students like myself could gain some peace of mind.The material is developed wonderfully, in my opinion -- it was much more intuitive than my first pass at linear algebra, and the problems within the book (at least those that my professor assigned) were commonly quite good. On top of that, it was one of the first math textbooks I've owned that I could legitimately sit down and read rather than, say, fall asleep or come away more confused than when I first started reading. The proofs are *mostly* quite readable, and Axler definitely has an enjoyable writing style. Whether it's the little surprises like getting to page 22 and seeing it labeled "~7pi" (there are other easter eggs of that variety, by the way) or writing an anecdote from the supreme court where one of the justices is caught up on the word "orthogonal" inside the chapter on inner products and norms (p. 174), he certainly does his best to make reading the book enjoyable.Apart from the material itself, though, as others have mentioned, the book is also just plain looks nice. I purchased a hardcover edition (which I believe may be the only style printed for the 3rd edition), and whether it's the outer cover or the typeset they use inside, everything just has a nice, colorful pop to it. Coming in at ~330 pages and ~6.5W x 9.5H x 0.8D inches, the book is also compact, an aspect that made carrying it to and from campus each day a trivial task.As a whole, I have essentially nothing but praise for this text. Some may have wanted a linear algebra text that's more computationally intensive, but I'd rather gain the conceptual understanding that Axler has to offer than manually row reduce or invert some arbitrary matrix any day. I absolutely don't want to sell my copy -- this text is one that I'm going to be happy to leave on my bookshelf and use as a reference whenever I find myself needing to freshen up on my linear algebra later in life.Read more19 people found this helpfulHelpful19 people found this helpfulHelpfulHelpfulReportReportReportWU.5.0 out of 5 starsLet their education begin!Reviewed in the United States on July 9, 2016Verified PurchaseExcellent textbook for a second look at linear algebra from a strictly theoretical standpoint. It size is small enough so that one may comfortably carry it around and promptly, effortlessly smack around fools that utter: "linear algebra! that's just y =mx + b!!! LOLZ".Their education is the responsibility of us all, and how often we forget the old ways...The proofs are clear but do require the reader to fill in some gaps. This is intended. Open to any page and witness the clarity that so often escape the best efforts of a certain class of instructor; Axler will not suffer any unmotivated concepts. Everything builds from previous definitions until there's just enough structure to flesh out the chapter objectives, thus there's little fat to distract the reader.Moreover, Axler is so badass that he does away with determinants until the last chapter of the book, he's so pimp he just didn't need any stinking determinants in his proofs. That's right, the last chapter introduces trace and determinants and proceeds to bring everything together into a magnificent mic drop.I now finally understand why determinants are inextricably tied to notions of volume, and why we must multiply by the Jacobian when performing change of variables in multi-variable integrals, and so on.A newcomer to linear algebra will get very little of use here, save for the clearest definitions I've ever seen regarding the structure of vector spaces, subspaces and linear operators. For a more applied/introductory approach to linear algebra, one can do much worse than Strang.I now feel much more comfortable moving onto a graduate-level Linear algebra course after visiting Axler's book, as such, it will be an invaluable reference moving forward.Read moreExcellent textbook for a second look at linear algebra from a strictly theoretical standpoint. It size is small enough so that one may comfortably carry it around and promptly, effortlessly smack around fools that utter: "linear algebra! that's just y =mx + b!!! LOLZ".Their education is the responsibility of us all, and how often we forget the old ways...The proofs are clear but do require the reader to fill in some gaps. This is intended. Open to any page and witness the clarity that so often escape the best efforts of a certain class of instructor; Axler will not suffer any unmotivated concepts. Everything builds from previous definitions until there's just enough structure to flesh out the chapter objectives, thus there's little fat to distract the reader.Moreover, Axler is so badass that he does away with determinants until the last chapter of the book, he's so pimp he just didn't need any stinking determinants in his proofs. That's right, the last chapter introduces trace and determinants and proceeds to bring everything together into a magnificent mic drop.I now finally understand why determinants are inextricably tied to notions of volume, and why we must multiply by the Jacobian when performing change of variables in multi-variable integrals, and so on.A newcomer to linear algebra will get very little of use here, save for the clearest definitions I've ever seen regarding the structure of vector spaces, subspaces and linear operators. For a more applied/introductory approach to linear algebra, one can do much worse than Strang.I now feel much more comfortable moving onto a graduate-level Linear algebra course after visiting Axler's book, as such, it will be an invaluable reference moving forward.Read more65 people found this helpfulHelpful65 people found this helpfulHelpfulHelpfulReportReportReportJuan Florez4.0 out of 5 starsLow quality bookbindings again! If you already know Linear Algebra, this book may be boring...Reviewed in the United States on November 24, 2021Verified PurchaseI think that the book bindings were made with cheap materials, taking into account that this book costs 40+ dollars, and probably made in United States. I expected that the book will be sewn in blocks and then glued. This book is only glued and sheets can fell apart if you fully open the book. You can compare this book crafting with a more cheap Dover book but instead with a hard cover, such a pain. I recommend that the bookbinding should be specified in the item description. This kind of books (hardcovers) and specially those of mathematics must last for many decades!Read moreI think that the book bindings were made with cheap materials, taking into account that this book costs 40+ dollars, and probably made in United States. I expected that the book will be sewn in blocks and then glued. This book is only glued and sheets can fell apart if you fully open the book. You can compare this book crafting with a more cheap Dover book but instead with a hard cover, such a pain. I recommend that the bookbinding should be specified in the item description. This kind of books (hardcovers) and specially those of mathematics must last for many decades!Read moreJuan Florez4.0 out of 5 starsLow quality bookbindings again! If you already know Linear Algebra, this book may be boring...Reviewed in the United States on November 24, 2021I think that the book bindings were made with cheap materials, taking into account that this book costs 40+ dollars, and probably made in United States. I expected that the book will be sewn in blocks and then glued. This book is only glued and sheets can fell apart if you fully open the book. You can compare this book crafting with a more cheap Dover book but instead with a hard cover, such a pain. I recommend that the bookbinding should be specified in the item description. This kind of books (hardcovers) and specially those of mathematics must last for many decades!Images in this review4 people found this helpfulHelpful4 people found this helpfulHelpfulHelpfulReportReportReportTop reviews from other countriesRahul Madhavan5.0 out of 5 starsOne of the best books in all of mathematicsReviewed in India on February 14, 2020Verified PurchaseTruth is we in India think we are taught linear algebra from our schools, but are never taught linear algebra. What we are taught is to manipulate a certain set of numbers put in a matrix form that gives us answers for unknown reasons.Linear Algebra is beautiful. Much of it comes from geometry. But who is to know that based on what we are taught? Enter Axler. He painstakingly builds up your base in various topics like set theory, fields, bases, dimensions, projections to enable you to get to a point where you re-understand a part of maths that is lost to you, because of the way it has been taught.LADR is not complete - it doesn't cover everything. But what it does cover is built. Not just in the book, but in the reader. It won't be an easy read. But when you are done with about 130 pages of this book, you will get a fresh perspective on all of LA. and LA is pervasive in all of maths. Further, LA is pervasive in much of CS, and in all of machine learning. Getting into those fields without a complete understanding of LA is like entering a flower garden without a sense of smell.Why Linear Algebra?Matrix Algebra tells you how to get the numbers that you want. Linear Algebra tells you why you get them.Bonus: I believe Linear Algebra Done Right is Springer's best seller across all the mathematics textbooks that it sells (saw this in an old excel sheet shared by springer with a publisher).Recommendation:1. For self study: Do Gilbert Strang if you want to get through your exams. But Strang is not rigorous. If you really like mathematics, there is no better book to start your journey in Linear Algebra than Axler.2. For college courses: Should be primary text for undergraduate LA students.Read more48 people found this helpfulReportmezastel5.0 out of 5 starsBest second book on linear algebraReviewed in the United Kingdom on February 19, 2016Verified PurchaseThis is a good SECOND book on linear algebra. This book will be relevant for mathematicians rather than engineers because it offers a structured, in-depth look at linear spaces, mappings and all related topics. I really like the way the book is structured: it is always clear, and examples of unintuitive topics (like linear maps) are always done in such as way as to make them easily understandable. I enjoyed the book and so will you.Read more7 people found this helpfulReportVipin Zamvar5.0 out of 5 starsbrilliant textbookReviewed in the United Kingdom on October 26, 2018Verified Purchasethoroughly recommend for anyone studying linear algebra and geometry. Very clear and easy to read lay out with exercises and answers.Read moreReportMark Smith5.0 out of 5 starsSplendidReviewed in the United Kingdom on January 26, 2020Verified PurchaseFantastic book exactly what I neededRead moreReportGraham4.0 out of 5 starsFour StarsReviewed in the United Kingdom on September 14, 2017Verified PurchaseGood content, just takes a bit of thinking about get it. Although that's my problem hahaRead more2 people found this helpfulReportSee all reviewsTop reviews from other countriesRahul Madhavan5.0 out of 5 starsOne of the best books in all of mathematicsReviewed in India on February 14, 2020Verified PurchaseTruth is we in India think we are taught linear algebra from our schools, but are never taught linear algebra. What we are taught is to manipulate a certain set of numbers put in a matrix form that gives us answers for unknown reasons.Linear Algebra is beautiful. Much of it comes from geometry. But who is to know that based on what we are taught? Enter Axler. He painstakingly builds up your base in various topics like set theory, fields, bases, dimensions, projections to enable you to get to a point where you re-understand a part of maths that is lost to you, because of the way it has been taught.LADR is not complete - it doesn't cover everything. But what it does cover is built. Not just in the book, but in the reader. It won't be an easy read. But when you are done with about 130 pages of this book, you will get a fresh perspective on all of LA. and LA is pervasive in all of maths. Further, LA is pervasive in much of CS, and in all of machine learning. Getting into those fields without a complete understanding of LA is like entering a flower garden without a sense of smell.Why Linear Algebra?Matrix Algebra tells you how to get the numbers that you want. Linear Algebra tells you why you get them.Bonus: I believe Linear Algebra Done Right is Springer's best seller across all the mathematics textbooks that it sells (saw this in an old excel sheet shared by springer with a publisher).Recommendation:1. For self study: Do Gilbert Strang if you want to get through your exams. But Strang is not rigorous. If you really like mathematics, there is no better book to start your journey in Linear Algebra than Axler.2. For college courses: Should be primary text for undergraduate LA students.Read more48 people found this helpfulReportmezastel5.0 out of 5 starsBest second book on linear algebraReviewed in the United Kingdom on February 19, 2016Verified PurchaseThis is a good SECOND book on linear algebra. This book will be relevant for mathematicians rather than engineers because it offers a structured, in-depth look at linear spaces, mappings and all related topics. I really like the way the book is structured: it is always clear, and examples of unintuitive topics (like linear maps) are always done in such as way as to make them easily understandable. I enjoyed the book and so will you.Read more7 people found this helpfulReportVipin Zamvar5.0 out of 5 starsbrilliant textbookReviewed in the United Kingdom on October 26, 2018Verified Purchasethoroughly recommend for anyone studying linear algebra and geometry. Very clear and easy to read lay out with exercises and answers.Read moreReportMark Smith5.0 out of 5 starsSplendidReviewed in the United Kingdom on January 26, 2020Verified PurchaseFantastic book exactly what I neededRead moreReportGraham4.0 out of 5 starsFour StarsReviewed in the United Kingdom on September 14, 2017Verified PurchaseGood content, just takes a bit of thinking about get it. Although that's my problem hahaRead more2 people found this helpfulReportSee all reviewsRahul Madhavan5.0 out of 5 starsOne of the best books in all of mathematicsOne of the best books in all of mathematicsReviewed in India on February 14, 2020Verified PurchaseTruth is we in India think we are taught linear algebra from our schools, but are never taught linear algebra. What we are taught is to manipulate a certain set of numbers put in a matrix form that gives us answers for unknown reasons.Linear Algebra is beautiful. Much of it comes from geometry. But who is to know that based on what we are taught? Enter Axler. He painstakingly builds up your base in various topics like set theory, fields, bases, dimensions, projections to enable you to get to a point where you re-understand a part of maths that is lost to you, because of the way it has been taught.LADR is not complete - it doesn't cover everything. But what it does cover is built. Not just in the book, but in the reader. It won't be an easy read. But when you are done with about 130 pages of this book, you will get a fresh perspective on all of LA. and LA is pervasive in all of maths. Further, LA is pervasive in much of CS, and in all of machine learning. Getting into those fields without a complete understanding of LA is like entering a flower garden without a sense of smell.Why Linear Algebra?Matrix Algebra tells you how to get the numbers that you want. Linear Algebra tells you why you get them.Bonus: I believe Linear Algebra Done Right is Springer's best seller across all the mathematics textbooks that it sells (saw this in an old excel sheet shared by springer with a publisher).Recommendation:1. For self study: Do Gilbert Strang if you want to get through your exams. But Strang is not rigorous. If you really like mathematics, there is no better book to start your journey in Linear Algebra than Axler.2. For college courses: Should be primary text for undergraduate LA students.Read moreTruth is we in India think we are taught linear algebra from our schools, but are never taught linear algebra. What we are taught is to manipulate a certain set of numbers put in a matrix form that gives us answers for unknown reasons.Linear Algebra is beautiful. Much of it comes from geometry. But who is to know that based on what we are taught? Enter Axler. He painstakingly builds up your base in various topics like set theory, fields, bases, dimensions, projections to enable you to get to a point where you re-understand a part of maths that is lost to you, because of the way it has been taught.LADR is not complete - it doesn't cover everything. But what it does cover is built. Not just in the book, but in the reader. It won't be an easy read. But when you are done with about 130 pages of this book, you will get a fresh perspective on all of LA. and LA is pervasive in all of maths. Further, LA is pervasive in much of CS, and in all of machine learning. Getting into those fields without a complete understanding of LA is like entering a flower garden without a sense of smell.Why Linear Algebra?Matrix Algebra tells you how to get the numbers that you want. Linear Algebra tells you why you get them.Bonus: I believe Linear Algebra Done Right is Springer's best seller across all the mathematics textbooks that it sells (saw this in an old excel sheet shared by springer with a publisher).Recommendation:1. For self study: Do Gilbert Strang if you want to get through your exams. But Strang is not rigorous. If you really like mathematics, there is no better book to start your journey in Linear Algebra than Axler.2. For college courses: Should be primary text for undergraduate LA students.Read more48 people found this helpful48 people found this helpfulReportReportReportmezastel5.0 out of 5 starsBest second book on linear algebraBest second book on linear algebraReviewed in the United Kingdom on February 19, 2016Verified PurchaseThis is a good SECOND book on linear algebra. This book will be relevant for mathematicians rather than engineers because it offers a structured, in-depth look at linear spaces, mappings and all related topics. I really like the way the book is structured: it is always clear, and examples of unintuitive topics (like linear maps) are always done in such as way as to make them easily understandable. I enjoyed the book and so will you.Read moreThis is a good SECOND book on linear algebra. This book will be relevant for mathematicians rather than engineers because it offers a structured, in-depth look at linear spaces, mappings and all related topics. I really like the way the book is structured: it is always clear, and examples of unintuitive topics (like linear maps) are always done in such as way as to make them easily understandable. I enjoyed the book and so will you.Read more7 people found this helpful7 people found this helpfulReportReportReportVipin Zamvar5.0 out of 5 starsbrilliant textbookbrilliant textbookReviewed in the United Kingdom on October 26, 2018Verified Purchasethoroughly recommend for anyone studying linear algebra and geometry. Very clear and easy to read lay out with exercises and answers.Read morethoroughly recommend for anyone studying linear algebra and geometry. Very clear and easy to read lay out with exercises and answers.Read moreReportReportReportMark Smith5.0 out of 5 starsSplendidSplendidReviewed in the United Kingdom on January 26, 2020Verified PurchaseFantastic book exactly what I neededRead moreFantastic book exactly what I neededRead moreReportReportReportGraham4.0 out of 5 starsFour StarsFour StarsReviewed in the United Kingdom on September 14, 2017Verified PurchaseGood content, just takes a bit of thinking about get it. Although that's my problem hahaRead moreGood content, just takes a bit of thinking about get it. Although that's my problem hahaRead more2 people found this helpful2 people found this helpfulReportReportReport After viewing product detail pages, look here to find an easy way to navigate back to pages you are interested in. 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