Linear Algebra and its Applications
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- Type：Epub+TxT+PDF+Mobi
- Create Date：2021-08-14 09:53:05
- Update Date：2025-09-07
- Status：finish
- Author：David C. Lay
- ISBN：1292092238
- Environment：PC/Android/iPhone/iPad/Kindle
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Reviews
Daniel
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Good book， covers intro undergrad linalg。 I wish it included the online optimization & finite-state markov chain chpts :（
Hesam Alinejad
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An ideal book for someone who wants to start linear algebra。 I saw in other reviews that some readers regarded the book as boring。 I rather think that it's not the book's fault， but the truth is that linear algebra itself sometimes gets boring especially when you're learning the stuff for the first time。 Therefore I think that's crucial to have a strong reason to study the subject。 An ideal book for someone who wants to start linear algebra。 I saw in other reviews that some readers regarded the book as boring。 I rather think that it's not the book's fault， but the truth is that linear algebra itself sometimes gets boring especially when you're learning the stuff for the first time。 Therefore I think that's crucial to have a strong reason to study the subject。 。。。more
Ho Sing
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I used this for a graduate course for non-mathematics major。In a mathematics textbook， I value graphicality the most， meaning each concepts and theorems are not only laid out in a manner that is easy to grasp， but allow readers to develop a concept model in their brains that can aid long term memory。 I believe this textbook did quite well in this aspect， and I could understand most of theorems without much difficulty。However， what this textbook suffers from is a tendency to oversimplify the expl I used this for a graduate course for non-mathematics major。In a mathematics textbook， I value graphicality the most， meaning each concepts and theorems are not only laid out in a manner that is easy to grasp， but allow readers to develop a concept model in their brains that can aid long term memory。 I believe this textbook did quite well in this aspect， and I could understand most of theorems without much difficulty。However， what this textbook suffers from is a tendency to oversimplify the explanations and examples， especially in the more advanced topics like Principle Component Analysis。 While it certainly encourages readers to link the logical steps on their own， I felt like this challenge compromises my understanding of some of the concepts。That said， this is a great textbook for non-mathematics major that finds mathematical writing style too exotic。 。。。more
Micah
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a bit thin on plot
Kevin Holst
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This is a good introduction to linear algebra， for those new to the subject。 It tends to be more focused on the applications than to developing proofs for the various results， but they are there。
Rob Bennett
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Paying for a textbook and flipping to the back to see an answer or brief explanation only to see "check the study guide" which costs additional money is pretty irritating。 Paying for a textbook and flipping to the back to see an answer or brief explanation only to see "check the study guide" which costs additional money is pretty irritating。 。。。more
Itthipun Munkong
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Good texts， helpful and nice assignment problems
Igor Fomenko
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Very good book， much better than famous Strang， contain's a lot of exercises which helps you to debug your own code， for example。 But I'm really happy that first 200 pages of Boyd's Intro to applied linear algebra book was my introduction to linear algebra because of Gram-Schmidt procedure， QU （QR） decomposition and left and right inverses （pseudo inverses）。 Very good book， much better than famous Strang， contain's a lot of exercises which helps you to debug your own code， for example。 But I'm really happy that first 200 pages of Boyd's Intro to applied linear algebra book was my introduction to linear algebra because of Gram-Schmidt procedure， QU （QR） decomposition and left and right inverses （pseudo inverses）。 。。。more
Isabelle
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Must say， pretty boring book。。 Slogged through most of the problems。 While boring， it does provide a solid foundation and practices to refresh memory/drill the concepts into your head。
Klock Robbie
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not sure if gilbert strang would’ve done it better。 shame we didn’t get into dimension earlier in the book。 wish it painted the bigger picture sooner instead of waiting until eigenvalues
Snorlax
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This is probably more easy to understand than Gilbert Strang's book https://www。goodreads。com/book/show/1。。。I respect both professors a lot。 However， a good textbook should be self-evident， unlike Gilbert Strang's which requires you to go through MIT videos。 This is probably more easy to understand than Gilbert Strang's book https://www。goodreads。com/book/show/1。。。I respect both professors a lot。 However， a good textbook should be self-evident， unlike Gilbert Strang's which requires you to go through MIT videos。 。。。more
Özgür
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In general， it is a good book on Linear Algebra with excellent manner。 Explanations are clear and concise and it is nicely done by geometrical emphasis。 No unnecessary， complicated exercises are present and answers to odd numbered questions are given at the end of the book。Only thing that I disliked is the chapter 8， last chapter of the offline book。 Somewhat this chapter feels different than the previous chapters， maybe a coauthor effect。 It also feels a bit unrelated。 I didn't read online chap In general， it is a good book on Linear Algebra with excellent manner。 Explanations are clear and concise and it is nicely done by geometrical emphasis。 No unnecessary， complicated exercises are present and answers to odd numbered questions are given at the end of the book。Only thing that I disliked is the chapter 8， last chapter of the offline book。 Somewhat this chapter feels different than the previous chapters， maybe a coauthor effect。 It also feels a bit unrelated。 I didn't read online chapters， this could be the reason why I felt like that。 I am not sure。Nevertheless， I strongly recommended it for introduction。 。。。more
Hamed Mahdavi
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Good book to start linear algebra， but not enough for advanced usage。
Guozhang Chen
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Great book。 Very clear， I only read the eigenvale and eigenvector chapter， it is better than that in Gilbert's book。 Great book。 Very clear， I only read the eigenvale and eigenvector chapter， it is better than that in Gilbert's book。 。。。more
Nathan Albright
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I'm not going to lie; this was a very boring book。 In all fairness， the book is a college level textbook in linear algebra， and few people would read such a book for their personal amusement as I did， so I will not judge it too harshly or not being particularly exciting， because I had no expectations that it would be so。 That said， this book does have ambitions of being relevant， if not exciting， and it is certainly intriguing and worthwhile to see how it is that the book encourages readers to I'm not going to lie; this was a very boring book。 In all fairness， the book is a college level textbook in linear algebra， and few people would read such a book for their personal amusement as I did， so I will not judge it too harshly or not being particularly exciting， because I had no expectations that it would be so。 That said， this book does have ambitions of being relevant， if not exciting， and it is certainly intriguing and worthwhile to see how it is that the book encourages readers to pay attention to the relevance of its subjects， even if that subject is not the most exciting or interesting thing in the world。 Although this textbook seems to be the sort of book that the Manga Guide to Linear Algebra was written in response to， but all the same it is worthwhile to note that this book does try--very hard--to demonstrate the practical importance of linear algebra even if its approach is not very interesting and even if its style is particularly leaden。 It reminded me that knowledge of a subject's relevance and a desire to convey the importance of subject matter is not sufficient to make something exciting to read。This book is about 500 pages long and is divided into seven chapters。 The first chapter discusses linear equations in linear algebra， introducing the book's concepts （1）， which takes up the first 100 pages or so。 After that the author discusses matrix algebra， with plenty of problems to help the student master the material （2）。 A short chapter on determinants follows， which includes Cramer's rule （3）， before the author moves on to discuss vector spaces and questions of rank and various applications （4） of the subject。 This leads into a chapter on eigenvalues and eigenvectors that shows applications to differential equations and spotted owls （5）。 The author then concludes the main section of the book with a chapter on orthogonality and the least squares method （6） that provides plenty of applications and then a closing chapter on symmetric matrices and quadratic forms that deals with constraint optimization and other applications （7）。 After this there are appendices on the uniqueness of the reduced echelon form （A） as well as complex numbers （B） for those who want additional material on these subjects， before the book concludes with a glossary， answers to odd-numbered exercises， and an index of the book's materials。In reading a book like this， even if I have no particular driving need to familiarize myself with linear algebra， I was reminded of the sort of appeal which teachers and textbook writers often use when it comes to mathematics subjects， and that is the push towards pointing out the applications of subjects。 To be sure， there are many applications of linear algebra and it is a very useful subject， as are many aspects of math and science and related subjects。 It was striking， though， to wonder why it was that the author of this book did not seek to inspire a certain degree of passion or creativity when it comes to the subject。 It is one thing to know that there are many ways to use a subject and many jobs where a given subject comes in handy， but it is an entirely different thing to be filled with a degree of passion and enthusiasm to solve particular problems in the world today through mastery of a technical field like linear algebra。 Contrary to this book's overwhelming dullness （and reading it was I was falling asleep was certainly a very bad idea）， this subject is worth more than just attempts to cure insomnia。 。。。more
Helena Zhu
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The book is a comprehensive introduction to linear algebra and incorporates some examples of practical applications。 I would recommend supplementing learnings from this book with materials that could allow for a better conceptual understanding of the constructs of the linear algebraic system， such as 3Blue1Brown's Essence of Linear Algebra YouTube video series。 The book is a comprehensive introduction to linear algebra and incorporates some examples of practical applications。 I would recommend supplementing learnings from this book with materials that could allow for a better conceptual understanding of the constructs of the linear algebraic system， such as 3Blue1Brown's Essence of Linear Algebra YouTube video series。 。。。more
Matt
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A good， if basic， textbook for linear algebra。 I wish that the two online chapters had been printed in the book， especially the chapter covering Markov chain processes。
Fabian Zhafransyah
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As an undergrad student who has never learned math voluntarily before， I think this book is great for beginners。 It provides an intuitive image of what is actually happening。 More often than not， it does a good job at translating the formula to a sensible sentence， and throughout reading this book it made me realize that mathematical formula isn't more than a language。 As an undergrad student who has never learned math voluntarily before， I think this book is great for beginners。 It provides an intuitive image of what is actually happening。 More often than not， it does a good job at translating the formula to a sensible sentence， and throughout reading this book it made me realize that mathematical formula isn't more than a language。 。。。more
Arun Mahendrakar
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Every chapter stats with a practical application of what is being discussed in the rest of the chapter。 This helped in building the intuition and useful to solidify those concepts。 This is a preliminary book and hence doesn't require much prerequisites。I would recommend this book to anyone who is interested in learning Linear Algebra。 Every chapter stats with a practical application of what is being discussed in the rest of the chapter。 This helped in building the intuition and useful to solidify those concepts。 This is a preliminary book and hence doesn't require much prerequisites。I would recommend this book to anyone who is interested in learning Linear Algebra。 。。。more
Hai Le
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An excellent book with very clear explanations and many concrete examples。 The content of the book focuses more on the conceptual than the computational side of linear algebra。 So in my opinion， it would make a great start for those who begin to learn linear algebra or want to refresh their understanding after a long time not using it。
Lecture Freed
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I dislike the way David C。 Lay approaches the subject of linear algebra。 The excessive formalism and overall lack of personality makes it hard for me as a reader to relate to the subject。
Jaslyn
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gr8 as intro material。
Kenta Suzuki
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Although I have not read cover to cover， this book contains good pictures（positive definite， negative definite， etc。）which are good for visual learner。 For visual leaner， I definitely recommend awesome videos about linear algebra by 3Blue1Brown ， https://www。youtube。com/watch？v=kjBOe。。。 。 Although I have not read cover to cover， this book contains good pictures（positive definite， negative definite， etc。）which are good for visual learner。 For visual leaner， I definitely recommend awesome videos about linear algebra by 3Blue1Brown ， https://www。youtube。com/watch？v=kjBOe。。。 。 。。。more
Farhad Da
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This book has several advantages that I like them。 -The good order of content， previous topics of a topic completely provide what you need to understand the topic deeply！-At the end of the chapter， there is an application section Which shows some interesting applications of what you just learned！-At the beginning of each chapter， there is an introduction of an important problem which can be solved with the content of the chapter， it's helpful and give a good glimpse about the chapter。-Good examp This book has several advantages that I like them。 -The good order of content， previous topics of a topic completely provide what you need to understand the topic deeply！-At the end of the chapter， there is an application section Which shows some interesting applications of what you just learned！-At the beginning of each chapter， there is an introduction of an important problem which can be solved with the content of the chapter， it's helpful and give a good glimpse about the chapter。-Good examples and exercises。I saw several Linear algebra books， this one is one of best。 。。。more
Irene
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I don't have a lot to say about this one， besides that I thought it was one of the best mathematics textbooks I have ever read。 The author treats you like you maybe aren't awesome at math， and maybe don't remember that thing you learned back in high school， but then proceeds to tell you it's okay and hey go read this （or explains it） if you don't remember。 I adore math， I don't adore taking classes in math as much because they take the fun out of learning， but this book made a horrible class （du I don't have a lot to say about this one， besides that I thought it was one of the best mathematics textbooks I have ever read。 The author treats you like you maybe aren't awesome at math， and maybe don't remember that thing you learned back in high school， but then proceeds to tell you it's okay and hey go read this （or explains it） if you don't remember。 I adore math， I don't adore taking classes in math as much because they take the fun out of learning， but this book made a horrible class （due to the professor and textbook choice） bearable and understandable。 I got the review guide and solutions manual to go with it and they were both excellent， study tips and hints about problem spots。 There was no "and the good student will be able to do the following example on their own so we will leave it to them" bull in this book like there was in the textbook assigned。 Some places could use a little work， but overall I the book was wonderfully conducive to trying to learn on your own。 。。。more
Mostafa Alkady
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Amazing！ One of the most joyful courses I've ever studied。 I finished almost 80% of the book and solved most of the exercises which were really fun to do。 The book is full of illustrations and figures。 Topics are linked to each other and a bit of MATLAB programming is introduced。 I highly recommend it to all people who have no prior knowledge of Linear Algebra and want to study from an easy book。 Amazing！ One of the most joyful courses I've ever studied。 I finished almost 80% of the book and solved most of the exercises which were really fun to do。 The book is full of illustrations and figures。 Topics are linked to each other and a bit of MATLAB programming is introduced。 I highly recommend it to all people who have no prior knowledge of Linear Algebra and want to study from an easy book。 。。。more
Simona
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Clear， helpful， well structured， good solutions manual。 Could have had more proofs in it though。
Andrew
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Disappointed my school sent me this unbound edition。 Might be a tough resale when my course is over。 As for the content， pretty standard Linear Algebra book。 No complaints。
Steve Alx
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The best introductory linear algebra book in the market。 It really paves the way for a more focused， poof-oriented study of linear algebra （Tom Apostol's Linear Algebra text）。 The book is very clear， well organized， and embodies only a very small handful of trivial typos。 It rivals MIT's Gilbert Strang's linear algebra text。 Strang's book is more for the applied mathematician。 The best introductory linear algebra book in the market。 It really paves the way for a more focused， poof-oriented study of linear algebra （Tom Apostol's Linear Algebra text）。 The book is very clear， well organized， and embodies only a very small handful of trivial typos。 It rivals MIT's Gilbert Strang's linear algebra text。 Strang's book is more for the applied mathematician。 。。。more
Bob
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