Introduction to Linear Algebra
- Downloads：2039
- Type：Epub+TxT+PDF+Mobi
- Create Date：2023-04-09 09:19:57
- Update Date：2025-09-06
- Status：finish
- Author：Gilbert Strang
- ISBN：1733146679
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Summary
Linear algebra now rivals or surpasses calculus in importance for people working in quantitative fields of all engineers， scientists， economists and business people。 Gilbert Strang has taught linear algebra at MIT for more than 50 years and the course he developed has become a model for teaching around the world。 His video lectures on MIT OpenCourseWare have been viewed over ten million times and his twelve textbooks are popular with readers worldwide。 This sixth edition of Professor Strang's most popular book， Introduction to Linear Algebra， introduces the ideas of independent columns and the rank and column space of a matrix early on for a more active start。 Then the book moves directly to the classical topics of linear equations， fundamental subspaces， least squares， eigenvalues and singular values – in each case expressing the key idea as a matrix factorization。 The final chapters of this edition treat optimization and learning from the most active application of linear algebra today。 Everything is explained thoroughly in Professor Strang's characteristic clear style。 It is sure to delight and inspire the delight and inspire the next generation of learners。
Reviews
Oleksandr Tarnavskyi
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Fascinating book。 Gives strong intuition about key linear algebra topics and applications， especially combined with video lectures from MIT Courceware by professor Strang。 I finished after Quiz 2 of the course， might return later if needed。
Bridream
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clear and thorough。
boots eats foot except on holidays
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i read this and high school so a flex and slayyy
Dawid
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przeczytałem w pierwszym semestrze razem z jego wykładami， Gilbert Strang to jest jeden z tych nauczycieli którzy przywracają wiarę i chęć do nauki
Hung Tran
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Read this gem once and will use it for linear algebra revision in the future。 The linear algebra concept in this book is taught from the geometry perspective， which make it easier to read and follow。 Practical applications in daily life are also provided to make the equations more accessible。 Exercises help consolidate the concept and are worth doing。 Overall， this is the best algebra book for self-studying。 I recommend reading this book while taking the free course of Prof Strang on MIT OpenCou Read this gem once and will use it for linear algebra revision in the future。 The linear algebra concept in this book is taught from the geometry perspective， which make it easier to read and follow。 Practical applications in daily life are also provided to make the equations more accessible。 Exercises help consolidate the concept and are worth doing。 Overall， this is the best algebra book for self-studying。 I recommend reading this book while taking the free course of Prof Strang on MIT OpenCourseWare。 。。。more
Tom F
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Read alongside MIT 18。06 Linear Algebra course。 This book is the perfect companion， and solidifies the material covered in the lectures。 The lectures give you the big picture， a good overview。 This book then serves to reinforce your understanding of it。 I only read the parts of the book relevant to my studies so that's still about 80%。 My confidence and understanding of linear algebra is much better; the problem sets are really instructive and all solutions are given on the website。 I started th Read alongside MIT 18。06 Linear Algebra course。 This book is the perfect companion， and solidifies the material covered in the lectures。 The lectures give you the big picture， a good overview。 This book then serves to reinforce your understanding of it。 I only read the parts of the book relevant to my studies so that's still about 80%。 My confidence and understanding of linear algebra is much better; the problem sets are really instructive and all solutions are given on the website。 I started this book with the explicit goal of understanding Singular Value Decomposition from first principles， this was in order to augment my existing understanding of the statistical incarnation of SVD: the PCA。 There are few resources I can think of that are better at reaching this goal in such a short amount of time。 。。。more
Johannbke
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Completely awsome。 a little bit less on application and implementation， but this book is not intendeted to be that （so its more for pure math intereset people， but i think its not a mistake （as an becomming ingeneer） to read this）It gave me joy to work on linear algebra and was better than my teaching in University
Ruby Rice
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Amazing reference book to keep。 Theoretically sound and every linear algebra concepts explained beautifully by Professor Strang。
Kent
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I don't particularly hate or love this book。 It's just decent。 It's not what I would recommend， but it's still not that bad。 It also has a few chapters on applications to other fields if you're interested in that。 I don't particularly hate or love this book。 It's just decent。 It's not what I would recommend， but it's still not that bad。 It also has a few chapters on applications to other fields if you're interested in that。 。。。more
TJ
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Textbook on linear algebra。 Good practice problems， but needs to be supplemented。 Additionally this is only "hand-written" math。 Most linear algebra or mathematics in general are done on the computer and would have preferred a python code connection to matrix transformations， determinants etc。 Textbook on linear algebra。 Good practice problems， but needs to be supplemented。 Additionally this is only "hand-written" math。 Most linear algebra or mathematics in general are done on the computer and would have preferred a python code connection to matrix transformations， determinants etc。 。。。more
Đức Minh
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great
Kamal
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Too informalthe book is ok but it lacks formal and rigours proofs and details。it's suitable for using besides Gilbert Strang course at ocw。mit。edu but not suitable for self study as a stand alone book。 Too informalthe book is ok but it lacks formal and rigours proofs and details。it's suitable for using besides Gilbert Strang course at ocw。mit。edu but not suitable for self study as a stand alone book。 。。。more
Camila Burne
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Es el mejor libro de Algebra Lineal para todos los que nos aburre esta materia。 Además de que el libro es entretenido， con problemas sencillos que explican conceptos densos， hay un curso grabado que dio el mismo autor - Gilbert Strang - en MIT。 Recomiendo ver los videos a la par que el libro， es la única manera que encontré de estudiar Algebra y que no sea aburrido。 Videos: https://ocw。mit。edu/courses/mathemati。。。 Es el mejor libro de Algebra Lineal para todos los que nos aburre esta materia。 Además de que el libro es entretenido， con problemas sencillos que explican conceptos densos， hay un curso grabado que dio el mismo autor - Gilbert Strang - en MIT。 Recomiendo ver los videos a la par que el libro， es la única manera que encontré de estudiar Algebra y que no sea aburrido。 Videos: https://ocw。mit。edu/courses/mathemati。。。 。。。more
Bảo Dung
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Starting to follow machine learning field and some website recommended me to study Linear Algebra of Professor。 I have to say that his course on Youtube is the best course I've ever studied。 I enjoyed this book too。 This is the book for everyone， he explained everything so magically and perfectly， even for the one with least math background。 It's still worth it Starting to follow machine learning field and some website recommended me to study Linear Algebra of Professor。 I have to say that his course on Youtube is the best course I've ever studied。 I enjoyed this book too。 This is the book for everyone， he explained everything so magically and perfectly， even for the one with least math background。 It's still worth it 。。。more
Alvin
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This book making me so sad right now。
Paul Floyd
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Preferrd the youtube videos。 Still， not bad。
Henry Cooksley
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Useful as a reference， and for exercises， but I don't find the style easy to read！ If you have a strong aversion to the definition-theorem-proof style of most other mathematics books， then this book might work for you。 However， if you tend to prefer a more 'traditional' mathematical writing style then you may find the structuring of this book uncomfortable。The first two-thirds （or so） of the book are covered by MIT 18。06SC and the clean layout of each topic along with exercises and solutions may Useful as a reference， and for exercises， but I don't find the style easy to read！ If you have a strong aversion to the definition-theorem-proof style of most other mathematics books， then this book might work for you。 However， if you tend to prefer a more 'traditional' mathematical writing style then you may find the structuring of this book uncomfortable。The first two-thirds （or so） of the book are covered by MIT 18。06SC and the clean layout of each topic along with exercises and solutions may be easier for a learner new to this subject。 。。。more
Michael Forster
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For me this book was quite hard to read， because it is often mathematically imprecise。 Terms and concepts are used before they are fully introduced。 Understanding sentences requires that you have already built up some amount of intuition that you don't usually have when reading an introductory text book。While other math books often build on mathematical rigor alone and neglect building up the reader's intuition， this book neglects rigor in favor of a more intuitive approach。 For me this is reall For me this book was quite hard to read， because it is often mathematically imprecise。 Terms and concepts are used before they are fully introduced。 Understanding sentences requires that you have already built up some amount of intuition that you don't usually have when reading an introductory text book。While other math books often build on mathematical rigor alone and neglect building up the reader's intuition， this book neglects rigor in favor of a more intuitive approach。 For me this is really difficult to follow， because the exact meaning of sentences is often unclear。Ideally a book would have both rigor and intuition。 。。。more
Satyaki Upadhyay
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MIT OCWEssence of linear algebra MIT OCWEssence of linear algebra 。。。more
Mohtasim Hadi Hadi
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Read the book for academic purpass along with three other books on linear algebra。 And I must say linear algebra was the best mathematics course that I've ever had。 Thanks to this man， Gilbert Strang。 And I must suggest the MIT open course lectures on youtube。 Professor Strang himself took those classes。 Read the book for academic purpass along with three other books on linear algebra。 And I must say linear algebra was the best mathematics course that I've ever had。 Thanks to this man， Gilbert Strang。 And I must suggest the MIT open course lectures on youtube。 Professor Strang himself took those classes。 。。。more
Moeen Sahraei
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Strang has a unique way to represent linear algebra， it is confusing at first but you if you start connecting with the book you would absolutely love it。 Is you want to learn the concepts of this books totally， you have to learn calculus and basic trigonometry first。 Linear algebra is one of the most beautiful and useful subjects in mathematics。 I enjoyed reading this book very much
Lucas
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I teach applied sciences。An informal approach to linear algebra， useful for applied sciences。 If you've watched the lectures it's hard not to like this book but， objectively it appears that the information in the lectures has just been pointed at paper without regard to the fact that the ongoing narrative available in the lectures is missing from the print version。This leaves one having to piece things together oneself， not so much the linear algebra， but what one is supposed to be focusing on。 I teach applied sciences。An informal approach to linear algebra， useful for applied sciences。 If you've watched the lectures it's hard not to like this book but， objectively it appears that the information in the lectures has just been pointed at paper without regard to the fact that the ongoing narrative available in the lectures is missing from the print version。This leaves one having to piece things together oneself， not so much the linear algebra， but what one is supposed to be focusing on。 That happened to many times for me so fired up Jeff Holts book。Ron Larson， Kuldeep Singh are also with a look for beginners。Strang's book is a good reference but lacks cohesion for beginners or those who haven't seen his excellent lecture style。Strang is a star， but his book needs an editor！ 。。。more
Anthony
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It was all fairly clear。 I must admit I skipped some sections on solving differential equations and such。
Snorlax
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You have to watch the youtube MIT courses in order to make most sense of this book。 It's the best online course for linear algebra so far。You will find it's hard to grasp the materials by reading this book alone。 Thus minus one star because this book is not a stand alone textbook， more like a supplement for the online course。 You have to watch the youtube MIT courses in order to make most sense of this book。 It's the best online course for linear algebra so far。You will find it's hard to grasp the materials by reading this book alone。 Thus minus one star because this book is not a stand alone textbook， more like a supplement for the online course。 。。。more
Jefther Vieira
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Foi uma sorte e um achado ter tido esse encontro com Álgebra Linear através do professor Strang。 Recomendaria o curso como uma porta às matemáticas e - como diria Oswald Spengler se também ele conhecesse o papel da Álgebra Linear hoje - uma expressão representativa da civilização faustiana。 Pretendo continuar no assunto no livro "linear algebra and learning from data" do mesmo autor。 Foi uma sorte e um achado ter tido esse encontro com Álgebra Linear através do professor Strang。 Recomendaria o curso como uma porta às matemáticas e - como diria Oswald Spengler se também ele conhecesse o papel da Álgebra Linear hoje - uma expressão representativa da civilização faustiana。 Pretendo continuar no assunto no livro "linear algebra and learning from data" do mesmo autor。 。。。more
Tolga Karahan
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This review has been hidden because it contains spoilers。 To view it， click here。 It's a great book to level up your understanding about linear algebra from just multiplying rectangles with numbers in it to the meaning and geometry behind them。 I also recommend to follow Gilbert Strang's lectures too。 He is a great instructor and focuses on conveying the meaning with easy to understand examples。 It's not just an introductory book， it develops from first principles， but also has some advanced stuff and their applications in the end of the book。 It's the book that makes you to It's a great book to level up your understanding about linear algebra from just multiplying rectangles with numbers in it to the meaning and geometry behind them。 I also recommend to follow Gilbert Strang's lectures too。 He is a great instructor and focuses on conveying the meaning with easy to understand examples。 It's not just an introductory book， it develops from first principles， but also has some advanced stuff and their applications in the end of the book。 It's the book that makes you to understand Linear Algebra not only apply it and I think the best book in this regard。 。。。more
Kun Chen
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Not recommended。 The most tedious book I have ever read。
Myat Thu
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I found this as a reference book while I was studying Linear Algebra in 18。06 OCW。 Before Stang's book and his 18。06 class， all I know about Linear Algebra was some linear equations and some matrices。 But Stang showed the beautiful picture of Linear Algebra in this book。 Graphs and Networks， Systems of Differential Equations， Least Squares and Projections， and Fourier Series and the Fast Fourier Transform are mainly focused。 I found this as a reference book while I was studying Linear Algebra in 18。06 OCW。 Before Stang's book and his 18。06 class， all I know about Linear Algebra was some linear equations and some matrices。 But Stang showed the beautiful picture of Linear Algebra in this book。 Graphs and Networks， Systems of Differential Equations， Least Squares and Projections， and Fourier Series and the Fast Fourier Transform are mainly focused。 。。。more
Vishvas
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Read 288 pages。
Saurabh Jha
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I read the "South Asian" edition of this book。 I also used to watch Prof。 Strang's lectures from https://ocw。mit。edu/courses/mathemati。。。。The great thing about this book is Prof。 Strang provides intuition into a very abstract topic。 The way he did that is by using examples to illustrate the concepts。 Some concepts in particular， for example linear subspaces and least squares， are beautifully explained。I think the greatest thing I got from this book is this example based thinking to increase my i I read the "South Asian" edition of this book。 I also used to watch Prof。 Strang's lectures from https://ocw。mit。edu/courses/mathemati。。。。The great thing about this book is Prof。 Strang provides intuition into a very abstract topic。 The way he did that is by using examples to illustrate the concepts。 Some concepts in particular， for example linear subspaces and least squares， are beautifully explained。I think the greatest thing I got from this book is this example based thinking to increase my intuition into what would be very abstract topics。 Now， whenever I have difficulty understanding some idea or a problem， I draw an example。 Unfortunately， I think Prof。 Strang went too far with this approach and it failed for Eigenvalues and Eigenvectors。 There were two major problems。 One， he changed the viewpoint of a matrix multiplication suddenly and without warning， from the combination of vectors to an application of an operator。 Two， the theorems of eigenvalues and eigenvectors， which include some very important results for symmetric matrices， are proved in a very obscure way。 I was relieved after I finished that section because it was just painful to go through it。 The way I learned eigenvectors was to essentially reconstruct from the fragments in the book。Also， I feel that the book is not very clear by itself and is supposed to be used with lectures。 Prof。 Strang jumps right into the topic in nearly every section without any background or motivation。Overall， despite some shortcomings， I think this is a brilliant introduction to linear algebra。 Whether your motivation is to apply linear algebra to some problem or to go into more abstract parts， this book is a great starting point。 。。。more
tpg0
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As an AI language model， I do not have the capacity to give personal opinions or preferences regarding books。 However， "Introduction to Linear Algebra" by Gilbert Strang is a widely acclaimed textbook on the subject and is used as a standard textbook in many universities for introductory linear algebra courses。 It provides a comprehensive introduction to the theory and application of linear algebraic systems， including vector spaces， linear transformations， matrix algebra， eigenvectors and eigenvalues， and more advanced topics such as determinants， inner product spaces， and diagonalization。 The book is known for its clarity of exposition and accessibility to students with minimal background in mathematics， making it suitable for both undergraduate and graduate students。 Overall， it is a highly recommended book for anyone interested in learning about linear algebra。
tpg1
，
As an AI language model， I am not capable of providing personal opinions。 However， as an educational resource in the field of linear algebra， "Introduction to Linear Algebra" by Gilbert Strang is widely regarded as a classic introductory textbook。 It covers a broad range of topics in a clear and concise manner and is known for its extensive use of real-world applications。 Additionally， it includes a variety of exercises and examples that allow readers to develop a strong foundation in linear algebra。
tpg2
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As an AI language model， I can only provide an objective perspective and not share personal opinions。 However， Introduction to Linear Algebra is a widely recognized textbook that covers fundamental concepts related to linear algebra。 It presents a clear and accessible introduction to the subject for students， researchers， and professionals。 The book is well-structured， containing numerous exercises and examples that help readers learn and understand the subject matter。 Additionally， it includes numerous applications across various fields， making it a useful reference for learners who plan to apply the concepts of linear algebra in their work。
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