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Introduction to Linear Algebra (Gilbert Strang, 5) 6th Edition


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Linear algebra now rivals or surpasses calculus in importance for people working in quantitative fields of all kinds: 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 data: 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.
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Editorial Reviews

Review

The sixth edition of Strang's phenomenally popular textbook features a more active start and new chapters on optimization and learning from data. --Book Description

The sixth edition of Strang's phenomenally popular textbook features a more active start and new chapters on optimization and learning from data. --Book Description

The sixth edition of Strang's phenomenally popular textbook features a more active start and new chapters on optimization and learning from data. --Book Description

Book Description

The sixth edition of Strang's phenomenally popular textbook features a more active start and new chapters on optimization and learning from data.

Product details

  • Publisher ‏ : ‎ Wellesley-Cambridge Press; 6th edition (April 30, 2023)
  • Language ‏ : ‎ English
  • Hardcover ‏ : ‎ 440 pages
  • ISBN-10 ‏ : ‎ 1733146679
  • ISBN-13 ‏ : ‎ 978-1733146678
  • Item Weight ‏ : ‎ 2.07 pounds
  • Dimensions ‏ : ‎ 7.25 x 1 x 9.25 inches
  • Customer Reviews:

About the author

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Gilbert Strang
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Gilbert Strang is Professor of Mathematics at the Massachusetts Institute of Technology and an Honorary Fellow of Balliol College. He was an undergraduate at MIT and a Rhodes Scholar at Oxford. His doctorate was from UCLA and since then he has taught at MIT. He has been a Sloan Fellow and a Fairchild Scholar and is a Fellow of the American Academy of Arts and Sciences. Professor Strang has published a monograph with George Fix, "An Analysis of the Finite Element Method", and has authored six widely used textbooks. He served as President of SIAM during 1999 and 2000 and he is Chair of the U.S. National Committee on Mathematics for 2003-2004.

Customer reviews

4.4 out of 5 stars
4.4 out of 5
83 global ratings
fast delivery
4 Stars
fast delivery
Considered a very fast delivery time for intercontinental shipping, it only took 3 days instead of 1 week. Overall, the product is good enough. It was a hardcover book with a dent on the top cover.PS. The book is much thinner than the fifth edition.
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Top reviews from the United States

Reviewed in the United States on July 6, 2023
Comprehensive college level text for those interested linear algebra. Author is probably the foremost expert in this field with over 60 years of teaching experience at MIT. Following along the course matter with his U Tube lectures is a must!
4 people found this helpful
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Reviewed in the United States on June 19, 2023
The author has been a beloved and effective professor at MIT for a long time. His insights are inherently valuable from every point of view. Linear Algebra is of indispensable importance, not only for people wishing to understand calculus of several variables, but for many important courses and extensive business applications. Peter Lax has a great textbook, highly to be recommended. It's my personal favorite. Kunze and Hoffman is a very solid book. A new student might find Prof. Strang's book a little easier than either, without sacrificing correctness. Axler's book has grown very popular, and there is nothing wrong with it. If I were choosing a text for a truly hard core technical audience, I'd use Lax. If I wanted to serve a wider audience, I would use Strang. I would not have left a review, except there were none when I saw the page.
20 people found this helpful
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Reviewed in the United States on June 29, 2023
The media could not be loaded.
 Considered a very fast delivery time for intercontinental shipping, it only took 3 days instead of 1 week. Overall, the product is good enough. It was a hardcover book with a dent on the top cover.

PS. The book is much thinner than the fifth edition.
Customer image
4.0 out of 5 stars fast delivery
Reviewed in the United States on June 29, 2023
Considered a very fast delivery time for intercontinental shipping, it only took 3 days instead of 1 week. Overall, the product is good enough. It was a hardcover book with a dent on the top cover.

PS. The book is much thinner than the fifth edition.
Images in this review
Customer image Customer image Customer image
Customer imageCustomer imageCustomer image
Reviewed in the United States on February 12, 2024
This book is completely useless without prior knowledge of linear algebra, and even then it's borderline incomprehensible. The image attached I think perfectly encapsulates this: it's literally the first paragraph of the first section of the book, and it's supposed to explain vectors, and yet doesn't define them of justify them, just jumps into an application (that he also doesn't define or justify).

Strang spends most of the book rambling incoherently about matrix operations he doesn't introduce until several chapters later while failing to explain or even justify the core concepts he claims to be discussing in each section. I have taken many advanced college-level math classes, including linear algebra, in the past, and this book feels like it is un-teaching me linear algebra; I often spend an hour or two reading through a chapter feeling deeply confused and lost, only to look up the topic on wikipedia and figure it out within minutes.

I'm a high school math teacher (who, again, has already learned linear algebra) teaching an advanced math class for seniors, and bought this book to refresh my memory and to us as an established structure for teaching the material. The book has failed to provide any real value on both counts.
Customer image
1.0 out of 5 stars Borderline Incomprehensible
Reviewed in the United States on February 12, 2024
This book is completely useless without prior knowledge of linear algebra, and even then it's borderline incomprehensible. The image attached I think perfectly encapsulates this: it's literally the first paragraph of the first section of the book, and it's supposed to explain vectors, and yet doesn't define them of justify them, just jumps into an application (that he also doesn't define or justify).

Strang spends most of the book rambling incoherently about matrix operations he doesn't introduce until several chapters later while failing to explain or even justify the core concepts he claims to be discussing in each section. I have taken many advanced college-level math classes, including linear algebra, in the past, and this book feels like it is un-teaching me linear algebra; I often spend an hour or two reading through a chapter feeling deeply confused and lost, only to look up the topic on wikipedia and figure it out within minutes.

I'm a high school math teacher (who, again, has already learned linear algebra) teaching an advanced math class for seniors, and bought this book to refresh my memory and to us as an established structure for teaching the material. The book has failed to provide any real value on both counts.
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2 people found this helpful
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Reviewed in the United States on October 3, 2023
From a math standpoint it's solid. But from an English perspective it's lacking.

The forward alone reads like an Adderalled up TA wrote it.

He really doesn't hesitate to jump in which is nice but the book doesn't feel very linear in progression.
6 people found this helpful
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Top reviews from other countries

Barbara Ulitsky
5.0 out of 5 stars My favourite Linear Algebra book!
Reviewed in Canada on September 18, 2023
This is a wonderful book! It's fun and easy to read, even better when accompanied by Prof. Strang's lectures on MOOC MIT18.06. There are lots of exercises ranging in difficulty from applying what was just taught to deep thinking.
Amazon Customer
4.0 out of 5 stars Great book - abysmal delivery
Reviewed in the United Kingdom on December 27, 2023
A classic of Linear Algebra, really well explained and layed out. Sadly I only got it because a kind postman picked it up from the top of a bin in the next street where the Amazon delivery driver left it. I recommend the book, but I hope you have better luck than me with the delivery!
Sayan Bhowmick
5.0 out of 5 stars Best book to learn linear algebra
Reviewed in India on October 1, 2023
Hardcover book with all the knowledge, i would say the price is a bit high, i got it for 1000 rupees in India but the book is the best book to learn linear algebra & in 6th edition they have added some stuffs which are related to machine learning such as tensors so yeah.
I had a 4th edition but still I bought it cause this book has everything a person needs to learn linear algebra & also how to use your knowledge in machine learning

The book has 440 pages which is less than the 5th edition (600 pages) that is because some contents are shifted to online website & the link is given inside the book so students are all set

If you want the latest things then go for this edition & if you don't want latest info & also don't wanna go to some website to check 3 to 4 topics then go for the 5th edition

But i personally would prefer 6th edition cause this contains all the latest info & also latest is always better to have

Worth for money & highly recommended to students who wanna learn linear algebra & machine learning
Customer image
Sayan Bhowmick
5.0 out of 5 stars Best book to learn linear algebra
Reviewed in India on October 1, 2023
Hardcover book with all the knowledge, i would say the price is a bit high, i got it for 1000 rupees in India but the book is the best book to learn linear algebra & in 6th edition they have added some stuffs which are related to machine learning such as tensors so yeah.
I had a 4th edition but still I bought it cause this book has everything a person needs to learn linear algebra & also how to use your knowledge in machine learning

The book has 440 pages which is less than the 5th edition (600 pages) that is because some contents are shifted to online website & the link is given inside the book so students are all set

If you want the latest things then go for this edition & if you don't want latest info & also don't wanna go to some website to check 3 to 4 topics then go for the 5th edition

But i personally would prefer 6th edition cause this contains all the latest info & also latest is always better to have

Worth for money & highly recommended to students who wanna learn linear algebra & machine learning
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3 people found this helpful
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Amazon Customer
1.0 out of 5 stars Received a damaged product.
Reviewed in India on April 17, 2024
I ordered a Hardcover, but the shipping services are of such bad quality that they damaged even the hardcover. I was thinking that if I had ordered the paperback edition, what would they have done with it….
S Inversion
1.0 out of 5 stars Mixed feelings about the pedagogy
Reviewed in India on April 6, 2024
I don’t exactly feel great about this book and maybe it’s just because its pedagogy doesn’t match my style of learning. If you're using the accompanying online lectures it might be fine but as a standalone book it's just awful. I dropped a lot of money on getting the hardback thinking that it's going to be great, but was completely disappointed.