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Linear Algebra and Its Applications, 4th Edition 4th Edition

4.2 4.2 out of 5 stars 100 ratings

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Renowned professor and author Gilbert Strang demonstrates that linear algebra is a fascinating subject by showing both its beauty and value. While the mathematics is there, the effort is not all concentrated on proofs. Strang's emphasis is on understanding. He explains concepts, rather than deduces. This book is written in an informal and personal style and teaches real mathematics. The gears change in Chapter 2 as students reach the introduction of vector spaces. Throughout the book, the theory is motivated and reinforced by genuine applications, allowing pure mathematicians to teach applied mathematics.
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Editorial Reviews

About the Author

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.

Product details

  • Publisher ‏ : ‎ Cengage Learning; 4th edition (January 1, 2006)
  • Language ‏ : ‎ English
  • Hardcover ‏ : ‎ 487 pages
  • ISBN-10 ‏ : ‎ 0030105676
  • ISBN-13 ‏ : ‎ 978-0030105678
  • Item Weight ‏ : ‎ 1.99 pounds
  • Dimensions ‏ : ‎ 1 x 7.25 x 9.25 inches
  • Customer Reviews:
    4.2 4.2 out of 5 stars 100 ratings

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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

4.2 out of 5 stars
4.2 out of 5
100 global ratings
Kindle Edition: no Math Formatting
2 Stars
Kindle Edition: no Math Formatting
Unfortunately, the Kindle Edition isn't easily usable due to the lack of formatting for the vectors and matrices, which, for a book on Linear Algebra, is disappointing. I was looking forward to use the 4th Edition of this book to go along with Mr. Strang's course available on MIT OpenCourseWare, but I will have to look elsewhere - the content itself came highly recommended, and I'm sure it's a solid book otherwise.
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Top reviews from the United States

Reviewed in the United States on October 4, 2023
Strang can teach math to anybody!
Reviewed in the United States on July 8, 2015
Context: The use of this book is paralleling a graduate level course for linear algebra having taken an undergraduate course in the same (8 years ago).

Quick tips if you're debating this book:
- This is not a good book for a first course in linear algebra. You should be strong in matrix operations and understand functions such as traces, determinants, inverses, etc. The first chapter isn't going to walk you through it.
- If this is for a course and you're contemplating an international edition, note the questions at the end of each section are mixed up. This could mess you up with homework from the book.

There are 5 star reviews out there that provide a good picture of what you can get out of the book. While I agree with those, as mentioned earlier, this is not a first course in linear algebra. Even having taken a course years ago I keep my initial course book with me to help through this book. There is an extensive use of formula instruction and variable based proofs, but when getting to quantitative examples it is rather fast paced jumping over steps.
Publishing material of the book is solid, with a heavy cover and pages. Text is easily legible and thus far I haven't noticed typos enough to distract me.
36 people found this helpful
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Reviewed in the United States on December 27, 2020
This is an amazing book. I used this book in order to study for my second linear algebra course and it was a big help. Linear algebra can be a complex and daunting subject but Strang does a great job of making all the content relevant and interesting. The level of detail and clear explanations from Strang are just amazing and I would recommend the book to any college student curious about diving into the field of linear algebra.
Reviewed in the United States on November 10, 2012
If you are taking Lin Alg then you have heard of Strang. This is his more advanced book on the topic and it is the be all end all of the topic. I have taken a couple grad courses that did not use this book but the instructor instead wanted to use an obscure text written by someone they knew. I bought this book and used it as a resource for both and it was worth every penny. Things i needed for the other courses were explained well and things that were not necessary were written in an interesting manner and i learned them on my own. I would love to have had him as my adviser or someone to just sit and have coffee with every morning and discuss math.
6 people found this helpful
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Reviewed in the United States on December 31, 2011
The book was okay, but I cannot recommend it to anyone. Strang, the author, does not explain the topics too well. This book is definitely not, in my opinion, a book for beginners or people just being exposed, for the first time, to linear algebra.

Apparently, everyone who took linear algebra at my university last semester agreed. My school offered two sections of the class last semester with both professors using the same book. Next semester, based on student feedback, both professors unanimously agreed to switch to another book.

The worked-out examples are very few in number and do not cover the topics gone over in the problems at the end of each section in the book. In my previous calculus books, if I had trouble on a problem, I could go back to a specific section in the chapter and read why a certain answer was the answer. In this book, despite the claims that linear algebra is a well understood mathematical discipline, it was nearly impossible to find a good explanation as to why a certain answer was a good answer.

There is another thing. Strang would often put problems on a certain topic in, say chapter one and not officially go over that topic in, say, chapter three. In my opinion, that is such a bad way to introduce a topic to a beginner and quite the turnoff.

For the most part, the online video lectures do help in further explaining the topics gone over in the book. But, the online video lectures are from Spring 1999 and a different book, so the material is a little dated but easy to follow.

Unless your professor knows exactly what he is talking about, I would recommend finding another supplementary text to better understand the topics gone over in this book. This book was definitely not worth the $170 I paid for it.
15 people found this helpful
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Reviewed in the United States on January 25, 2021
Amazon college text rental makes the start of every new semester a breeze! No more choking on textbook prices. Quality always excellent. Quick and timely arrival. Returns so simple I leave it to my student to take care.

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Amazon Customer
5.0 out of 5 stars Nullspace
Reviewed in Canada on December 17, 2017
Some minor issues in the textbook but a great tool but beginners and even for more advanced students
Marcello Perathoner
5.0 out of 5 stars Für Anwender
Reviewed in Germany on November 2, 2018
Wenn man Lineare Algebra lernt um sie anzuwenden, und nicht um Mathematik zu studieren, dann ist dieses Buch das richtige.

Die anderen Authoren, die ich gelesen habe, hangeln sich von Theorem zu Beweis und würden lieber tot umfallen als ein Beispiel oder eine Anwendung für den Stoff zu bringen. (z.B. Halmos, Perlis, Axler.)

Dieses Buch ist anders, da es erläutert, wozu man den Stoff überhaupt braucht. Am Schluß der meisten Kapitel wird eine praktische Anwendung vorgestellt und durchgerechnet. Zum Beispiel beginnt das Kapitel über Eigenwerte und Eigenvektoren mit dem Hinweis, daß man damit Systeme von Differentialgleichnungen lösen kann. Diesen Hinweis habe ich in keinem der anderen Bücher gefunden.

Das Buch ist zum Selbststudium gut geeignet. Es enthält viele Aufgaben. Zur Hälfte der Aufgaben befindet sich im Anhang eine Lösung. Ich habe mir gleich ein zweites Buch dieses Authors gekauft.
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nh
5.0 out of 5 stars Masterpiece
Reviewed in Germany on April 13, 2022
Prof. Strange breaks LA down to its core and makes it easy to understand.

I use this book not only for my classes, but also quite often as a source along my research.
Hartmut Wolf
1.0 out of 5 stars Kindle-Ausgabe unbrauchbar!
Reviewed in Germany on October 7, 2020
Da hat jemand bei der Konversion ins Kindle-Format Mist gebaut ... und sich noch nicht mal angesehen, was er denn da fabriziert hat!
Schauen Sie die Vorschau im Kindle-Format an! (Vorschau für die gedruckte Version ist nicht verfügbar). Wie sowas durch die Qualitätssicherung kommen kann ist ein Rätsel.