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Introduction to Linear Algebra, Fourth Edition 4th Edition
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Top Customer Reviews
In choosing a book for my course, I reviewed more than a dozen choices. In what follows, I'll try to set out why, looking back on the first two-thirds of the semester, I'm firmly convinced that I chose the right book to teach from. But first, here's an excerpt from an e-mail I sent the author a few weeks ago:
I've admired your book ever since the first edition came out, but
in our department we have to wait in line to teach linear algebra,
and this is my first chance to teach from your book. It's hard to
put into words how much I'm enjoying it.
In 35 years, I've nearly always ended up feeling deeply disappointed
with almost any textbook I've tried to teach from. However I've
had the good fortune to find two books I really admire. Yours is
one of those two inspiring books. Thanks to you, I'm having a blast!
Enthusiasm aside, I'll start the substance of my review with four questions, aimed both at students and at teachers. These questions highlight the features I find inspiring - but they are not merely rhetorical: I've tried to formulate questions that should be helpful to anyone trying to decide whether Strang's Introduction to Linear Algebra is the right choice for them. In each instance, although my own answer is a resounding "Yes to choice one!Read more ›
This book was wonderful! I read nearly the entire thing over the course of a month (working a large number of the problems), and since then have referenced it often. The chapter on Eigenvalues, Linear Transformations, and Applications are extremely useful (in the 3rd edition 6,7, and 8). Strang's style is refreshing in the world of dry math books; he really gives you the intuition and excitement behind the math. I find this invaluable as an engineer.
There is a downside to this: the book is wordy for a math book and the key results scattered throughout the text. For this reason I would highly recommend this book for someone without much background in linear algebra, but probably would not recommend it to someone looking for a refresher--a more succinct book would probably be more appropriate. I would also not recommend this book for someone interested in formal mathematics: the book claims informality, and it certainly is informal. That being said, most of the essential proofs are there in spirt, just not set down formally like many other math texts I have used.
I gave the book 5 stars because, although it isn't for everybody (no book can be), it is exactly what it claims to be: an INTRODUCTION to linear algebra, and an excellent one at that.
with lecture notes, assignments and of course the video lectures. When I you look at all the "value added" textbooks with CD's full of unhelpful material that takes more time to use than the benefit it gives, compare it to the pairing of this book with the online material, which together make a great learning experience.
1.The coverage of the four fundamental spaces is fantastic. The pictures showing their dimension, orthogonality etc is very very good and easy to remember. And the importance of the understanding of this topic can not be over emphasized. Prof Strang did an excellent job here.
2.The on-line lectures are excellent. Well at least for most of them.
The SVD part is not excellent. Prof. Strang agrees that this is the climax of linear algebra. But the presentation of this critical topic is not excellent. The link between the four fundamental spaces and SVD is not so clear. And the related pseudo-inverse is also not so excellent. Unfortunately, the video on SVD also suffers from the same problem. But I would not blame too much on the video. After all, I am not sure if an excellent coverage of SVD can be given within one lecture. But the book should have plenty of space for a good coverage.
For a good SVD coverage, I found the following is good.
1) A good understanding of the four fundamental spaces is very important. Prof. Strang does an excellent job in his book.
2) Some internet articles actually provide good introduction, better than those provided in books
3) An article on-line by Dan Kalman is very comprehensive but not the first thing you should read.
4) Trefethen in his Numerical Linear Algebra has some good (but not complete) description.
Most Recent Customer Reviews
As a student trying to learn linear algebra, this book is not easy to follow. The language of the sections assumes prior knowledge of linear algebra topics, or so I assumed, until... Read morePublished 8 days ago by B.W. White
A really amazing book to study the fundamentals of linear algebra. Clear, brilliant, excellent for self study. Prof. Read morePublished 22 days ago by Rosana
I had to suffer Anton's elementary linear algebra for a semester- and I had in the back of my mind I wanted to try Prof Strang's lectures on the MIT youtube channel. Read morePublished 2 months ago by Lady Nigella
I can't even understand what the problems are asking 75% of the time and just resort to looking at the solutions manual to make sense of them. Not the best way to learn. Read morePublished 3 months ago by Amazon Customer
Excellent book. Well written. Bought it based on a lot of people's reviewPublished 4 months ago by Amazon Customer
This book has only intuitive explanations and examples.
There are no formal axioms, theorems, proofs. Read more