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I think the book you're talking about is Axler's "Linear Algebra Done Right." I worked through the problems in this book with some friends, and it is a very goo
by begriffs 9y ago
I think the book you're talking about is Axler's "Linear Algebra Done Right." I worked through the problems in this book with some friends, and it is a very good presentation.
After doing that book I wanted to see what other books were out there, which ones were the good ones, and sort of classify them. I came up with this list: https://begriffs.com/posts/2016-07-24-best-linear-algebra-books.html https://begriffs.com/posts/2016-07-24-best-linear-algebra-bo...
I classify the books as Generalist (like Axler's), Theoretical (starting from e.g. modules rather than vector spaces), Numerical (matrix normal forms and algorithms), Practice (books full of problems), and a few other categories.
- linkmotif 9y agoAweomse. Thank you. Jealous of you and your friends. Wish I had a Pythagorean squad :)
- wolfgke 9y ago> After doing that book I wanted to see what other books were out there, which ones were the good ones, and sort of classify them. I came up with this list: https://begriffs.com/posts/2016-07-24-best-linear-algebra-books.html https://begriffs.com/posts/2016-07-24-best-linear-algebra-bo... Ironically you put "Jänich, K. (1994). Linear algebra. New York: Springer-Verlag." into the "Theoretical" section: In Germany this book (its German original) is not that well-regarded, since it is considered as far to shallow. Much better (and more hard to read) German textbooks are Gerd Fischer - Lineare Algebra: Eine Einführung für Studienanfänger (Linear Algebra: An Introduction for freshmen) Siegfried Bosch - Lineare Algebra (and its companion book: Siegfried Bosch - Algebra)
- begriffs 9y agoYou're right, I made a mistake. Just reviewed the table of contents on Amazon and it looks pretty short, and not particularly theoretical. Also poorly reviewed. I don't remember how it got on my list but I'm removing it.
- sn9 9y agoI've heard Shilov's text described as a great complement to Axler's.