Schaum's Outline of Linear Algebra, 5th Edition: 612 Solved Problems + 25 Videos Paperback – 16 Dec 2012
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About the Author
Seymour Lipschutz is on the faculty of Temple University and formally taught at the Polytechnic Institute of Brooklyn. He is one of Schaum's major authors.
Marc Lipson is on the faculty of University of Georgia. He is also the coauthor of Schaum's Outline of Discrete Mathematics and Schaum's Outline of Probability with Seymour Lipschutz.
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Top customer reviews
The book starts with some basic definitions of vector spaces (including the 8 axioms you'll need come exam time) and everything else develops from here. The sections on eigenvalues and diagonalization of matrices are of remarkable clarity (including the sometimes annoying "change of basis"). Also covered are the complex numbers (and complex matrices, with Mobius transforms as well), representation of linear maps by matrices, and geometric treatment of such abstract concepts as kernel, image and rank. There is also a brief introduction to some basic tensors (Kronnecker delta etc.)
The main reason I like this book so much is the hundreds (568 I believe) of worked examples. These alone are enough reason to buy this book, because I suspect many undergraduates (like me) will hate to see a method sitting in their notes and not have a clue how to apply it.
The other Schaum Outlines are also recommended, particularly the Differential Equations.
I recently took my 1st year undergraduate exams for a Mathematics degree, Linear Algebra being one of them.
I don't like to talk wet about people in mediums unassociated to them, but the lecturer for this subject was below par. With a pathetic understanding of the subject, and a poor collection of subject materials to fall back on, I was left with this textbook as a means of learning the subject (I daren't call it revision!). Long story short, the book did not fail me in the slightest.
I would recommend this to anyone who is studying Linear Algebra in any shape or form, as it actually went into more depth than my course required, and as such will give you a deeper understanding that can be applied with great success.
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