 | By: Seymour Lipschutz Marc Lipson Binding: Paperback Publisher: Schaum's Outlines ISBN: 0071362002 ISBN-13: 9780071362009 Released: 01 Dec 2000 RRP: Average Rating:  |
The book starts with some basic definitions of vector spaces (including the 8 axioms you'll need come exam time) & everything else develops from here. The sections on eigenvalues & 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, & geometric treatment of such abstract concepts as kernel, image & 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 & not have a clue how to apply it.
The other Schaum Outlines are also recommended, particularly the Differential Equations.
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