Linear Algebra with Applications: .

by Gareth Williams

After transitioning from solving systems of two linear equations to solving general systems, this textbook introduces the algebraic properties of matrix operations, determinants, vector spaces, eigenvalues, eigenvectors, linear transformations, inner product spaces, numerical techniques, and linear programming. The fifth edition adds sections on matrix multiplication in terms of columns, and orthogonal transformations. Annotation ©2004 Book News, Inc., Portland, OR (booknews.com)

Genres: Mathematics, Textbooks

674 pages, Hardcover

First published January 1, 1984

Reviews

[Barrett Barry]

This is great as an introduction to linear algebra or for someone who wants to know how to use linear algebra to solve practical problems. Every chapter ends with applications such as using markov chains to quantify population movements and genetics, google, weather prediction, cryptography (hamming codes), Quadratic forms (relativity) , difference equations, normal modes, economics, fractals, traffic flow, electrical networks. This is an essential book in my opinion.

[Teddy]

An interestingly formatted book- touches briefly on topics like linear independence, and determinants in the first couple of chapters, then re-covers them a few chapters later. Not as useful as just covering any given topic all at once, I think.

The problems were also not quite ideal- either too easy (trivial computations) or too difficult (abstract proofs). This book definitely works best if you've already had a proofs class.

That said, explanations of concepts were pretty clear, examples were useful, and the text was very readable. There were also optional sections on practical applications of linear algebra, which were neat to read

Overall, a good reference book and source for problems, but not what I'd choose for a primary text.