Linear Algebra with Applications

by Gareth Williams

Linear Algebra with Applications is a flexible blend of theory, important computational techniques, and interesting applications. Instructors can select the topics that give the course their desired perspective. The text provides a solid foundation in the mathematics of linear algebra, while introducing some of the important computational aspects of the field, such as algorithms. The presentation of interesting applications has been one of the most compelling features of this book provides students a well balanced coverage of standard linear algebra topics that apply mathematics by examining real-life applications, making for a enlightening learning experience.

Genres: Mathematics, Textbooks

647 pages, Hardcover

First published January 1, 1984

Reviews

[Barrett Barry · Rating 5 out of 5]

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 · Rating 3 out of 5]

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.