Linear Algebra with Applications: .

by Gareth Williams

Linear Algebra with Applications, Sixth Edition is designed for the introductory course in linear algebra typically offered at the sophomore level. The new Sixth Edition is reorganized and arranged into three important parts. Part 1 introduces the basics, presenting the systems of linear equations, vectors in Rn, matrices, linear transformations, and determinants. Part 2 builds on this material to discuss general vector spaces, such as spaces of matrices and functions. Part 3 completes the course with many of the important ideas and methods in Numerical Linear Algebra, such as ill-conditioning, pivoting, and the LU decomposition. New applications include the role of linear algebra in the operation of the search engine Google and the global structure of the worldwide air transportation network have been added as a means of presenting real-world scenarios of the many functions of linear algebra in modern technology. Clear, Concise, Comprehensive - Linear Algebra with Applications, Sixth Edition continues to educate and enlighten students, providing a broad exposure to the many facets of the field.

Genres: Mathematics, Textbooks

544 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.