Linear Algebra: An Introductory Approach

by Charles W. Curtis

This revised and updated fourth edition designed for upper division courses in linear algebra includes the basic results on vector spaces over fields, determinants, the theory of a single linear transformation, and inner product spaces. While it does not presuppose an earlier course, many connections between linear algebra and calculus are worked into the discussion. A special feature is the inclusion of sections devoted to applications of linear algebra, which can either be part of a course, or used for independent study, and new to this edition is a section on analytic methods in matrix theory, with applications to Markov chains in probability theory. Proofs of all the main theorems are included, and are presented on an equal footing with methods for solving numerical problems. Worked examples are integrated into almost every section, to bring out the meaning of the theorems, and illustrate techniques for solving problems. Many numerical exercises make use of all the ideas, and develop computational skills, while exercises of a theoretical nature provide opportunities for students to discover for themselves.

Genres: Mathematics, Textbooks

360 pages, Hardcover

First published November 30, 1983

Reviews

[Hannah Thomas · Rating 4 out of 5]

This was more of an approach in mathematics. Those in the field of computer science or physics could see this of interest. There are some chapters/parts in this book that feels like it shouldn't be a part of the linear algebra topic (really a different subject of math). There are some typos in the book which does make this a little hard to understand in some areas.