Linear Algebra: An Introductory Approach (Undergraduate Texts in Mathematics)

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Product Description

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.

Linear Algebra: An Introductory Approach (Undergraduate Texts in Mathematics) Review

This book treats linear algebra in the way it should be - fairly theoretical, but without sacrificing the physical meanings behind. Its special attentions on topics such as Jordan canonical form, orthogonal transformation, symmetry groups, etc., are quite successful in bringing out the importance of linear algebra in other areas of mathematics. Yet, it does not cover sufficient materials for matrices over the complex field, possibly due to a restricted introductory scope for this book.

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