Matrices and Linear Transformations: Second Edition (Dover Books on Mathematics)

Book Details

• Publisher: Dover

• Author: Charles G. Cullen

• Language: English

• Edition: 2nd Revised edition

• ISBN: 9780486663289

• Pages: 336

• Cover: Paperback

• Dimensions: 8.5 x 5.4 x 0.7 inches

About The Book

Charles G. Cullen's Introduction to Linear Algebra and Matrix Theory offers a comprehensive and accessible introduction to linear algebra, designed for sophomore- and junior-level undergraduates in mathematics, engineering, and the physical sciences. This second revised edition is highly regarded as a smooth, in-depth treatment of matrix theory, with a focus on matrices over an arbitrary field. It’s praised by Electronic Engineer's Design Magazine as an excellent textbook for its clarity and structure.

The book covers essential topics such as matrices and linear systems, vector spaces, determinants, linear transformations, similarity, polynomials and polynomial matrices, matrix analysis, and numerical methods. The first seven chapters require only a basic understanding of calculus and analytic geometry, making it approachable for beginners. Later chapters delve into more advanced topics like matrix analysis and numerical linear algebra, ideal for students who have completed courses in calculus and differential equations.

Cullen’s work includes over 375 problems, many with answers, to reinforce understanding and encourage independent problem-solving. The inclusion of key concepts like spectral decomposition, the Jordan canonical form, and the solution of matrix equations provides a thorough grounding in linear algebra, making this book a vital resource for anyone aiming to master the subject.