COURSE IN LINEAR ALGEBRA WITH APPLICATIONS, A (2ND EDITION) - Softcover

Robinson, Derek J S

9789812700247: COURSE IN LINEAR ALGEBRA WITH APPLICATIONS, A (2ND EDITION)

Softcover

ISBN 10: 9812700242 ISBN 13: 9789812700247

Publisher: World Scientific Publishing Company, 2006

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This is the second edition of the best-selling introduction to linear algebra. Presupposing no knowledge beyond calculus, it provides a thorough treatment of all the basic concepts, such as vector space, linear transformation and inner product. The concept of a quotient space is introduced and related to solutions of linear system of equations, and a simplified treatment of Jordan normal form is given.Numerous applications of linear algebra are described, including systems of linear recurrence relations, systems of linear differential equations, Markov processes, and the Method of Least Squares. An entirely new chapter on linear programing introduces the reader to the simplex algorithm with emphasis on understanding the theory behind it.The book is addressed to students who wish to learn linear algebra, as well as to professionals who need to use the methods of the subject in their own fields.

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About the Author

Derek J S Robinson received his PhD degree from Cambridge University. He has held positions at the University of London, the National University of Singapore and the University of Illinois at Urbana-Champaign, where he is currently Professor of Mathematics. He is the author of five books and numerous research articles on the theory of groups and other branches of algebra.

Review

"There are useful discussions of two nonstandard topics which caught my eye, the method of least squares and Markov processes, consistent with the author's concern for the applications and the expected readership, which render the text useful for business, economics and social science students as well as those in physical sciences and engineering ... the book has great value for self study as well as adoption as a classroom text ... By all means adopt Robinson's text and enjoy spreading the gospel of linear algebra." Frank B Cannonito University of California, Irvine "... it is very carefully written, both from the point of view of mathematical content and style, and readability ... It should therefore be very suitable as a course book as well as for self-tuition." Mathematics Abstracts, Germany

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