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Item Details
Title: MATRICES
THEORY AND APPLICATIONS
By: Denis Serre
Format: Paperback

List price: £53.99


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ISBN 10: 1461427231
ISBN 13: 9781461427230
Publisher: SPRINGER-VERLAG NEW YORK INC.
Pub. date: 25 December, 2012
Edition: Softcover reprint of hardcover 2nd ed. 2010
Series: Graduate Texts in Mathematics 216
Pages: 289
Description: This book is a clean and concise introduction to the basic theory of matrices. It also contains many interesting applications of matrices to different aspects of mathematics and also other areas of science and engineering. With forty percent new material, this second edition is significantly different from the first edition. The book mixes together algebra, analysis, complexity theory and numerical analysis. As such, this book will provide many scientists, not just mathematicians, with a useful and reliable reference. It is intended for advanced undergraduate and graduate students with either applied or theoretical goals. This book is based on a course given by the author at the Ecole Normale Superieure de Lyon.
Synopsis: In this book, Denis Serre begins by providing a clean and concise introduction to the basic theory of matrices. He then goes on to give many interesting applications of matrices to different aspects of mathematics and also other areas of science and engineering. With forty percent new material, this second edition is significantly different from the first edition. Newly added topics include: * Dunford decomposition, * tensor and exterior calculus, polynomial identities, * regularity of eigenvalues for complex matrices, * functional calculus and the Dunford-Taylor formula, * numerical range, * Weyl's and von Neumann's inequalities, and * Jacobi method with random choice. The book mixes together algebra, analysis, complexity theory and numerical analysis. As such, this book will provide many scientists, not just mathematicians, with a useful and reliable reference. It is intended for advanced undergraduate and graduate students with either applied or theoretical goals. This book is based on a course given by the author at the Ecole Normale Superieure de Lyon.
Illustrations: biography
Publication: US
Imprint: Springer-Verlag New York Inc.
Returns: Returnable
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