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, ...
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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 �cole Normale Sup�rieure de Lyon.
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Edition:
Softcover reprint of hardcover 2nd edition 2010
Publisher:
Springer-Verlag New York Inc.
Published:
2012
Language:
English
Alibris ID:
17849581216
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Seller's Description:
Paperback. NOT Ex-library. Good condition. Owners name on inside front cover but scratched out. Proceeds benefit the Pima County Public Library system, which serves Tucson and southern Arizona. Until further notice, USPS Priority Mail only reliable option for Hawaii.