ENGLISH

Matrices: Theory and applications

By Denis Serre (auth.)

Book information

Publisher
Springer-Verlag New York
Year
2010
ISBN
1441976825, 9781441976826
DOI
10.1007/978-1-4419-7683-3
Language
english
Format
PDF
Filesize
4 MB (4548752 bytes)
Series
Graduate Texts in Mathematics 216
Edition
2
Pages
289\304
Library
Kolxo3
Time added
2011-07-22 07:35:22
Lie Groups; Operator TheoryLinear and Multilinear AlgebrasMatrix Theory; Numerical Analysis; Topological Gro

Description

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 École Normale Supérieure de Lyon.

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