Matrices

Theory and Applications

(Autor)

Buch | Hardcover
243 Seiten
2002
Springer-Verlag New York Inc.
978-0-387-95460-8 (ISBN)

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Matrices - D Serre
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This book first provides a clean and concise introduction to the basic theory of matrices. It then goes on to give many interesting applications of matrices to different aspects of mathematics and also other areas of science and engineering. The book mixes together algebra, analysis, complexity theory, and numerical analysis.
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. 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.

Denis Serre is Professor of Mathematics at Ecole Normale Superieure de Lyon and a former member of the Institut Universaire de France. He is a member of numerous editorial boards and the author of "Systems of Conservation Laws" (Cambridge University Press 2000). The present book is a translation of the original French edition, "Les Matrices: Theorie et Pratique", published by Dunod (2001).

Elementary Theory.- Square Matrices.- Matrices with Real or Complex Entries.- Norms.- Non-negative Matrices.- Matrices with Entries in a Principal Domain.- Jordan's Reduction.- Exponential of a Matrix, Polar Decomposition and Classical Groups.- Matrix Factorizations.- Iterative Methods for Linear Problems.- Approximation of Eigenvalues.- Bibliography.- Index.- List of Symbols.

Erscheint lt. Verlag 21.8.2002
Reihe/Serie Graduate Texts in Mathematics ; Vol.216
Zusatzinfo 2 black & white illustrations
Verlagsort New York, NY
Sprache englisch
Maße 234 x 156 mm
Gewicht 499 g
Einbandart gebunden
Themenwelt Mathematik / Informatik Mathematik Algebra
Naturwissenschaften Physik / Astronomie
ISBN-10 0-387-95460-0 / 0387954600
ISBN-13 978-0-387-95460-8 / 9780387954608
Zustand Neuware
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