Matrices: Theory and Applications

Graduate Texts in Mathematics

Denis Serre

214 pages, parution le 21/10/2002

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Résumé

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 Supérieure de Lyon. Contents

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.

L'auteur - Denis Serre

Denis Serre is Professor of Mathematics at École Normale Supérieure de Lyon and a former member of the Institut Universitaire de France. He is a member of numerous editorial boards and the author of "Systems of Conservation Laws" (Cambridge University Press 2000). With S. Benzoni-Gavage, he is the co-author of "Multi-Dimensional Hyperbolic Partial Differential Equations. First Order Systems and Applications" (Oxford University Press 2007). With S. Friedlander, he has co-edited four volumes of a "Handbook of Mathematical Fluid Dynamics" (Elsevier 2002--2007). The first edition of the present book is a translation of the original French edition, "Les Matrices: Théorie et Pratique", published by Dunod (2001).

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Caractéristiques techniques

	PAPIER
Éditeur(s)	Springer
Auteur(s)	Denis Serre
Parution	21/10/2002
Nb. de pages	214
Format	16 x 24
Couverture	Relié
Poids	460g
Intérieur	Noir et Blanc
EAN13	9780387954608
ISBN13	978-0-387-95460-8