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Matrices: Theory and Applications
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Matrices: Theory and Applications

Matrices: Theory and Applications

Graduate Texts in Mathematics

Denis Serre

214 pages, parution le 21/10/2002

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).

Autres livres de Denis Serre

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

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