基本説明
Original French edition published by Dunod, 2001. Based on a course given by the author at the ENS Lyon. Denis Serre begins by providing a clean and concise introduction to the basic theory of matrices.
Full 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. 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.
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.
