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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. This second edition contains 40% new material including new topics such as the Dunford decomposition, tensor calculus, functional calculus and the Dunford Taylor formula, stable and unstable subspaces, Weyl inequalities, and von Neumann s Inequality.§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.
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