num_pages: 303
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. With forty percent new material this second edition is significantly different from the first edition. Newly added topics  Dunford decomposition  tensor and exterior calculus polynomial identities  regularity of eigenvalues for complex matrices  functional calculus and the DunfordTaylor formula  numerical range  Weyl's and von Neumanns inequalities and  Jacobi method with random choice. 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 cole Normale Suprieure de Lyon.
language: English
title: Matrices: Theory and Applications
publisher: Springer