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

Clear and concise introduction to matrices with elegant proofs; Of interest to scientists from many disciplines; Gives many interesting applications to different parts of mathematics, such as algebra, analysis and complexity theory; Contains 160 exercises, half of them on advanced material; Includes at least one advanced result per chapter

Denis Serre is Professor of Mathematics at Ecole Normale Supérieure de Lyon and a former member of the Institut Universaire de France. He is a member of numerous editorial boards and the author of "Systems of Conservation Laws" (Cambridge University Press 2000). The present book is a translation of the original French edition, "Les Matrices: Théorie et Pratique", published by Dunod (2001).