Matrices: Theory and Applications (Graduate Texts in Mathematics Book 216) 2nd Edition by Denis Serre (PDF)

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 include:• Dunford decomposition,• tensor and exterior calculus, polynomial identities,• regularity of eigenvalues for complex matrices,• functional calculus and the Dunford–Taylor formula,• numerical range,• Weyl’s and von Neumann’s 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 École Normale Supérieure de Lyon.

User’s Reviews

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐To me, this book is one of the most condensed and complet matrix book ever, from a mathematical viewpoint. It is moreover very clear and full of efficient excersises whose corrections are available on the Internet.It is worth stressing that this second edition is more complet than the first one: innovative exercises have been added, new chapters like the Tensor chapter, and unknown theorems from the public are explained and proved. It is the sequel of any mathematical-viewpoint advanced matrix book… Finally one!

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