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. Denis Serre is Professor of Mathematics at Ecole Normale Superieure 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: Theorie et Pratique, published by Dunod (2001).
From the reviews:
"This is a first-year graduate text that will be of considerable value to students with any of a wide variety of potential research objectives. Both the proofs and the general explanations are unusually detailed:There are 165 well-designed exercises, many of which provide additional information on topics treated in the text." (Mathematical Reviews)
"The main motivation of the author is to : obtain a textbook that is suita Read more... Categories
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2 eBooks tagged "Applications and Theory"
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Posted: September 30th, 2007, 10:53pm CEST
Tags: Matrices Theory and Applications [edit]
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. Denis Serre is Professor of Mathematics at Ecole Normale Superieure 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: Theorie et Pratique, published by Dunod (2001).
From the reviews:
"This is a first-year graduate text that will be of considerable value to students with any of a wide variety of potential research objectives. Both the proofs and the general explanations are unusually detailed:There are 165 well-designed exercises, many of which provide additional information on topics treated in the text." (Mathematical Reviews)
"The main motivation of the author is to : obtain a textbook that is suita Read more... Full download
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Posted: September 14th, 2007, 10:48am CEST
Tags: Digraphs Theory Algorithms and Applications [edit]
A handbook filling in a gap in the literature on the study of directed graphs. Presents a unified and comprehensive survey of the subject, covering theoretical and practical aspects, with algorithms, proofs, and applications of digraphs. Includes more than 700 exercises and 180 figures which further clarify topics. DLC: Directed graphs.
The study of directed graphs has developed enormously over recent decades, yet no book covers more than a tiny fraction of the results from more than 3000 research articles on the topic. Digraphs is the first book to present a unified and comprehensive survey of the subject. In addition to covering the theoretical aspects, including detailed proofs of many important results, the authors present a number of algorithms and applications. The applications of digraphs and their generalizations include among other things recent developments in the Travelling Salesman Problem, genetics and network connectivity. More than 700 exercises and 180 figures will help readers to study the topic while open problems and conjectures will inspire further research.
This book will be essential reading and reference for all graduate students, researchers and professionals in mathematics, operational research, computer science and other areas who are interested in graph theory and its applications. Read more... Full download