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Matrices : theory and applications

Author: D Serre
Publisher: New York : Springer, ©2002.
Series: Graduate texts in mathematics, 216.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
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  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Serre, D. (Denis).
Matrices.
New York : Springer, ©2002
(DLC) 2002022926
(OCoLC)49283979
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: D Serre
ISBN: 038722758X 9780387227580 0585472270 9780585472270 1280009705 9781280009709
OCLC Number: 559690705
Description: 1 online resource (xv, 202 pages) : illustrations.
Contents: Cover --
Preface --
Table of Contents --
List of Symbols --
1. Elementary Theory --
2. Square Matrices --
3. Matrices with Real or Complex Entries --
4. Norms --
5. Nonnegative Matrices --
6. Matrices with Entries in a Principal Ideal Domain; Jordan Reduction --
7. Exponential of a Matrix, Polar Decomposition, and Classical Groups --
8. Matrix Factorizations --
9. Iterative Methods for Linear Problems --
10. Approximation of Eigenvalues --
References.
Series Title: Graduate texts in mathematics, 216.
Other Titles: Matrices.
Responsibility: Denis Serre.

Abstract:

This book first provides a clean and concise introduction to the basic theory of matrices. It then goes on to give many interesting applications of matrices to different aspects of mathematics and  Read more...

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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 Read more...

 
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