Determinants and Their Applications in Mathematical Physics / Edition 1

Determinants and Their Applications in Mathematical Physics / Edition 1

by Robert Vein, Paul Dale
     
 

ISBN-10: 0387985581

ISBN-13: 9780387985589

Pub. Date: 11/20/1998

Publisher: Springer New York

A unique and detailed account of all important relations in the analytic theory of determinants, from the classical work of Laplace, Cauchy and Jacobi to the latest 20th century developments. The first five chapters are purely mathematical in nature and make extensive use of the column vector notation and scaled cofactors. They contain a number of important relations…  See more details below

Overview

A unique and detailed account of all important relations in the analytic theory of determinants, from the classical work of Laplace, Cauchy and Jacobi to the latest 20th century developments. The first five chapters are purely mathematical in nature and make extensive use of the column vector notation and scaled cofactors. They contain a number of important relations involving derivatives which prove beyond a doubt that the theory of determinants has emerged from the confines of classical algebra into the brighter world of analysis. Chapter 6 is devoted to the verifications of the known determinantal solutions of several nonlinear equations which arise in three branches of mathematical physics, namely lattice, soliton and relativity theory. The solutions are verified by applying theorems established in earlier chapters, and the book ends with an extensive bibliography and index. Several contributions have never been published before. Indispensable for mathematicians, physicists and engineers wishing to become acquainted with this topic.

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Product Details

ISBN-13:
9780387985589
Publisher:
Springer New York
Publication date:
11/20/1998
Series:
Applied Mathematical Sciences Series, #134
Edition description:
1999
Pages:
410
Product dimensions:
9.21(w) x 6.14(h) x 0.94(d)

Related Subjects

Table of Contents

Determinants, First Minors, and Cofactors.- A Summary of Basic Determinant Theory.- Intermediate Determinant Theory.- Particular Determinants.- Further Determinant Theory.- Applications of Determinants in Mathematical Physics.

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