Determinants and Their Applications in Mathematical Physics

A unique & detailed account of all important relations in the analytic theory of determinants, from the classical work of Laplace, Cauchy & Jacobi to the latest 20th century developments. The first five chapters are purely mathematical in nature & make extensive use of the column vector notation & 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 & relativity theory. The solutions are verified by applying theorems established in earlier chapters & the book ends with an extensive bibliography & index. Several contributions have never been published before. Indispensable for mathematicians, physicists & engineers wishing to become acquainted with this topic.Vein, Robert is the author of 'Determinants and Their Applications in Mathematical Physics', published 1995 under ISBN 9780132030199 and ISBN 0132030195.