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- catalog abstract "This book is unique. It contains a detailed account of all important relations in the analytic theory of determinants from the classical work of Laplace, Cauchy and Jacobi in the 18th and 19th centuries to the most recent 20th century developments. Several contributions have never been published before. 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. The whole of Chapter 4 is devoted to particular determinants including alternants, Wronskians and Hankelians. The contents of Chapter 5 include the Cusick and Matsuno identities. 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. They include the KdV, Toda and Einstein equations. The solutions are verified by applying theorems established in earlier chapters and in the extensive appendix. The book ends with an extensive bibliography and an index. Mathematicians, physicists and engineers who wish to become acquainted with modern developments in the analytic theory of determinants will find the book indispensable.".
- catalog contributor b11042217.
- catalog contributor b11042218.
- catalog created "c1999.".
- catalog date "1999".
- catalog date "c1999.".
- catalog dateCopyrighted "c1999.".
- catalog description "Includes bibliographical references and index.".
- catalog description "Preface -- Chapter 1: Determinants, first minors and cofactors -- Chapter 2: A summary of basic determinant theory -- Chapter 3: Intermediate determinant theory -- Chapter 4: Particular determinants -- Chapter 5: Further determinant theory -- Chapter 6: Applications of determinants in mathematical physics -- Appendix -- Bibliography -- Index.".
- catalog description "This book is unique. It contains a detailed account of all important relations in the analytic theory of determinants from the classical work of Laplace, Cauchy and Jacobi in the 18th and 19th centuries to the most recent 20th century developments. Several contributions have never been published before. 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. The whole of Chapter 4 is devoted to particular determinants including alternants, Wronskians and Hankelians. The contents of Chapter 5 include the Cusick and Matsuno identities. 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. They include the KdV, Toda and Einstein equations. The solutions are verified by applying theorems established in earlier chapters and in the extensive appendix. The book ends with an extensive bibliography and an index. Mathematicians, physicists and engineers who wish to become acquainted with modern developments in the analytic theory of determinants will find the book indispensable.".
- catalog extent "xiv, 376 p. ;".
- catalog identifier "0387985581 (alk. paper)".
- catalog isPartOf "Applied mathematical sciences (Springer-Verlag New York Inc.) ; v. 134.".
- catalog isPartOf "Applied mathematical sciences ; 134".
- catalog issued "1999".
- catalog issued "c1999.".
- catalog language "eng".
- catalog publisher "New York : Springer,".
- catalog subject "510 s 530.15 21".
- catalog subject "Determinants.".
- catalog subject "Mathematical physics.".
- catalog subject "Mathematics.".
- catalog subject "Matrix theory.".
- catalog subject "QA1 .A647 QC20.7.D45".
- catalog tableOfContents "Preface -- Chapter 1: Determinants, first minors and cofactors -- Chapter 2: A summary of basic determinant theory -- Chapter 3: Intermediate determinant theory -- Chapter 4: Particular determinants -- Chapter 5: Further determinant theory -- Chapter 6: Applications of determinants in mathematical physics -- Appendix -- Bibliography -- Index.".
- catalog title "Determinants and their applications in mathematical physics / Robert Vein, Paul Dale.".
- catalog type "text".