Determinants and Their Applications in Mathematical Physics: 134 (Applied Mathematical Sciences) - Hardcover

Dale, Paul; Vein, Robert

 
9780387985589: Determinants and Their Applications in Mathematical Physics: 134 (Applied Mathematical Sciences)
Hardcover
ISBN 10: 0387985581 ISBN 13: 9780387985589
Verlag: Springer, 1998

Inhaltsangabe

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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Reseña del editor

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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Verlag
Springer
Erscheinungsdatum
1998
Sprache
Englisch
ISBN 10 
0387985581
ISBN 13 
9780387985589
Einband
Tapa dura
Anzahl der Seiten
396
Kontakt zum Hersteller
Nicht verfügbar
Verantwortliche Person
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