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Integral Representations For Spatial Models of Mathematical Physics (Research Notes in Mathematics Series, Volume 351)

Integral Representations For Spatial Models of Mathematical Physics (Research Notes in Mathematics Series, Volume 351)

Integral Representations For Spatial Models of Mathematical Physics (Research Notes in Mathematics Series, Volume 351) Paperback - 1996

by Kravchenko, Vladislav V; Shapiro, Michael

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Longman, 1996. paperback. Very Good. 7x0x9. Addison Wesley Longman; Harlow, 1996. Trade paperback. A Very Good, binding sturdy and intact, trace handling/scuff marks to covers, bit of cover edge/corner wear, small crease top front cover corner and top corner of first few pages, few small scuff marks bottom text block edge, a nice, clean and unmarked copy in wraps. 8vo[octavo or approx. 6 x 9], 247pp., bibliography, indexed. We pack securely and ship daily w/delivery confirmation on every book. The picture on the listing page is of the actual book for sale. Additional Scan(s) are available for any item, please inquire.
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From the publisher

This book provides a new mathematical theory for the treatment of an ample series of spatial problems of electrodynamics, particle physics, quantum mechanics and elasticity theory. This technique proves to be as powerful for solving the spatial problems of mathematical physics as complex analysis is for solving planar problems. The main analytic tool of the book, a non-harmonic version of hypercomplex analysis recently developed by the authors, is presented in detail. There are given applications of this theory to the boundary value problems of electrodynamics and elasticity theory as well as to the problem of quark confinement. A new approach to the linearization of special classes of the self-duality equation is also considered. Detailed proofs are given throughout. The book contains an extensive bibliography on closely related topics. This book will be of particular interest to academic and professional specialists and students in mathematics and physics who are interested in integral representations for partial differential equations. The book is self-contained and could be used as a main reference for special course seminars on the subject.

First line

1.1 We shall denote by H(R) and by H(C) the sets of real and complex quaternions (=biquaternions) correspondingly (the letter H is chosen traditionally in honour of the inventor of quaternions, W.R. Hamilton).

About the author

Escuela Superior de Ingenieria Mecanica y Electrica del IPN, Mexico. Escuela Superior de Fisica y Matematicas del IPN, Mexico.

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