Integral Representations For Spatial Models of Mathematical Physics
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A01=Michael Shapiro
A01=Vladislav V Kravchenko
advanced mathematical physics
Author_Michael Shapiro
Author_Vladislav V Kravchenko
Bag Model
Boundary Integral Equation
boundary value analysis
Category=PDE
Category=PH
Cauchy Integral Theorem
Cauchy Kernel
Cauchy Riemann Operator
Cauchy Type Integrals
Classical Maxwell Equations
Complex Magnetic Permeability
Differential equations
Dirac Algebra
Dirac Equation
Dirichlet Problem
elasticity modeling
Electromagnetic Potentials
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Exterior Dirichlet Problem
General
graduate level mathematics
Helmholtz Operator
Holomorphic Function
Hyperholomorphic Functions
integral representations for PDEs
Lorentz Gauge
Mathematical Physics
MATHEMATICS
Maxwell Equations
Partial
partial differential equations
Physics
Plemelj Sokhotski Formula
quantum field theory
Quaternionic Analysis
SCIENCE
Spinor Field
Time Harmonic Case
Time Harmonic Electromagnetic Fields
Time Harmonic Function
Vice Versa
Product details
- ISBN 9780582297418
- Weight: 430g
- Dimensions: 174 x 246mm
- Publication Date: 27 Jun 1996
- Publisher: Taylor & Francis Ltd
- Publication City/Country: GB
- Product Form: Hardback
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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.
Escuela Superior de Ingenieria Mecanica y Electrica del IPN, Mexico. Escuela Superior de Fisica y Matematicas del IPN, Mexico.
