eBook - ePub
Integral Representations For Spatial Models of Mathematical Physics
- 256 pages
- English
- ePUB (mobile friendly)
- Available on iOS & Android
eBook - ePub
Integral Representations For Spatial Models of Mathematical Physics
About this book
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.
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Please note we cannot support devices running on iOS 13 and Android 7 or earlier. Learn more about using the app.
Yes, you can access Integral Representations For Spatial Models of Mathematical Physics by Vladislav V Kravchenko,Michael Shapiro in PDF and/or ePUB format, as well as other popular books in Mathematics & Mathematics General. We have over one million books available in our catalogue for you to explore.
Information
Table of contents
- Cover
- Series Page
- Title Page
- Copyright Page
- Dedication Page
- Contents
- 0 Introduction and some remarks on generalizations of complex analysis
- 1 α-holomorphic function theory
- 2 Electrodynamical models
- 3 Massive spinor fields
- 4 Hypercomplex factorization, systems of non-linear partial differential equations generated by Füter-type operators
- Appendices
- Bibliography
- Index