eBook - ePub
Kernel Functions and Elliptic Differential Equations in Mathematical Physics
- 464 pages
- English
- ePUB (mobile friendly)
- Available on iOS & Android
eBook - ePub
Kernel Functions and Elliptic Differential Equations in Mathematical Physics
About this book
This text focuses on the theory of boundary value problems in partial differential equations, which plays a central role in various fields of pure and applied mathematics, theoretical physics, and engineering. Geared toward upper-level undergraduates and graduate students, it discusses a portion of the theory from a unifying point of view and provides a systematic and self-contained introduction to each branch of the applications it employs.
The two-part treatment begins with a survey of boundary value problems occurring in certain branches of theoretical physics. It introduces fundamental solutions in a heuristic way and examines their physical significance. Many concepts can be unified by concentrating upon these particular kernels, and the text explains the common mathematical background of widely varying theories, such as those of heat conduction, hydrodynamics, electrostatics, magnetostatics, and elasticity. In addition to its intrinsic interest, this material provides illustrations and exact mathematical formulation of the problems and the methods. The second part is confined to a rather special type of partial differential equation, which is dealt with in the greatest detail so that students can make applications and generalizations to similar problems.
The two-part treatment begins with a survey of boundary value problems occurring in certain branches of theoretical physics. It introduces fundamental solutions in a heuristic way and examines their physical significance. Many concepts can be unified by concentrating upon these particular kernels, and the text explains the common mathematical background of widely varying theories, such as those of heat conduction, hydrodynamics, electrostatics, magnetostatics, and elasticity. In addition to its intrinsic interest, this material provides illustrations and exact mathematical formulation of the problems and the methods. The second part is confined to a rather special type of partial differential equation, which is dealt with in the greatest detail so that students can make applications and generalizations to similar problems.
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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 Kernel Functions and Elliptic Differential Equations in Mathematical Physics by Stefan Bergman,Menahem Schiffer in PDF and/or ePUB format, as well as other popular books in Mathematics & Differential Equations. We have over one million books available in our catalogue for you to explore.
Information
Table of contents
- Title Page
- Copyright Page
- Dedication
- Preface
- NOTE TO THE READER
- Table of Contents
- PART A - Boundary Value Problems for Partial Differential Equations of Elliptic Type
- PART B - Kernel Function Methods in the Theory of Boundary Value Problems
- LIST OF SYMBOLS AND NOTATIONS USED IN PART B
- BIBLIOGRAPHY - Books
- Articles
- Author Index
- Subject Index