Analytic functions and distributions in physics and engineering

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The purpose of this book is to present in an informal and easily readable style an introduction to those mathematical concepts and techniques involving analytic functions and distributions that have found wide application in theoretical physics and engineering in recent years. Originally written with an industrial educational program in mind, it has been my intention to present the material in a form suitable for students and research workers whose interest is primarily in the application ofmathematical theories rather than in these theories themselves. I have avoided therefore abstract and involved mathematical arguments and have not attempted to present the foundations ofthe concepts and techniques in their most general form. Instead I have attempted to present an easily accessible introduction on the mathematical level of most research papers concerned with the applications of analytic functions and distributions to the solution of concrete physical problems

Author(s): Bernard W. Roos
Publisher: John Wiley & Sons, Inc.
Year: 1969

Language: English
Pages: XVI; 521
City: New York

Title Page
Dedication
Preface
Table of Contents
CHAPTER I - ANALYTIC FUNCTIONS
CHAPTER II - FOURIER TRANSFORMS, CAUSALITY, AND DISPERSION RELATIONS
CHAPTER III - THE WIENER-HOPF TECHNIQUE
CHAPTER IV - BOUNDARY VALUE PROBLEMS FOR SECTIONALLY ANALYTIC FUNCTIONS
CHAPTER V - DISTRIBUTIONS
CHAPTER VI - APPLICATIONS IN NEUTRON TRANSPORT THEORY
CHAPTER VII - APPLICATIONS IN PLASMA PHYSICS
APPENDIX A - PATHS, CONTOURS, AND REGIONS IN THE COMPLEX PLANE
APPENDIX B - ORDER RELATIONS
BIBLIOGRAPHY
INDEX