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Mathematical Physics

Mathematical techniques are developed from basic knowledge of differential equations and complex variables. There are more than one hundred solved examples and a large collection of problems in the exercises. Examples and exercises are chosen to supplement the text and to a large extent from various branches of physics The book is intended as a text for students of Physics at the Master's level. It is assumed that the students pursuing the course have some knowledge of differential equations and complex variables. In addition, a knowledge of Physics upto at least undergraduate level is assumed. Throughout the book the applications of the mathematical techniques developed to physics, are emphasized. Examples are, to a large extent, drawn from various branches of physics. The exercises provide further extensions to such applications and are often 'chosen' to illustrate and supplement the material in the text. They thus form an essential part of the text. One full chapter on Linear Vector Spaces and Matrices is given. This chapter is essential for the understanding of the mathematical foundations of Quantum Mechanics and the material can be used in a course of Quantum Mechanics. Parts of Chapter 6 (Green's Function) will be useful in courses on Electrodynamics and Quantum Mechanics. One complete chapter is devoted to Group Theory with special emphasis on the applications in Physics. The subject matter is treated in fairly great detail and can be used in a course on Group Theory.
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Table of Contents

Complex Variables; Differential Equations; Second Order Differential Equations; Boundary Value Problems; Some Special Functions in Physics; Green's Function; Linear Vector Spaces and Matrices; Group Theory; Appendices:; Curvilinear Co-ordinates; Fourier and Laplace Transforms; The Method of Steepest Descent; Tensor Analysis.

About the Author

Pranab Kumar Chattopadhyay is a retired Professor of Physics. He did Masters in Physics from Calcutta University, Kolkata, India. He obtained PhD from the University of Pennsylvania, Philadelphia (USA) working in the field of Theoretical Nuclear Physics. He was a Research Associate at the Institute fur Theoretische Physik at Frankfurt/M, West Germany for three years. He has authored many research papers on nuclear collective motion and heavy ion collisions. He takes a deep interest in the teaching of Physics.

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