Problems and Solutions in Theoretical and Mathematical Physics: Introductory Level

by Steeb, Willi-Hans

• ISBN13: 9789814282154
• ISBN10: 9814282154
• Edition: 3rd
• Format: Paperback
• Copyright: 2009-11-30
• Publisher: World Scientific Pub Co Inc

Summary

This book provides a comprehensive collection of problems together with their detailed solutions in the field of Theoretical and Mathematical Physics. All modern fields in Theoretical and Mathematical Physics are covered. It is the only book which covers all the new techniques and methods in theoretical and mathematical physics. Third edition updated with: Exercises in: Hilbert space theory, Lie groups, Matrix-valued differential forms, BoseFermi operators and string theory. All other chapters have been updated with new problems and materials. Most chapters contain an introduction to the subject discussed in the text.

Author Biography

Willi-Hans Steeb is the Director of the International School for Scientific Computing, the aim of which is to fulfill the need in the information-technology and high-technology industries for professional training in software engineering and scientific computing including quantum computing and nanotechnology. He is also a professor at the Department of Applied Mathematics at the University of Johannesburg. His research focuses on nonlinear dynamical systems, chaos, neural networks, genetic algorithms, scientific computing, Lie groups, quantum chaos, quantum computing and string theory. He also has interest in object-oriented programming, C++, Java, LISP, gene expression programming, and Assembly languages. He is also one of the developers of the computer algebra package SymbolicC++. He is the author of 46 scientific books and more than 230 scientific publications.

Table of Contents

Preface	p. v
Notation	p. ix
Complex Numbers and Functions	p. 1
Sums and Products	p. 7
Discrete Fourier Transform	p. 23
Algebraic and Transcendental Equations	p. 29
Vector and Matrix Calculations	p. 37
Matrices and Groups	p. 55
Matrices and Eigenvalue Problems	p. 63
Functions of Matrices	p. 83
Transformations	p. 91
L'Hospital's Rule	p. 111
Lagrange Multiplier Method	p. 115
Linear Difference Equations	p. 121
Linear Differential Equations	p. 133
Integration	p. 149
Continuous Fourier Transform	p. 169
Complex Analysis	p. 175
Special Functions	p. 189
Inequalities	p. 203
Functional Analysis	p. 211
Combinatorics	p. 221
Convex Sets and Functions	p. 229
Optimization	p. 235
Bibliography	p. 241
Index	p. 245
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