Problems And Solutions In Theoretical And Mathematical Physics - Volume I: Introductory Level (Third Edition) / Edition 3

by Willi-hans Steeb

Overview

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, Bose-Fermi 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.

Product Details

ISBN-13:	9789814282154
Publisher:	World Scientific Publishing Company, Incorporated
Publication date:	07/28/2009
Edition description:	3rd ed.
Pages:	260
Product dimensions:	6.00(w) x 8.90(h) x 0.60(d)

Table of Contents

Preface v

Notation ix

1 Complex Numbers and Functions 1

2 Sums and Products 7

3 Discrete Fourier Transform 23

4 Algebraic and Transcendental Equations 29

5 Vector and Matrix Calculations 37

6 Matrices and Groups 55

7 Matrices and Eigenvalue Problems 63

8 Functions of Matrices 83

9 Transformations 91

10 L'Hospital's Rule 111

11 Lagrange Multiplier Method 115

12 Linear Difference Equations 121

13 Linear Differential Equations 133

14 Integration 149

15 Continuous Fourier Transform 169

16 Complex Analysis 175

17 Special Functions 189

18 Inequalities 203

19 Functional Analysis 211

20 Combinatorics 221

21 Convex Sets and Functions 229

22 Optimization 235

Bibliography 241

Index 245