Dedication

pp v-vi

Contents

pp vii-xviii

List of Figures

pp xix-xx

Preface

pp xxi-xxii

PART A - General Introduction

pp 1-2

1 - Rules of Logic

pp 3-17

2 - Sets and Functions

pp 18-36

3 - Algebraic Structures

pp 37-64

PART B - Vector Spaces

pp 65-66

4 - Basics

pp 67-87

5 - Operators on Vector Spaces

pp 88-125

6 - Infinite Dimensional Vector Spaces

pp 126-152

PART C - Group Theory

pp 153-154

7 - General Properties of Groups

pp 155-186

8 - Finite Groups

pp 187-226

9 - Representation of Finite Groups

pp 227-280

10 - Symmetries of Regular Geometrical Objects

pp 281-310

11 - Countably Infinite Groups

pp 311-325

12 - General Properties of Lie Groups

pp 326-357

13 - Rotations and Translations

pp 358-392

14 - Unitary Groups and Their Representations

pp 393-419

15 - Orthogonal Groups and Their Representations

pp 420-457

16 - Parameter Space of Lie Groups

pp 458-471

17 - Representations of the Lorentz Group

pp 472-502

18 - Roots and Weights

pp 503-547

19 - Some Other Groups and Algebras

pp 548-594

PART D - Topology

pp 595-596

20 - Continuity of Functions

pp 597-606

21 - Topological Spaces

pp 607-630