1 Preliminaries

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变换群和李代数（英文版) (Transformation Groups and 作者：Nail Ibragimov　　 ISBN：978-7-04-036741-6　出版时间：2013-03-11

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目录

Front Matter

Part I Local Transformation Groups

1 Preliminaries

2 One-parameter groups and their invariants

3 Groups admitted by differential equations

4 Lie algebras of operators

5 Galois groups via symmetries

Assignment to Part I

Part II Approximate Transformation Groups

6 Preliminaries

7 Approximate transformations

8 Approximate symmetries

9 Applications

Assignment to Part II

Bibliography

Index
- 1.1 Changes of frames of reference and point transformations
- 1.1.1 Translations
- 1.1.2 Rotations
- 1.1.3 Galilean transformation
- 1.2 Introduction of transformation groups
- 1.2.1 Definitions and examples
- 1.2.2 Different types of groups
- 1.3 Some useful groups
- 1.3.1 Finite continuous groups on the straight line
- 1.3.2 Groups on the plane
- 1.3.3 Groups in IRn
- Exercises to Chapter 1

1 Preliminaries

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