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丛书简介
力学基础与工程技术前沿
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
全书目录
本章目录
内封
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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
8.1 Definition of approximate symmetries
8.2 Calculation of approximate symmetries
8.2.1 Determining equations
8.2.2 Stable symmetries
8.2.3 Algorithm for calculation
8.3 Examples .
8.3.1 First example
8.3.2 Approximate commutator and Lie algebras
8.3.3 Second example
8.3.4 Third example
Exercises to Chapter 8
8 Approximate symmetries
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