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Continuous Symmetries, Lie Algebras, Differential Equations and Computer Algebra~tqw~ darksiderg

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Continuous Symmetries, Lie Algebras, Differential Equations and Computer Algebra
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Type.................: Ebook
Part Size............: 1,722,183 bytes




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Posted by............: ~tqw~

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Release Notes
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This textbook comprehensively introduces students and researchers to the
application of continuous symmetries and their Lie algebras to ordinary and
partial differential equations. Covering all the modern techniques in detail, it
relates applications to cutting-edge research fields such as Yang-Mills theory
and string theory.

Table Of Contents
1 Introduction 1
2 Groups 7
3 Lie Groups 21
4 Lie Transformation Groups 35
5 In nitesimal Transformations 57
6 Lie Algebras 75
7 Introductory Examples 103
8 Dierential Forms and Tensor Fields 121
9 Lie Derivative and Invariance 145
10 Invariance of Dierential Equations 163
11 Lie-Backlund Vector Fields 201
12 Dierential Equation for a Given Lie Algebra 217
13 A List of Lie Symmetry Vector Fields 225
14 Recursion Operators 245
15 Backlund Transformations 259
16 Lax Representations 267
17 Conservation Laws 279
18 Symmetries and Painleve Test 311
19 Ziglin\'s Theorem and Integrability 353
20 Lie Algebra Valued Dierential Forms 367
21 Bose Operators and Lie Algebras 393
22 Maps and Invariants 407
23 Computer Algebra 415
A Differentiable Manifolds 433
Bibliography 443
Index 453

Product Details

* ISBN: 981270809X
* ISBN-13: 9789812708090
* Format: Hardcover, 472pp
* Publisher: World Scientific Publishing Company, Incorporated
* Pub. Date: November 2007
* Edition Number: 2

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