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  • Transformation Groups and Lie Algebras
  • 點閱:262
  • 作者: by Nail H. Ibragimov
  • 出版社:Higher Education Press
  • 出版年:c2013
  • ISBN:978-7-04-036741-6 ; 7-04-036741-6
  • 格式:PDF
  • 附註:簡體字版

This book is based on the extensive experience of teaching for mathematics, physics and engineering students in Russia, USA, South Africa and Sweden. The author provides students and teachers with an easy to follow textbook spanning a variety of topics. The methods of local Lie groups discussed in the book provide universal and effective method for solving nonlinear differential equations analytically. Introduction to approximate transformation groups also contained in the book helps to develop skills in constructing approximate solutions for differential equations with a small parameter.

  • Preface(第iv頁)
  • Part I Local Transformation Groups(第1頁)
    • 1 Preliminaries(第3頁)
    • 2 One-parameter groups and their invariants(第23頁)
    • 3 Groups admitted by differential equations(第51頁)
    • 4 Lie algebras of operators(第75頁)
    • 5 Galois groups via symmetries(第107頁)
    • Assignment to Part I(第117頁)
  • Part II Approximate Transformation Groups(第125頁)
    • 6 Preliminaries(第127頁)
    • 7 Approximate transformations(第139頁)
    • 8 Approximate symmetries(第151頁)
    • 9 Applications(第161頁)
  • Assignment to Part II(第175頁)
  • Bibliography(第181頁)
  • Index(第183頁)
紙本書 NT$ 1380
單本電子書
NT$ 966

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