Applications of Lie Groups to Differential Equations (Graduate Texts in Mathematics)

Applications of Lie Groups to Differential Equations (Graduate Texts in Mathematics) pdf epub mobi txt 电子书 下载 2025

出版者:Springer
作者:Peter J. Olver
出品人:
页数:541
译者:
出版时间:1998-03-27
价格:USD 79.95
装帧:Hardcover
isbn号码:9780387940076
丛书系列:
图书标签:
  • 数学 
  • PDE 
  • Lie-Group 
  • 李群 
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Symmetry methods have long been recognized to be of great importance for the study of the differential equations arising in mathematics, physics, engineering, and many other disciplines. The purpose of this book is to provide a solid introduction to those applications of Lie groups to differential equations which have proved to be useful in practice, including determination of symmetry groups, integration of orginary differential equations, construction of group-invariant solutions to partial differential equations, symmetries and conservation laws, generalized symmetries, and symmetry methods in Hamiltonian systems. The computational methods are presented so that grauate students and researchers in other fields can readily learn to use them. Following an exposition of the applications, the book develops the underlying theory. Many of the topics are presented in a novel way, with an emphasis on explicit examples and computations. Further examples, as well as new theoretical developments, appear in the exercises at the end of each chapter. This second edition contains a new section on formal symmetries and the calculus of pseudo-differential operators, simpler proofs of some theorems, new exercises, and a substantially updated bibiography.

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