Applications of Lie Groups to Differential Equations (Graduate Texts in Mathematics) pdf epub mobi txt 电子书下载 2024

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Peter J. Olver

Springer

1998-03-27

541

USD 79.95

Hardcover

9780387940076

图书标签: 数学 PDE Lie-Group 李群

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Applications of Lie Groups to Differential Equations (Graduate Texts in Mathematics) epub 下载 mobi 下载 pdf 下载 txt 电子书下载 2024

Applications of Lie Groups to Differential Equations (Graduate Texts in Mathematics) pdf epub mobi txt 电子书下载 2024

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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.

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