ENGLISH

Symmetry and Integration Methods for Differential Equations

By George W. Bluman and Stephen C. Anco

Book information

Publisher
Springer New York
Year
2002
ISBN
9780387986548, 0387986545
DOI
10.1007/978-1-4757-4307-4
LCC
QA1 .A647 vol. 154 2002,QA372 .A647 vol. 154
Language
english
Format
PDF
Filesize
6 MB (5865142 bytes)
Series
Applied Mathematical Sciences 154
Pages
430\430
Time added
2010-02-18 13:16:04
Analysis

Description

This book provides a comprehensive treatment of symmetry methods and dimensional analysis. The authors discuss aspects of Lie groups of point transformations, contact symmetries, and higher order symmetries that are essential for solving differential equations. Emphasis is given to an algorithmic, computational approach to finding integrating factors and first integrals. Numerous examples including ordinary differential equations arising in applied mathematics are used for illustration and exercise sets are included throughout the text. This book is designed for advanced undergraduate or beginning graduate students of mathematics and physics, as well as researchers in mathematics, physics, and engineering.

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