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About this book
Symmetry methods have long been recognized to be of great importance for the study of the differential equations. This book provides a solid introduction to those applications of Lie groups to differential equations which have proved to be useful in practice. The computational methods are presented so that graduate students and researchers 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.
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Table of contents (7 chapters)
Authors and Affiliations
Bibliographic Information
Book Title: Applications of Lie Groups to Differential Equations
Authors: Peter J. Olver
Series Title: Graduate Texts in Mathematics
DOI: https://doi.org/10.1007/978-1-4612-4350-2
Publisher: Springer New York, NY
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eBook Packages: Springer Book Archive
Copyright Information: Springer-Verlag New York, Inc. 1993
Softcover ISBN: 978-0-387-95000-6Published: 21 January 2000
eBook ISBN: 978-1-4612-4350-2Published: 27 January 2022
Series ISSN: 0072-5285
Series E-ISSN: 2197-5612
Edition Number: 2
Number of Pages: XXVIII, 513
Topics: Analysis, Group Theory and Generalizations, Calculus of Variations and Optimal Control; Optimization, Systems Theory, Control