Applications of Lie Groups to Differential Equations

Peter J. Olver

ISBN 10: 0387950001 / ISBN 13: 9780387950006

Verlag: Springer-Verlag New York Inc., US, 2000

Bestandsnummer des Verkäufers LU-9780387950006

Inhaltsangabe:

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.

Über die Autorin bzw. den Autor: Peter Olver is Professor of Mathematics at University of Minnesota, Twin Cities. His research centers around Lie groups, differential equations, and various areas of applied mathematics. His previous books include Introduction to Partial Differential Equations (Springer, UTM, 2014), and Applications of Lie Groups to Differential Equations (Springer, GTM 107, 1993). Chehrzad Shakiban is Professor of Mathematics at University of St. Thomas, St. Paul. Her interests include calculus of variations, computer vision, and innovative learning experiences that illustrate connections between mathematics and the arts.

Bibliografische Details

Titel: Applications of Lie Groups to Differential ...
Verlag: Springer-Verlag New York Inc., US
Erscheinungsdatum: 2000
Einband: Paperback
Zustand: New
Auflage: Second Edition 1993.