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

Olver, Peter J.

ISBN 10: 0387940073 / ISBN 13: 9780387940076

Edité par Springer (edition 2nd), 1998

It's a preowned item in good condition and includes all the pages. It may have some general signs of wear and tear, such as markings, highlighting, slight damage to the cover, minimal wear to the binding, etc., but they will not affect the overall reading experience. N° de réf. du vendeur 0387940073-11-1

Synopsis :

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.

Détails bibliographiques

Titre : Applications of Lie Groups to Differential ...
Éditeur : Springer (edition 2nd)
Date d'édition : 1998
Reliure : Paperback
Etat : Good
Edition : 2nd.