Applications of Lie Groups to Differential Equations. Graduate Texts in Mathematics, Band 107

Seitenzahl:

513

Gewicht:

806 g

Auflage:

2. Auflage.

Erschienen bei:

Kluwer Academic Publ

Kurzbeschreibung

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. TOC:Introduction to Lie Groups.- Symmetry Groups of Differential Equations.- Group-Invariant Solutions.- Symmetry Groups and Conservation Laws.- Generalized Symmetries.- Finite Dimensional Hamiltonian Systems.- Hamiltonian Methods for Evolution Equations.

Inhaltsverzeichnis

From the contents: Introduction to Lie Groups§- Symmetry Groups of Differential Equations§- Group-Invariant Solutions§- Symmetry Groups and Conservation Laws§- Generalized Symmetries§- Finite Dimensional Hamiltonian Systems§- Hamiltonian Methods for Evolution Equations

Mehr über...

Mehr über:  Mathematics, Differenzialgleichungen, Liesche Algebren/Gruppen, Differential Equations, Group Theory, Algebra - Linear

Mehr von: 

Mehr von:  Peter J. Olver, Kluwer Academic Publ