Research Catalog

Applications of Lie groups to differential equations

Title
Applications of Lie groups to differential equations / Peter J. Olver.
Author
Olver, Peter J.
Publication
  • New York : Springer-Verlag, [1986]
  • ©1986

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StatusFormatAccessCall NumberItem Location
TextUse in library QA372 .O55 1986Off-site

Details

Description
xxvi, 497 pages : illustrations; 25 cm
Summary
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.
Series Statement
Graduate texts in mathematics ; 107
Uniform Title
Graduate texts in mathematics ; 107.
Subject
  • Differential equations
  • Lie groups
  • Physik
  • Differentialgleichung
  • Lie-Gruppe
  • Differentiaalvergelijkingen
  • Lie-groepen
  • Équations différentielles
  • Groupes de Lie
  • Differentialgleichung
  • Lie-Gruppe
Note
  • Includes indexes.
Bibliography (note)
  • Bibliography: p. [457]-474.
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.
ISBN
  • 0387962506
  • 9780387962504
  • 3540962506
  • 9783540962502
LCCN
85017318
OCLC
  • ocm12420814
  • 12420814
  • SCSB-633227
Owning Institutions
Princeton University Library