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- catalog abstract "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.".
- catalog contributor b577955.
- catalog created "c1986.".
- catalog date "1986".
- catalog date "c1986.".
- catalog dateCopyrighted "c1986.".
- catalog description "Bibliography: p. [457]-474.".
- catalog description "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.".
- catalog description "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.".
- catalog extent "xxvi, 497 p. :".
- catalog hasFormat "Applications of Lie groups to differential equations.".
- catalog identifier "0387962506 :".
- catalog isFormatOf "Applications of Lie groups to differential equations.".
- catalog isPartOf "Graduate texts in mathematics ; 107".
- catalog issued "1986".
- catalog issued "c1986.".
- catalog language "eng".
- catalog publisher "New York : Springer-Verlag,".
- catalog relation "Applications of Lie groups to differential equations.".
- catalog subject "Differential equations.".
- catalog subject "Lie groups.".
- catalog subject "QA372 .O55 1986".
- catalog tableOfContents "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.".
- catalog title "Applications of Lie groups to differential equations / Peter J. Olver.".
- catalog type "text".