Equivalence, Invariants and Symmetry

Name: Equivalence, Invariants and Symmetry
Price: 48.75 USD
Availability: InStock
ISBN: 9780521101042

ISBN-10: 0521101042

ISBN-13: 9780521101042

Edition: 2009

Authors: Peter J. Olver

List price: $75.99

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Description:

This book presents an innovative synthesis of methods used to study the problems of equivalence and symmetry that arise in a variety of mathematical fields and physical applications. It draws on a wide range of disciplines, including geometry, analysis, applied mathematics, and algebra. Dr. Olver develops systematic and constructive methods for solving equivalence problems and calculating symmetries, and applies them to a variety of mathematical systems, including differential equations, variational problems, manifolds, Riemannian metrics, polynomials, and differential operators. He emphasizes the construction and classification of invariants and reductions of complicated objects to simple…

Book details

List price: $75.99
Copyright year: 2009
Publisher: Cambridge University Press
Publication date: 2/5/2009
Binding: Paperback
Pages: 544
Size: 5.98" wide x 9.02" long x 1.22" tall
Weight: 1.738
Language: English




Geometric foundations



Lie groups



Representation theory



Jets and contact transformations



Differential invariants



Symmetries of differential equations



Symmetries of variational problems



Equivalence of coframes



Formulation of equivalence problems



Cartan's equivalence method



Involution



Prolongation of equivalence problems



Differential systems



Frobenius' theorem



The Cartanndash;Kahler existence theorem