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Equivalence, Invariants and Symmetry : London Mathematical Society Lecture Note - Peter J. Olver

Equivalence, Invariants and Symmetry

London Mathematical Society Lecture Note

Hardcover Published: 30th June 1995
ISBN: 9780521478113
Number Of Pages: 544

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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 canonical forms. This book will be a valuable resource for students and researchers in geometry, analysis, algebra, mathematical physics and related fields.

Industry Reviews

"...represents an important effort to present the theory of the equivalence problem in a modern language with many new applications to concrete situations; in the author's words, 'it is a provocative blend of mathematical flavors'. Most of the material is of interest, and easily readable, for a wide class of specialists in different areas, as the book offers applications ranging over a great variety of fields." Jaime Munoz Masque, Mathematical Reviews "Olver's highly original exposition gives a unified approach to a wide variety of problems of this sort via Cartan's equivalence method...this well-written book will interest a wide variety of mathematicians and graduate students." D.V. Feldman, Choice

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
Prolongation of equivalence problems
Differential systems
Frobenius' theorem
The Cartan-Kahler existence theorem
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780521478113
ISBN-10: 0521478111
Series: London Mathematical Society Lecture Note
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 544
Published: 30th June 1995
Country of Publication: GB
Dimensions (cm): 23.55 x 16.08  x 3.28
Weight (kg): 0.86

Earn 624 Qantas Points
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