Equivalence, Invariance, and Symmetry by Peter J. Olver
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About this book :-
Equivalence, Invariance, and Symmetry written by
Peter J. Olver .
This book revolves around three interconected and particularly fertile themes, each arising in a wide variety of mathematical disciplines and each having a wealth of significant and substantial applications. Equivalence deals with the determination of when two mathematical objects can be interpreted as the group of self equivalences.
This book will exploare the available methos for systematically and algorithmically solving the problems of symmetry, equivalence the classification of invariants and the determination of canonical forms, there by elucidating the many interconnections, some surprising between the particular manifestaions of these problems in seemingly unrelated situaitons.
(Peter J. Olver)
Book Detail :-
Title: Equivalence, Invariance, and Symmetry
Edition:
Author(s): Peter J. Olver
Publisher: Cambridge University Press
Series:
Year: 1995
Pages: 537
Type: PDF
Language: English
ISBN: 9780521478113,0521478111
Country: US
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About Author :-
The author Peter J. Olver is an American mathematician whose primary research interests involve the applications of symmetry and Lie groups to differential equations. He has been a full professor at the University of Minnesota since 1985 and is currently head of their mathematics department. In 2003, Olver was one of the top 234 most cited mathematicians in the world.
In 2014, Olver became a fellow of the Society for Industrial and Applied Mathematics for "developing new geometric methods for differential equations leading to applications in fluid mechanics, elasticity, quantum mechanics, and image processing.". In addition, Olver is an elected fellow of the Institute of Physics and a fellow of the American Mathematical Society.
Olver is a prolific author, having written over 200 academic papers as of 2015. Of these, 137 have appeared or will appear in major refereed journals, 46 have appeared in conference proceedings and seven have appeared as appendices and chapters in books.
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Book Contents :-
Equivalence, Invariance, and Symmetry written by
Peter J. Olver
cover the following topics.
'
1. Geometric Functions
2. Lie Groups
3. Representation Theory
4. Jets and Contact Transofrmations
5. Differential Invariants
6. Symmetries of Differential Equations
7. Symmetries of Variational Problems
8. Equivalence of Coframes
9. Formation Equivalence Problems
10. Cartan's Equivalence Method
11. Involution
12. Prolongation of Equivalence Problems
13. Differential Systems
14. Frobenius' Theorem
15. The Cartan Kahler Existence Theorem
Tables
Refrences
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