This book explains recent results in the theory of moving frames that concern the symbolic manipulation of invariants of Lie group actions. In particular, theorems concerning the calculation of generators of algebras of differential invariants, and the relations they satisfy, are discussed in detail. The author demonstrates how new ideas lead to significant progress in two main applications: the solution of invariant ordinary differential equations and the structure of Euler-Lagrange equations and conservation laws of variational problems. The expository language used here is primarily that of undergraduate calculus rather than differential geometry, making the topic more accessible to a student audience. More sophisticated ideas from differential topology and Lie theory are explained from scratch using illustrative examples and exercises. This book is ideal for graduate students and researchers working in differential equations, symbolic computation, applications of Lie groups and, to a lesser extent, differential geometry.

Moving frames explained in the language of undergraduate calculus, suitable for graduate students.

About the Author
Elizabeth Louise Mansfield is Professor of Mathematics at the University of Kent, Canterbury.

Reviews
'This book is a very good introduction to Cartan's method of moving frames, using primarily undergraduate calculus. ...full of good examples.' Mathematical Reviews



Book Information
ISBN 9780521857017
Author Elizabeth Louise Mansfield
Format Hardback
Page Count 260
Imprint Cambridge University Press
Publisher Cambridge University Press
Weight(grams) 550g
Dimensions(mm) 234mm * 157mm * 17mm