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A Practical Guide to the Invariant Calculus by Elizabeth Louise Mansfield (Hardcover, 2010)

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About this product

Product Information

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.

Product Identifiers

Publisher
Cambridge University Press
ISBN-13
9780521857017
eBay Product ID (ePID)
92648907

Product Key Features

Author
Elizabeth Louise Mansfield
Publication Name
A Practical Guide to the Invariant Calculus
Format
Hardcover
Language
English
Subject
Mathematics
Publication Year
2010
Type
Textbook
Number of Pages
260 Pages

Dimensions

Item Height
234mm
Item Width
157mm
Item Weight
550g

Additional Product Features

Title_Author
Elizabeth Louise Mansfield
Series Title
Cambridge Monographs on Applied and Computational Mathematics
Country/Region of Manufacture
United Kingdom

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