A Practical Guide to the Invariant Calculus: An Introduction to Theory and Applications (BOK)

Elizabeth Mansfield

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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.

Produktfakta

Språk Engelsk Engelsk Innbinding Innbundet
Utgitt 2010 Forfatter Elizabeth Mansfield
Forlag
CAMBRIDGE UNIVERSITY PRESS
ISBN 9780521857017
Antall sider 260 Dimensjoner 15,2cm x 22,8cm x 1,7cm
Vekt 550 gram Leverandør Bertram Trading Ltd
Emner og form Differential calculus & equations, Numerical analysis