Practical Guide to the Invariant Calculus (Hardcover)
 
作者: Elizabeth Mansfield 
分類: Differential calculus & equations ,
Numerical analysis  
書城編號: 388471


售價: $1064.00

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出版社: Cambridge University Press
出版日期: 2010/04/29
尺寸: 235x159x17mm
重量: 550 grams
ISBN: 9780521857017
 
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商品簡介
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.
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