A Practical Guide to the Invariant Calculus (Cambridge Monographs on Applied and Computational Mathematics, Vol. 26) (Cambridge Monographs on Applied and Computational Mathematics, Series Number 26)

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. Elizabeth Louise Mansfield. Title From Publisher's Bibliographic System (viewed On 01 Jun 2016). Mode Of Access: World Wide Web. Explaining and developing new applications of continuous symmetry groups (Lie groups), in particular, the symbolic manipulation of invariants of group actions this text uses worked examples and exercises Moving frames explained in the language of undergraduate calculus, suitable for graduate students