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A Practical Guide to the Invariant Calculus (Cambridge Monographs on Applied and Computational Mathematics, Vol. 26) - Hardcover
Synopsis
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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About the Author
Elizabeth Louise Mansfield is Professor of Mathematics at the University of Kent, Canterbury.
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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)
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Cambridge University Press, 2010
ISBN 10: 0521857015
ISBN 13: 9780521857017
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A Practical Guide to the Invariant Calculus
Published by
Cambridge University Press, 2010
ISBN 10: 0521857015
ISBN 13: 9780521857017
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Hardcover. Condition: Very Good. Illustrated. Minor shelf wear. Else a bright, clean copy. 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. Seller Inventory # 2039213
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A Practical Guide to the Invariant Calculus
Published by
Cambridge University Press, 2010
ISBN 10: 0521857015
ISBN 13: 9780521857017
Used
Hardcover
Seller: Powell's Bookstores Chicago, ABAA, Chicago, IL, U.S.A.
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A Practical Guide to the Invariant Calculus
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Cambridge University Press, Cambridge, 2010
ISBN 10: 0521857015
ISBN 13: 9780521857017
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Hardcover. Condition: Fine. Dust Jacket Condition: No Dust Jacket. First Edition. A bright, solid book, grey glossy boards as new, text unmarked; Large 8vo 9" - 10" tall; 247 pages; "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.". Seller Inventory # 17730
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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)
Published by
Cambridge University Press, 2010
ISBN 10: 0521857015
ISBN 13: 9780521857017
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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)
Published by
Cambridge University Press, 2010
ISBN 10: 0521857015
ISBN 13: 9780521857017
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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)
Published by
Cambridge University Press, 2010
ISBN 10: 0521857015
ISBN 13: 9780521857017
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A Practical Guide to the Invariant Calculus
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A Practical Guide to the Invariant Calculus
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Practical Guide to the Invariant Calculus
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ISBN 13: 9780521857017
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