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Applications of Lie Groups to Differential Equations / Peter J. Olver / Taschenbuch / Graduate Texts in Mathematics / Paperback / xxviii / Englisch / 2000 / Springer US / EAN 9780387950006 - Olver, Peter J.
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Olver, Peter J.:

Applications of Lie Groups to Differential Equations / Peter J. Olver / Taschenbuch / Graduate Texts in Mathematics / Paperback / xxviii / Englisch / 2000 / Springer US / EAN 9780387950006 - Paperback

2000, ISBN: 9780387950006

[ED: Taschenbuch], [PU: Springer US], Symmetry methods have long been recognized to be of great importance for the study of the differential equations. This book provides a solid introduc… More...

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Applications of Lie Groups to Differential Equations (Graduate Texts in Mathematics, 107, Band 107) - Olver, Peter J.
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Olver, Peter J.:

Applications of Lie Groups to Differential Equations (Graduate Texts in Mathematics, 107, Band 107) - Paperback

2013, ISBN: 9780387950006

Springer, Taschenbuch, Auflage: 2nd ed. 1993. 3rd printing 2000, 548 Seiten, Publiziert: 2013-10-04T00:00:01Z, Produktgruppe: Buch, Hersteller-Nr.: 10 black & white illustrations, 3.7 kg,… More...

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Applications of Lie Groups to Differential Equations (Graduate Texts in Mathematics, 107, Band 107) - Olver, Peter J.
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Olver, Peter J.:
Applications of Lie Groups to Differential Equations (Graduate Texts in Mathematics, 107, Band 107) - Paperback

2013

ISBN: 9780387950006

Springer, Taschenbuch, Auflage: 2nd ed. 1993. 3rd printing 2000, 548 Seiten, Publiziert: 2013-10-04T00:00:01Z, Produktgruppe: Buch, Hersteller-Nr.: 10 black & white illustrations, 3.7 kg,… More...

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Applications of Lie Groups to Differential Equations - Peter J. Olver
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Peter J. Olver:
Applications of Lie Groups to Differential Equations - Paperback

2000, ISBN: 0387950001

[EAN: 9780387950006], Nouveau livre, [SC: 11.99], [PU: Springer New York], ANALYSIS CALCULUS SYSTEMTHEORIE VARIATIONSRECHNUNG CON_D035 MATHEMATIK MATHEMATISCHE ANALYSIS, ALLGEMEIN GROUP T… More...

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Applications of Lie Groups to Differential Equations (Graduate Texts in Mathematics, 107) - Olver, Peter J.
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Olver, Peter J.:
Applications of Lie Groups to Differential Equations (Graduate Texts in Mathematics, 107) - Paperback

2000, ISBN: 0387950001

[EAN: 9780387950006], Nouveau livre, [SC: 28.3], [PU: Springer], New Copy. Customer Service Guaranteed, Books

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Details of the book
Applications of Lie Groups to Differential Equations (Graduate Texts in Mathematics, 107, Band 107)
Author:
Title:
ISBN:

9780387950006


A solid introduction to applications of Lie groups to differential equations which have proved to be useful in practice. The computational methods are presented such that graduates and researchers can readily learn to use them. Following an exposition of the applications, the book develops the underlying theory, with many of the topics presented in a novel way, emphasising explicit examples and computations. Further examples, as well as new theoretical developments, appear in the exercises at the end of each chapter.

Details of the book - Applications of Lie Groups to Differential Equations (Graduate Texts in Mathematics, 107, Band 107)


EAN (ISBN-13): 9780387950006
ISBN (ISBN-10): 0387950001
Hardcover
Paperback
Publishing year: 2007
Publisher: Springer
548 Pages
Weight: 0,806 kg
Language: eng/Englisch

Book in our database since 2007-04-14T20:37:20-04:00 (New York)
Detail page last modified on 2024-03-23T18:23:19-04:00 (New York)
ISBN/EAN: 9780387950006

ISBN - alternate spelling:
0-387-95000-1, 978-0-387-95000-6
Alternate spelling and related search-keywords:
Book author: olver, gehring peter, springer peter, theoretical physics
Book title: lie groups, differential equations, applications lie, graduate text mathematics, lie with, the graduate, lie group, graduate texts mathematics, 107

Information from Publisher

Author: Peter J. Olver
Title: Graduate Texts in Mathematics; Applications of Lie Groups to Differential Equations
Publisher: Springer; Springer US
513 Pages
Publishing year: 2000-01-21
New York; NY; US
Language: English
52,38 € (DE)
53,85 € (AT)
75,15 CHF (CH)
Available
XXVIII, 513 p.

BC; Hardcover, Softcover / Mathematik/Analysis; Mathematische Analysis, allgemein; Verstehen; CON_D035; Analysis; Group Theory and Generalizations; Calculus of Variations and Optimization; Systems Theory, Control; Gruppen und Gruppentheorie; Optimierung; Kybernetik und Systemtheorie; BB

1 Introduction to Lie Groups.- 1.1. Manifolds.- 1.2. Lie Groups.- 1.3. Vector Fields.- 1.4. Lie Algebras.- 1.5. Differential Forms.- Notes.- Exercises.- 2 Symmetry Groups of Differential Equations.- 2.1. Symmetries of Algebraic Equations.- 2.2. Groups and Differential Equations.- 2.3. Prolongation.- 2.4. Calculation of Symmetry Groups.- 2.5. Integration of Ordinary Differential Equations.- 2.6. Nondegeneracy Conditions for Differential Equations.- Notes.- Exercises.- 3 Group-Invariant Solutions.- 3.1. Construction of Group-Invariant Solutions.- 3.2. Examples of Group-Invariant Solutions.- 3.3. Classification of Group-Invariant Solutions.- 3.4. Quotient Manifolds.- 3.5. Group-Invariant Prolongations and Reduction.- Notes.- Exercises.- 4 Symmetry Groups and Conservation Laws.- 4.1. The Calculus of Variations.- 4.2. Variational Symmetries.- 4.3. Conservation Laws.- 4.4. Noether’s Theorem.- Notes.- Exercises.- 5 Generalized Symmetries.- 5.1. Generalized Symmetries of Differential Equations.- 5.2. Récursion Operators, Master Symmetries and Formal Symmetries.- 5.3. Generalized Symmetries and Conservation Laws.- 5.4. The Variational Complex.- Notes.- Exercises.- 6 Finite-Dimensional Hamiltonian Systems.- 6.1. Poisson Brackets.- 6.2. Symplectic Structures and Foliations.- 6.3. Symmetries, First Integrals and Reduction of Order.- Notes.- Exercises.- 7 Hamiltonian Methods for Evolution Equations.- 7.1. Poisson Brackets.- 7.2. Symmetries and Conservation Laws.- 7.3. Bi-Hamiltonian Systems.- Notes.- Exercises.- References.- Symbol Index.- Author Index.
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