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Differential Geometry and Mathematical Physics: Part I. Manifolds, Lie Groups and Hamiltonian Systems (Theoretical and Mathematical Physics) - Hardcover
Synopsis
Starting from an undergraduate level, this book systematically develops the basics of
· Calculus on manifolds, vector bundles, vector fields and differential forms,
· Lie groups and Lie group actions,
· Linear symplectic algebra and symplectic geometry,
· Hamiltonian systems, symmetries and reduction, integrable systems and Hamilton-Jacobi theory.
The topics listed under the first item are relevant for virtually all areas of mathematical physics. The second and third items constitute the link between abstract...
Review
From the reviews:
“The book is the first of two volumes on differential geometry and mathematical physics. The present volume deals with manifolds, Lie groups, symplectic geometry, Hamiltonian systems and Hamilton-Jacobi theory. ... There are several examples and exercises scattered throughout the book. The presentation of material is well organized and clear. The reading of the book gives real satisfaction and pleasure since it reveals deep interrelations between pure mathematics..."About this title" may belong to another edition of this title.
- PublisherSpringer
- Publication date2012
- ISBN 10 9400753446
- ISBN 13 9789400753440
- BindingHardcover
- LanguageEnglish
- Number of pages776
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Differential Geometry and Mathematical Physics : Manifolds, Lie Groups and Hamiltonian Systems
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Differential Geometry and Mathematical Physics: Part I. Manifolds, Lie Groups and Hamiltonian Systems (Theoretical and Mathematical Physics)
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Differential Geometry and Mathematical Physics: Part I. Manifolds, Lie Groups and Hamiltonian Systems (Theoretical and Mathematical Physics) : Part I. Manifolds, Lie Groups and Hamiltonian Systems
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Hardcover. Condition: Neu. Neu Neuware, auf Lager - Starting from an undergraduate level, this book systematically develops the basics of- Calculus on manifolds, vector bundles, vector fields and differential forms,- Lie groups and Lie group actions,- Linear symplectic algebra and symplectic geometry,- Hamiltonian systems, symmetries and reduction, integrable systems and Hamilton-Jacobi theory.The topics listed under the first item are relevant for virtually all areas of mathematical physics. The second and third items constitute the link between abstract calculus and the theory of Hamiltonian systems. The last item provides an introduction to various aspects of this theory, including Morse families, the Maslov class and caustics.The book guides the reader from elementary differential geometry to advanced topics in the theory of Hamiltonian systems with the aim of making current research literature accessible. The style is that of a mathematical textbook,with full proofs given in the text or as exercises. The material is illustrated by numerous detailed examples, some of which are taken up several times for demonstrating how the methods evolve and interact. Seller Inventory # INF1000763559
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Differential Geometry and Mathematical Physics: Part I. Manifolds, Lie Groups and Hamiltonian Systems (Theoretical and Mathematical Physics)
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Differential Geometry and Mathematical Physics
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ISBN 10: 9400753446
ISBN 13: 9789400753440
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Buch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Starting from an undergraduate level, this book systematically develops the basics of- Calculus on manifolds, vector bundles, vector fields and differential forms,- Lie groups and Lie group actions,- Linear symplectic algebra and symplectic geometry,- Hamiltonian systems, symmetries and reduction, integrable systems and Hamilton-Jacobi theory.The topics listed under the first item are relevant for virtually all areas of mathematical physics. The second and third items constitute the link between abstract calculus and the theory of Hamiltonian systems. The last item provides an introduction to various aspects of this theory, including Morse families, the Maslov class and caustics.The book guides the reader from elementary differential geometry to advanced topics in the theory of Hamiltonian systems with the aim of making current research literature accessible. The style is that of a mathematical textbook,with full proofs given in the text or as exercises. The material is illustrated by numerous detailed examples, some of which are taken up several times for demonstrating how the methods evolve and interact. 776 pp. Englisch. Seller Inventory # 9789400753440
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Differential Geometry and Mathematical Physics
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Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Provides profound yet compact knowledge in manifolds, tensor fields, differential forms, Lie groups, G-manifolds and symplectic algebra and geometry for theoretical physicists Prepares the reader to access the research literature in Hamilt. Seller Inventory # 5827339
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Differential Geometry and Mathematical Physics : Part I. Manifolds, Lie Groups and Hamiltonian Systems
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Springer Netherlands, Springer Netherlands, 2012
ISBN 10: 9400753446
ISBN 13: 9789400753440
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Buch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - Starting from an undergraduate level, this book systematically develops the basics of- Calculus on manifolds, vector bundles, vector fields and differential forms,- Lie groups and Lie group actions,- Linear symplectic algebra and symplectic geometry,- Hamiltonian systems, symmetries and reduction, integrable systems and Hamilton-Jacobi theory.The topics listed under the first item are relevant for virtually all areas of mathematical physics. The second and third items constitute the link between abstract calculus and the theory of Hamiltonian systems. The last item provides an introduction to various aspects of this theory, including Morse families, the Maslov class and caustics.The book guides the reader from elementary differential geometry to advanced topics in the theory of Hamiltonian systems with the aim of making current research literature accessible. The style is that of a mathematical textbook,with full proofs given in the text or as exercises. The material is illustrated by numerous detailed examples, some of which are taken up several times for demonstrating how the methods evolve and interact. Seller Inventory # 9789400753440
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Differential Geometry and Mathematical Physics
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