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1. |
Record Nr. |
UNINA9910736987103321 |
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Autore |
Rudolph Gerd |
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Titolo |
Manifolds, lie groups and hamiltonian systems / / Gerd Rudolph, Matthias Schmidt |
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Pubbl/distr/stampa |
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New York, : Springer, 2013 |
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ISBN |
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1-283-90982-0 |
94-007-5345-4 |
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Edizione |
[1st ed. 2013.] |
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Descrizione fisica |
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1 online resource (765 p.) |
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Collana |
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Theoretical and mathematical physics, , 1864-5879 |
Differential geometry and mathematical physics ; ; pt. I |
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Altri autori (Persone) |
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Disciplina |
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Soggetti |
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Geometry, Differential |
Mathematical physics |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Description based upon print version of record. |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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1 Differentiable manifolds -- 2 Vector bundles -- 3 Vector fields -- 4 Differential forms -- 5 Lie groups -- 6 Lie group actions -- 7 Linear symplectic algebra -- 8 Symplectic geometry -- 9 Hamiltonian systems -- 10 Symmetries -- 11 Integrability -- 12 Hamilton-Jacobi theory -- References. |
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Sommario/riassunto |
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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 |
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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. |
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2. |
Record Nr. |
UNINA9910872436603321 |
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Titolo |
2004 IEEE International Symposium on Virtual Environments, Human-Computer Interfaces and Measurement Systems : (VECIMS) : July 12-14, 2004, Boston, MA |
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Pubbl/distr/stampa |
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[Place of publication not identified], : IEEE, 2004 |
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Disciplina |
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Soggetti |
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Virtual computer systems |
Human-computer interaction |
Computer graphics |
Fuzzy systems |
Measurement |
Computer Science |
Engineering & Applied Sciences |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Bibliographic Level Mode of Issuance: Monograph |
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