Differential geometry and mathematical physics. Part I, Manifolds, Lie groups and Hamiltonian systems
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, integ...
محفوظ في:
| المؤلفون الرئيسيون: | , |
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| التنسيق: | Livre numérique |
| اللغة: | Anglais |
| منشور في: |
Dordrecht :
Springer Netherlands
[20..].
Cham : Springer Nature |
| الطبعة: | 1st ed. 2013. |
| سلاسل: | Theoretical and Mathematical Physics
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| الموضوعات: | |
| الوصول للمادة أونلاين: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| ملاحظة: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Variante du titre: | Manifolds, lie groups and Hamiltonian systems |
| Edition sous un autre format: | • Differential Geometry and Mathematical Physics, Texte imprimé, 9789400753464 • Differential Geometry and Mathematical Physics, Texte imprimé, 9789401781985 • Differential geometry and mathematical physics, Part I, Manifolds, lie groups and Hamiltonian systems, Gerd Rudolph, Matthias Schmidt, 2013, Dordrecht [etc.], Springer, 1 vol. (XIII-759 p.), Theoretical and mathematical physics, 978-94-007-5344-0 |
| الملخص: | 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 |
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| وصف المادة: | Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| بيبلوغرافيا: | Bibliogr. p. 729-740 de l'édition imprimée. Index |
| ردمك: | 9789400753457 |
| تدمد: | 1864-5887 |
| وصول: | Accès en ligne pour les établissements français bénéficiaires des licences nationales Accès soumis à abonnement pour tout autre établissement Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 |