Differential geometry and mathematical physics. Manifolds, Lie groups and Hamiltonian systems

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...

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Kaydedildi:
Detaylı Bibliyografya
Asıl Yazarlar: Rudolph, Gerd, 19..-, Schmidt, Matthias, 19..-...., physicien (Yazar)
Materyal Türü: Livre numérique
Dil:Anglais
Baskı/Yayın Bilgisi: Dordrecht : Springer Netherlands [20..].
Cham : Springer Nature
Edisyon:1st ed. 2013.
Seri Bilgileri:Theoretical and Mathematical Physics
Konular:
Physique mathématique
Géométrie différentielle
Lie, Groupes de
Groupes topologiques
Online Erişim:Accès sur la plateforme de l'éditeur
Accès sur la plateforme Istex
Accès Université d'Orléans
Accès INSA CVL
Not: 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
İçindekiler:
  • 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.
  • 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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