Elementary Symplectic Topology and Mechanics

This is a short tract on the essentials of differential and symplectic geometry together with a basic introduction to several applications of this rich framework: analytical mechanics, the calculus of variations, conjugate points & Morse index, and other physical topics. A central feature is the...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Cardin, Franco (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cham : Springer International Publishing : Imprint: Springer, 2015.
Edición:1st ed. 2015.
Colección:Lecture Notes of the Unione Matematica Italiana, 16
Temas:
Mathematical physics.
Geometry, Differential.
Mathematical optimization.
Calculus of variations.
Mathematical Physics.
Differential Geometry.
Calculus of Variations and Optimization.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • Beginning
  • Notes on Differential Geometry
  • Symplectic Manifolds
  • Poisson brackets environment
  • Cauchy Problem for H-J equations
  • Calculus of Variations and Conjugate Points
  • Asymptotic Theory of Oscillating Integrals
  • Lusternik-Schnirelman and Morse
  • Finite Exact Reductions
  • Other instances
  • Bibliography.

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