Fundamentals of advanced mathematics. 3, Differential calculus, tensor calculus, differential geometry, global analysis /

Fundamentals of Advanced Mathematics, Volume Three, begins with the study of differential and analytic infinite-dimensional manifolds, then progresses into fibered bundles, in particular, tangent and cotangent bundles. In addition, subjects covered include the tensor calculus on manifolds, different...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Bourles, Henri (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Amsterdam : Elsevier, 2019.
Colección:New mathematical methods, systems and applications set
Temas:
Mathematics.
Differential calculus.
Calculus of tensors.
Geometry, Differential.
Global analysis (Mathematics)
Manifolds (Mathematics)
Mathematics
Math�ematiques.
Calcul diff�erentiel.
Calcul tensoriel.
G�eom�etrie diff�erentielle.
Analyse globale (Math�ematiques)
Vari�et�es (Math�ematiques)
Calculus of tensors
Differential calculus
Geometry, Differential
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Volume 1: 1. Categories and functors
  • 1.1. Categories
  • 1.2. Functors
  • 1.3. Structures
  • 2. Elementary algebraic structures
  • 2.1. Monoids and ordered sets
  • 2.2. Groups
  • 2.3. Rings and algebras
  • 3. Modules and algebras
  • 3.1. Additional concepts from linear algebra
  • 3.2. Notions of commutative algebra
  • 3.3. Homological notions
  • 3.4. Modules over principal ideal domains and related notions

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