Advanced calculus : differential calculus and Stokes' theorem /

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This textbook offers a high-level introduction to multi-variable differential calculus. By introducing differential forms early as a basic concept, the structures behind Stokes' and Gauss' theorems become much clearer. Furthermore, it offers a natural route to differential geometry.

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Buono, Pietro-Luciano (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin : Walter de Gruyter GmbH, KG, [2016]
Colección:De Gruyter textbook.
Temas:
Differential calculus.
Mathematical analysis.
Stokes' theorem.
Calcul différentiel.
Analyse mathématique.
Théorème de Stokes.
MATHEMATICS > Calculus.
MATHEMATICS > Mathematical Analysis.
Differential calculus
Mathematical analysis
Stokes' theorem
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Frontmatter
  • Contents
  • Preface
  • 1. Introduction
  • 2. Calculus of Vector Functions
  • 3. Tangent Spaces and 1-forms
  • 4. Line Integrals
  • 5. Differential Calculus of Mappings
  • 6. Applications of Differential Calculus
  • 7. Double and Triple Integrals
  • 8. Wedge Products and Exterior Derivatives
  • 9. Integration of Forms
  • 10. Stokes' Theorem and Applications
  • Bibliography
  • Index.

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