Vector Analysis Versus Vector Calculus

The aim of this book is to facilitate the use of Stokes' Theorem in applications.  The text takes a differential geometric point of view and provides for the student a bridge between pure and applied mathematics by carefully building a formal rigorous development of the topic and following this...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Galbis, Antonio (Autor), Maestre, Manuel (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: New York, NY : Springer New York : Imprint: Springer, 2012.
Edición:1st ed. 2012.
Colección:Universitext,
Temas:
Global analysis (Mathematics).
Manifolds (Mathematics).
Geometry, Differential.
Mathematical physics.
Global Analysis and Analysis on Manifolds.
Differential Geometry.
Mathematical Physics.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • Preface
  • 1 Vectors and Vector Fields
  • 2 Line Integrals
  • 3 Regular k-surfaces
  • 4 Flux of a Vector Field
  • 5 Orientation of a Surface
  • 6 Differential Forms
  • Integration on Surfaces
  • 8 Surfaces with Boundary
  • 9 The General Stokes' Theorem
  • Solved Exercises
  • References
  • Index.

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