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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Détails bibliographiques
Auteurs principaux: Galbis, Antonio, 19..-, Maestre, Manuel, 19..- (Auteur)
Format: Livre numérique
Langue:Anglais
Publié: Boston, MA : Springer US 2012.
Cham : Springer Nature
Collection:Universitext
Sujets:
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Edition sous un autre format:• Vector analysis versus vector calculus, Antonio Galbis, Manuel Maestre, New York, Springer, 2012, 1 vol. (XIII-375 p.), Universitext, 978-1-4614-2199-3
Table des matières:
  • 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
  • 7 bIntegration on Surfaces
  • 8 Surfaces with Boundary
  • 9 The General Stokes' Theorem
  • Solved Exercises
  • References
  • Index
  • 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