Vector Analysis Versus Vector Calculus

• Main Authors: Galbis, Antonio (Author), Maestre, Manuel (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Boston, MA : Springer US, 2012.
• Series: Universitext,
• Subjects: Mathematics.; Global analysis (Mathematics).; Manifolds (Mathematics).; Mathematical physics.; Differential geometry.; Global Analysis and Analysis on Manifolds.; Differential Geometry.; Mathematical Applications in the Physical Sciences.

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...

Table of Contents:

• 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.