Vectors and Vector Fields -- Line Integrals -- Regular k-Surfaces -- Flux of a Vector Field -- Orientation of a Surface -- Differential Forms -- Integration on Surfaces -- Surfaces with Boundary -- The General Stokes's Theorem -- Solved Exercises
Summary
Annotation 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 a bridge between pure and applied mathematics by building a formal rigorous development of the topic and following this through to applications in two and three variables
Analysis
Mathematics
Global analysis
Global differential geometry
Global Analysis and Analysis on Manifolds
Differential Geometry
Mathematical Applications in the Physical Sciences
