Generalized Stokes' Theorem

Author First name, Last name, Institution

Jon Pierre Fortney

Document Type

Book Chapter

Source of Publication

A Visual Introduction to Differential Forms and Calculus on Manifolds

Publication Date

11-4-2018

Abstract

The generalized version of Stokes' theorem, henceforth simply called Stokes' theorem, is an extraordinarily powerful and useful tool in mathematics. We have already encountered it in Sect. 9.5 where we found a common way of writing the fundamental theorem of line integrals, the vector calculus version of Stokes' theorem, and the divergence theorem as ∫M dα =∫∂M α. More precisely Stokes' theorem can be stated as follows.

DOI Link

10.1007/978-3-319-96992-3_11

Publisher

Springer International Publishing

First Page

337

Last Page

367

Disciplines

Physical Sciences and Mathematics

Recommended Citation

Fortney, Jon Pierre, "Generalized Stokes' Theorem" (2018). All Works. 1770.
https://zuscholars.zu.ac.ae/works/1770

Indexed in Scopus

no

Open Access

no