Advanced calculus : differential calculus and Stokes' theorem
Author(s)
Bibliographic Information
Advanced calculus : differential calculus and Stokes' theorem
(De Gruyter textbook)
De Gruyter, c2016
- : [pbk.]
Available at / 1 libraries
-
No Libraries matched.
- Remove all filters.
Note
Includes bibliographical references (p. [299]) and index
Description and Table of Contents
Description
This textbook offers a high-level introduction to multi-variable differential calculus. Differential forms are introduced incrementally in the narrative, eventually leading to a unified treatment of Green's, Stokes' and Gauss' theorems. Furthermore, the presentation offers a natural route to differential geometry.
Contents:
Calculus of Vector Functions
Tangent Spaces and 1-forms
Line Integrals
Differential Calculus of Mappings
Applications of Differential Calculus
Double and Triple Integrals
Wedge Products and Exterior Derivatives
Integration of Forms
Stokes' Theorem and Applications
by "Nielsen BookData"