Advanced Calculus: Differential Calculus and Stokes' Theorem
Pietro-Luciano BuonoThis 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
- Numerous figures allow for easy-to-grasp explanations of the mathematical concepts.
- Differential forms are used throughout the book to motivate vector calculus.
- Includes the necessary material from linear algebra, set theory & basic topology.
Anno:
2016
Casa editrice:
De Gruyter
Lingua:
english
Pagine:
313
ISBN 10:
3110438224
ISBN 13:
9783110438222
File:
PDF, 11.33 MB
IPFS:
,
english, 2016