Advanced Calculus
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Product details
- ISBN 9783110438215
- Weight: 599g
- Dimensions: 170 x 240mm
- Publication Date: 12 Sep 2016
- Publisher: De Gruyter
- Publication City/Country: DE
- Product Form: Paperback
- Language: English
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
Pietro-Luciano Buono, University of Ontario Institute of Technology, Canada.
