Advanced Calculus: Differential Calculus and Stokes' Theorem (de Gruyter Textbook) (Paperback)

Advanced Calculus: Differential Calculus and Stokes' Theorem (de Gruyter Textbook) By Pietro-Luciano Buono Cover Image

Advanced Calculus: Differential Calculus and Stokes' Theorem (de Gruyter Textbook) (Paperback)

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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.
Product Details ISBN: 9783110438215
ISBN-10: 3110438216
Publisher: de Gruyter
Publication Date: September 12th, 2016
Pages: 313
Language: English
Series: de Gruyter Textbook