Advanced Calculus: Differential Calculus and Stokes' Theorem

Advanced Calculus: Differential Calculus and Stokes' Theorem
ISBN-10
3110438224
ISBN-13
9783110438222
Series
Advanced Calculus
Category
Mathematics
Pages
313
Language
English
Published
2016-09-12
Publisher
Walter de Gruyter GmbH & Co KG
Author
Pietro-Luciano Buono

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

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