ENGLISH

Advanced Calculus: Differential Calculus and Stokes' Theorem

By Pietro-Luciano Buono

Book information

Publisher
de Gruyter
Year
2016
ISBN
9783110438222, 9783110438215
Language
english
Format
EPUB
Filesize
46 MB (47888606 bytes)
Pages
313\0
Time added
2023-05-30 13:59:43

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 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.

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