Advanced Calculus by Pietro-Luciano Buono

Advanced Calculus by Pietro-Luciano Buono

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Summary

This textbook offers a high-level introduction to multi-variable differential calculus. By introducing differential forms early as a basic concept, the structures behind Stokes' and Gauss' theorems become much clearer. Furthermore, it offers a natural route to differential geometry.

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Advanced Calculus by Pietro-Luciano Buono

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.

SKU Unavailable
ISBN 13 9783110438215
ISBN 10 3110438216
Title Advanced Calculus
Author Pietro-Luciano Buono
Series De Gruyter Textbook
Condition Unavailable
Binding Type Paperback
Publisher De Gruyter
Year published 2016-09-12
Number of pages 313
Cover note Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
Note Unavailable