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Advanced Calculus: Differential Calculus and Stokes' Theorem De Gruyter Textbook | 1 Edition

Author: Buono, Pietro-Luciano

ISBN:3110438216
ISBN-13: 9783110438215

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Details about Advanced Calculus: Differential Calculus and Stokes' Theorem De Gruyter Textbook:

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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