Advanced calculus : differential calculus and Stokes' theorem

著者

    • Buono, Pietro-Luciano

書誌事項

Advanced calculus : differential calculus and Stokes' theorem

Pietro-Luciano Buono

(De Gruyter textbook)

De Gruyter, c2016

  • : [pbk.]

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注記

Includes bibliographical references (p. [299]) and index

内容説明・目次

内容説明

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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