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Advanced Calculus - Pietro-Luciano Buono
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Title
Advanced Calculus - Differential Calculus and Stokes' Theorem
Advanced Calculus - Differential Calculus and Stokes' Theorem
Author
Pietro-Luciano Buono
Pietro-Luciano Buono
format
Paperback / softback
Paperback / softback
Publisher
De Gruyter
De Gruyter
Language
English
English
UK Publication Date
20160912
20160912
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 FunctionsTangent Spaces and 1-formsLine IntegralsDifferential Calculus of MappingsApplications of Differential CalculusDouble and Triple IntegralsWedge Products and Exterior DerivativesIntegration of FormsStokes' Theorem and Applications
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