Advanced Calculus: Differential Calculus and Stokes' Theorem
Pietro-Luciano Buono
sep. 2016 · Walter de Gruyter GmbH & Co KG
E-knjiga
313
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O tej e-knjigi
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
O avtorju
Pietro-Luciano Buono, University of Ontario Institute of Technology, Canada.
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