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Advanced Calculus: Differential Calculus and Stokes' Theorem
Paperback
Series: de Gruyter Textbook
CalculusGeneral MathematicsGeometry
Publisher Price: $66.99
ISBN13: 9783110438215
Publisher: De Gruyter
Published: Sep 12 2016
Pages: 313
Weight: 1.11
Height: 0.66 Width: 6.69 Depth: 9.61
Language: English
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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