Advanced Calculus
Differential Calculus and Stokes' Theorem| By: | Pietro-Luciano Buono |
| Publisher: | De Gruyter |
| Print ISBN: | 9783110438215 |
| eText ISBN: | 9783110429114 |
| Edition: | 1 |
| Copyright: | 2016 |
| Format: | Reflowable |
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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