Advanced Calculus: Differential Calculus and Stokes'...

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Advanced Calculus: Differential Calculus and Stokes' Theorem

Pietro-Luciano Buono
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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



  • Numerous figures allow for easy-to-grasp explanations of the mathematical concepts.

  • Differential forms are used throughout the book to motivate vector calculus.

  • Includes the necessary material from linear algebra, set theory & basic topology.
İl:
2016
Nəşriyyat:
De Gruyter
Dil:
english
Səhifələr:
313
ISBN 10:
3110438224
ISBN 13:
9783110438222
Fayl:
PDF, 11.33 MB
IPFS:
CID , CID Blake2b
english, 2016
Yüklə (pdf, 11.33 MB)
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