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    3. Advanced Calculus : Differential Calculus and Stokes' Theorem

    Advanced Calculus : Differential Calculus and Stokes' Theorem

    Posted By: readerXXI
    Date: 4 Jul 2018 20:28:40
    Advanced Calculus : Differential Calculus and Stokes' Theorem

    Advanced Calculus : Differential Calculus and Stokes' Theorem
    by Pietro-Luciano Buono
    English | 2016 | ISBN: 3110438216 | 303 Pages | ePUB | 45 MB

    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

    "The characteristic features of the book are the abundance of worked examples, illustrated by nicely drawn suggestive gures and the excellent layout […]. There are also exercises at the end of each section. The book is clearly written, in a pleasant style, and can be recommended as a textbook for advanced calculus courses." - Tiberiu Trif in: Stud. Univ. Babes-Bolyai Math. 62 (2017), 2, S. 269-271

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