Advanced Calculus : Differential Calculus and Stokes’ Theorem

Advanced Calculus : Differential Calculus and Stokes’ Theorem

English | 2016 | ISBN: 3110438216 | 303 Pages | ePUB | 45 MB
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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