Advanced Calculus —— Differential Calculus and Stokes' Theorem

----- 高等微积分：微积分和斯托克斯定理

ISBN: 9783110438215 出版年：2016 页码：314 Buono, Pietro-Luciano De Gruyter

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 FunctionsTangent Spaces and 1-formsLine IntegralsDifferential Calculus of MappingsApplications of Differential CalculusDouble and Triple IntegralsWedge Products and Exterior DerivativesIntegration of FormsStokes’ Theorem and Applications