Vector Calculus (Applied Mathematics & Computing Science S.) - Tapa dura

This textbook is an introduction to the differential and integral calculus of functions of several variables for students wanting more than a superficial account of the subject. The treatment is rigorous, but the authors go to some pains to give readable proofs to the classical theorems of vector calculus, including the Inverse Function Theorem, the Implicit Function Theorem, and the integration theorems of Green, Stokes, and Gauss.