Vektoranalysis. Mit 110 Figuren, 120 Testfragen und 52 Übungsaufgaben (Q5905598)

The present book is a marvellous introduction into the modern theory of manifolds and differential forms. The undergraduate student can closely examine tangent spaces, basic concepts of differential forms, integration on manifolds, Stokes theorem, de Rham-cohomology theorem, differential forms on Riemannian manifolds, elements of the theory of differential equations on manifolds (Laplace-Beltrami operators). Each chapter contains useful exercises for the students. 110 Figures make easier the learning of basic notions and theorems.