Devoted to differential forms and their applications in various areas of mathematics and physics, this introductory textbook has plenty of examples and originated from courses on geometry and analysis. It presents a widely used mathematical technique in a lucid and readable style, introducing readers to the world of differential forms while covering relevant topics from analysis, differential geometry and mathematical physics.

Suitable for students in mathematics, physics, engineering, and computer science, this book explores contemporary approximation theory. It covers such topics as projections, interpolation paradigms, positive definite functions, interpolation theorems of Schoenberg and Micchelli, tomography, artificial neural networks, and thin-plate splines.

Offers a geometric introduction to the homology of topological spaces and the cohomology of smooth manifolds. This title introduces a class of stratified spaces, so-called stratifolds. It derives basic concepts from differential topology such as Sard's the