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What is Differential Forms and Integrals Guide about?

This document provides a preliminary version of a textbook on differential forms and their integrals. It begins with a review of basic vector calculus concepts like differentiable functions, integration, and vector fields. It then covers differential forms, the de Rham cohomology, integration of singular chains and the Stokes theorem, and introduces manifolds. The remaining chapters discuss de Rham cohomology and integration on manifolds, the Hodge theorem relating harmonic forms to topology, and applicatio

Author

Harold Rojas Aguilar

Language

EN