Graduate Studies in Mathematics Ser.: Global Analysis : Differential Forms in Analysis, Geometry and Physics by Ilka Agricola and Thomas Friedrich (2002, Hardcover)
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ISBN-13: 9780821829516, 978-0821829516. The book begins with a self-contained introduction to the calculus of differential forms in Euclidean space and on manifolds. Next, the focus is on Stokes' theorem, the classical integral formulas and their applications to harmonic functions and topology.