Smooth Manifolds, Differential Forms and Stokes’ Theorem

Igor Kriz and Aleš Pultr
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Igor Kriz: University of Michigan, Department of Mathematics
Aleš Pultr: Charles University, Department of Applied Mathematics (KAM) Faculty of Mathematics and Physics

Chapter 12 in Introduction to Mathematical Analysis, 2013, pp 287-310 from Springer

Abstract: Abstract In this chapter, we will introduce smooth manifolds (“locally Euclidean spaces”). A theory of differential forms, which we will exhibit, allows us to set up a general theory of integration on such spaces, and to generalize Green’s Theorem in Chapter 8 to the general Stokes Theorem in arbitrary dimension.

Keywords: Open Subset; Tangent Vector; Differential Form; Open Cover; Smooth Manifold (search for similar items in EconPapers)
Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-0348-0636-7_12

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DOI: 10.1007/978-3-0348-0636-7_12

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