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.
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© 2013 Springer Basel
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Kriz, I., Pultr, A. (2013). Smooth Manifolds, Differential Forms and Stokes’ Theorem. In: Introduction to Mathematical Analysis. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-0636-7_12
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DOI: https://doi.org/10.1007/978-3-0348-0636-7_12
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Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-0635-0
Online ISBN: 978-3-0348-0636-7
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