Abstract
Differential forms are to be integrated. We will do that soon (Chapter 4) after some preliminaries on the natural “habitat” of differential forms (Chapter 3). However, the special case of integration of forms of degree one along curves (the so called line integrals) is so simple that it can be treated independently of the general theory. We will do that in this chapter.
This chapter is not used in the rest of the book and can be omitted on a first reading.
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© 1994 Springer-Verlag Berlin Heidelberg
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do Carmo, M.P. (1994). Line Integrals. In: Differential Forms and Applications. Universitext. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-57951-6_2
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DOI: https://doi.org/10.1007/978-3-642-57951-6_2
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-57618-1
Online ISBN: 978-3-642-57951-6
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