Line Integrals and Green’s 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 8 in Introduction to Mathematical Analysis, 2013, pp 193-210 from Springer

Abstract: Abstract In this chapter, we introduce the line integral and prove Green’s Theorem which relates a line integral over a closed curve (or curves) in $${\mathbb{R}}^{2}$$ to the ordinary integral of a certain quantity over the region enclosed by the curve(s).

Keywords: Equivalence Class; Complex Line; Line Integral; Smooth Partition; Unity Subordinate (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_8

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DOI: 10.1007/978-3-0348-0636-7_8

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