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).
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2013 Springer Basel
About this chapter
Cite this chapter
Kriz, I., Pultr, A. (2013). Line Integrals and Green’s Theorem. In: Introduction to Mathematical Analysis. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-0636-7_8
Download citation
DOI: https://doi.org/10.1007/978-3-0348-0636-7_8
Published:
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-0635-0
Online ISBN: 978-3-0348-0636-7
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)