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About: Integration Over Smooth Curves in the Plane: Smooth Curves in the Plane

Module by: Lawrence Baggett. E-mail the author

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Name: Integration Over Smooth Curves in the Plane: Smooth Curves in the Plane
ID: m36225
Language: English (en)
Summary: Our first project is to make a satisfactory definition of a smooth curve in the plane, for there is a good bit of subtlety to such a definition. In fact, the material in this chapter is all surprisingly tricky, and the proofs are good solid analytical arguments, with lots of ϵϵ's and references to earlier theorems.
Subject: Mathematics and Statistics
Keywords: mean value theorem, peano curve, piecewise smooth curve, unit tangent
License: Creative Commons Attribution License CC-BY 3.0

Authors: Lawrence Baggett (lawrence.baggett@colorado.edu)
Copyright Holders: Lawrence Baggett (lawrence.baggett@colorado.edu)
Maintainers: Lawrence Baggett (lawrence.baggett@colorado.edu), Daniel Williamson (dcwill@cnx.org), Jared Adler (jca2@rice.edu)

Latest version: 1.2 (history)
First publication date: Oct 5, 2010 2:45 pm -0500
Last revision to module: Dec 9, 2010 4:55 pm -0600

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Version History

Version: 1.2 Dec 9, 2010 4:55 pm -0600 by Jared Adler
Changes:
links, summary added

Version: 1.1 Nov 25, 2010 8:43 am -0600 by Jared Adler
Changes:
initial publish

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American Chemical Society (ACS) Style Guide:

Baggett, L. Integration Over Smooth Curves in the Plane: Smooth Curves in the Plane, OpenStax-CNX Web site. http://cnx.org/content/m36225/1.2/, Dec 9, 2010.

American Medical Assocation (AMA) Manual of Style:

Baggett L. Integration Over Smooth Curves in the Plane: Smooth Curves in the Plane [OpenStax-CNX Web site]. December 9, 2010. Available at: http://cnx.org/content/m36225/1.2/.

American Psychological Assocation (APA) Publication Manual:

Baggett, L. (2010, December 9). Integration Over Smooth Curves in the Plane: Smooth Curves in the Plane. Retrieved from the OpenStax-CNX Web site: http://cnx.org/content/m36225/1.2/

Chicago Manual of Style (Bibliography):

Baggett, Lawrence. "Integration Over Smooth Curves in the Plane: Smooth Curves in the Plane." OpenStax-CNX. December 9, 2010. http://cnx.org/content/m36225/1.2/.

Chicago Manual of Style (Note):

Lawrence Baggett, "Integration Over Smooth Curves in the Plane: Smooth Curves in the Plane," OpenStax-CNX, December 9, 2010, http://cnx.org/content/m36225/1.2/.

Chicago Manual of Style (Reference, in Author-Date style):

Baggett, L. 2010. Integration Over Smooth Curves in the Plane: Smooth Curves in the Plane. OpenStax-CNX, December 9, 2010. http://cnx.org/content/m36225/1.2/.

Modern Languages Association (MLA) Style Manual:

Baggett, Lawrence. Integration Over Smooth Curves in the Plane: Smooth Curves in the Plane. OpenStax-CNX. 9 Dec. 2010 <http://cnx.org/content/m36225/1.2/>.