About: Classic Fourier Series
Metadata
| Name: | Classic Fourier Series |
| ID: | m0039 |
| Language: | English (en) |
| Summary: | Signals can be composed by a superposition of an infinite number of sine and cosine functions. The coefficients of the superposition depend on the signal being represented and are equivalent to knowing the function itself. |
| Subject: | Mathematics and Statistics |
| Keywords: | Euler, Fourier coefficients, Fourier series, frequency, Gauss, orthogonality, sinusoid, square wave |
| Document Type: | -//CNX//DTD CNXML 0.5 plus MathML//EN |
| License: | Creative Commons Attribution License (CC-BY 1.0) |
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| Authors: | Don Johnson (dhj@rice.edu) |
| Copyright Holders: | Don Johnson (dhj@rice.edu) |
| Maintainers: | Don Johnson (dhj@rice.edu), Roy Ha (rha@alumni.rice.edu), Benjamin Fite (bfite@rice.edu) |
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| Version: | 2.22 (history) |
| Created: | Jul 21, 2000 12:00 am GMT-5 |
| Revised: | Aug 5, 2008 10:58 am GMT-5 |
Version History
| Version: | 2.22 Aug 5, 2008 10:58 am GMT-5 by Don Johnson |
| Changes: | Fixed some formatting errors. |
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| Version: | 2.21 Aug 4, 2008 5:00 pm GMT-5 by Don Johnson |
| Changes: | Rewrote now that module follows the one on complex Fourier series. |
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| Version: | 2.20 Apr 18, 2005 3:23 pm GMT-5 by Charlet Reedstrom |
| Changes: | update to cnxml-0.5, fix typo, mi to mn where needed |
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| Version: | 2.19 Aug 17, 2004 10:07 pm GMT-5 by Brent Hendricks |
| Changes: | - Removed Makefile, fixed equation error |
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| Version: | 2.18 Jul 14, 2004 5:04 pm GMT-5 by Don Johnson |
| Changes: | Fixed error on integral of square of a sinusoid. |
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| Version: | 2.17 Oct 2, 2003 4:12 pm GMT-5 by Don Johnson |
| Changes: | Fixed a math error. |
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| Version: | 2.16 Jul 31, 2003 9:56 pm GMT-5 by Don Johnson |
| Changes: | Fixed bounding variable markup error. |
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| Version: | 2.15 Aug 8, 2002 12:00 am GMT-5 by (Unknown) |
| Changes: | Revised extensively. |
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| Version: | 2.14 Jun 26, 2002 12:00 am GMT-5 by (Unknown) |
| Changes: | updated module |
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| Version: | 2.13 Mar 6, 2002 12:00 am US/Central by (Unknown) |
| Changes: | edited math - one equation is too long for hardcopy |
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| Version: | 2.12 Sep 24, 2001 12:00 am GMT-5 by (Unknown) |
| Changes: | Fixed typo before eq. 109 and a typo in eq. 113. |
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| Version: | 2.11 Sep 11, 2001 12:00 am GMT-5 by Brent Hendricks |
| Changes: | Converted to CNXML 0.3.5 |
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| Version: | 2.10 Aug 24, 2001 12:00 am GMT-5 by (Unknown) |
| Changes: | - fix subscripts |
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| Version: | 2.9 Aug 24, 2001 12:00 am GMT-5 by (Unknown) |
| Changes: | Changed <m:and/> to <m:mo>and</m:mo> (Jenn). |
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| Version: | 2.8 Aug 24, 2001 12:00 am GMT-5 by (Unknown) |
| Changes: | Changed keywords. |
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| Version: | 2.7 Aug 23, 2001 12:00 am GMT-5 by (Unknown) |
| Changes: | fixed punctuation whitespace errors |
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| Version: | 2.6 Aug 20, 2001 12:00 am GMT-5 by (Unknown) |
| Changes: | I re-uploaded the image files and their corresponding eps files. |
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| Version: | 2.5 Aug 15, 2001 12:00 am GMT-5 by (Unknown) |
| Changes: | - Change m:pi to π - Surround pi with m:cn |
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| Version: | 2.4 Aug 15, 2001 12:00 am GMT-5 by (Unknown) |
| Changes: | - Fixed some s/mi/ci problems |
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| Version: | 2.3 Jul 17, 2001 12:00 am GMT-5 by (Unknown) |
| Changes: | Remodularized, some minor fixes. |
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| Version: | 2.2 May 30, 2001 12:00 am GMT-5 by (Unknown) |
| Changes: | Updated abstract and put multi-word keywords in correct order |
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| Version: | 2.1 May 24, 2001 12:00 am GMT-5 by (Unknown) |
| Changes: | Updated module to cnxml ver. 0.3 |
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| Version: | 2.0 Aug 9, 2000 12:00 am GMT-5 by Brent Hendricks |
| Changes: | Bumped version to 2.0 |
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How to Cite and Attribute This Content
The following citation styles comply with the attribution requirements for the license (CC-BY 1.0) of this work:
American Chemical Society (ACS) Style Guide:
Johnson, D. Classic Fourier Series, Connexions Web site. http://cnx.org/content/m0039/2.22/, Aug 5, 2008.
American Medical Assocation (AMA) Manual of Style:
Johnson D. Classic Fourier Series [Connexions Web site]. August 5, 2008. Available at: http://cnx.org/content/m0039/2.22/.
American Psychological Assocation (APA) Publication Manual:
Johnson, D. (2008, August 5). Classic Fourier Series. Retrieved from the Connexions Web site: http://cnx.org/content/m0039/2.22/
Chicago Manual of Style (Bibliography):
Johnson, Don. "Classic Fourier Series." Connexions. August 5, 2008. http://cnx.org/content/m0039/2.22/.
Chicago Manual of Style (Note):
Don Johnson, "Classic Fourier Series," Connexions, August 5, 2008, http://cnx.org/content/m0039/2.22/.
Chicago Manual of Style (Reference, in Author-Date style):
Johnson, D. 2008. Classic Fourier Series. Connexions, August 5, 2008. http://cnx.org/content/m0039/2.22/.
Modern Languages Association (MLA) Style Manual:
Johnson, Don. Classic Fourier Series. Connexions. 5 Aug. 2008 <http://cnx.org/content/m0039/2.22/>.
Footer
More about this content: Metadata | Version History
This work is licensed by Don Johnson under a Creative Commons Attribution License (CC-BY 1.0).
Last edited by Don Johnson on Aug 5, 2008 10:58 am GMT-5.