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Complex Numbers
| Name: | Complex Numbers |
| ID: | m0081 |
| Language: | English (en) |
| Summary: | |
| Subject: | Mathematics and Statistics |
| Keywords: | angle of complex number, Cartesian form, complex number, imaginary number, imaginary part, magnitude of complex number, polar form |
| 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), Joe Montgomery (montgom@rice.edu), John Cottrell (jac3@rice.edu) |
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| Latest version: | 2.27 (history) |
| First publication date: | Aug 2, 2000 12:00 am -0500 |
| Last revision to module: | Aug 9, 2008 6:22 pm -0500 |
| PDF: | m0081_2.27.pdf | PDF file, for viewing content offline and printing. Learn more. |
| EPUB: | m0081_2.27.epub | Electronic publication file, for viewing in handheld devices. Learn more. |
| XML: | m0081_2.27.cnxml | XML that defines the structure and contents of the module, minus any included media files. Can be reimported in the editing interface. Learn more. |
| Source Export ZIP: | m0081_2.27.zip | ZIP containing the module XML plus any included media files. Can be reimported in the editing interface. Learn more. |
| Offline ZIP: | m0081_2.27_offline.zip | An offline HTML copy of the content. Also includes XML, included media files, and other support files. Learn more. |
| Version: | 2.29 May 15, 2013 7:41 pm -0500 by Don Johnson |
| Changes: | Fixed minor typos. |
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| Version: | 2.28 Jan 27, 2013 12:51 pm -0600 by Don Johnson |
| Changes: | Fixed an error in an expression. |
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| Version: | 2.27 Aug 9, 2008 6:22 pm -0500 by Don Johnson Currently viewing this version. |
| Changes: | Improved the presentation of complex division. |
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| Version: | 2.26 Aug 8, 2008 3:01 pm -0500 by Don Johnson |
| Changes: | Changed the prose concerning j. |
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| Version: | 2.25 Aug 2, 2008 11:40 am -0500 by Don Johnson |
| Changes: | Added a beginning segue. |
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| Version: | 2.24 Jul 30, 2008 5:30 pm -0500 by Don Johnson |
| Changes: | Rearranged groups of equations into tables. |
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| Version: | 2.23 Jul 28, 2008 4:02 pm -0500 by Don Johnson |
| Changes: | Fixed a minor spelling error. |
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| Version: | 2.22 Aug 9, 2007 9:39 am -0500 by Don Johnson |
| Changes: | Rewrote the entire module to improve the presentation and added more problems. |
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| Version: | 2.21 Jun 3, 2007 11:17 pm -0500 by Don Johnson |
| Changes: | Fixed a minor formatting problem. |
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| Version: | 2.20 Apr 12, 2005 4:32 pm -0500 by Charlet Reedstrom |
| Changes: | update to cnxml-0.5, fix typos, update mathml |
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| Version: | 2.19 Aug 26, 2002 12:00 am -0500 by (Unknown) |
| Changes: | Fixed error: hd i^3=-1 and correct to be i^3=-i. |
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| Version: | 2.18 Aug 17, 2002 12:00 am -0500 by (Unknown) |
| Changes: | Reordered a math display. |
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| Version: | 2.17 Aug 13, 2002 12:00 am -0500 by (Unknown) |
| Changes: | Upgraded to 0.4. |
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| Version: | 2.16 Aug 5, 2002 12:00 am -0500 by (Unknown) |
| Changes: | Fixed minor typos. |
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| Version: | 2.15 May 28, 2002 12:00 am -0500 by (Unknown) |
| Changes: | Added link to the complex plane. |
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| Version: | 2.14 Apr 19, 2002 12:00 am -0500 by (Unknown) |
| Changes: | changed a lot of presentation math to content, js to imaginaryi, superscript * to conjugate etc |
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| Version: | 2.13 Sep 11, 2001 12:00 am -0500 by Brent Hendricks |
| Changes: | Converted to CNXML 0.3.5 |
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| Version: | 2.12 Aug 27, 2001 12:00 am -0500 by (Unknown) |
| Changes: | - added missing exercise at the end |
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| Version: | 2.11 Aug 24, 2001 12:00 am -0500 by (Unknown) |
| Changes: | Changed all the subscript errors. -erin |
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| Version: | 2.10 Aug 24, 2001 12:00 am -0500 by (Unknown) |
| Changes: | i changed an equation so it would be right. -erin |
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| Version: | 2.9 Aug 24, 2001 12:00 am -0500 by (Unknown) |
| Changes: | Changed keywords. |
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| Version: | 2.8 Aug 23, 2001 12:00 am -0500 by (Unknown) |
| Changes: | no changes |
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| Version: | 2.7 Aug 23, 2001 12:00 am -0500 by (Unknown) |
| Changes: | I changed the math for real and imaginary numbers so they are actually recognized as entities. |
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| Version: | 2.6 Aug 22, 2001 12:00 am -0500 by (Unknown) |
| Changes: | correcting some math errors. |
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| Version: | 2.5 Jul 17, 2001 12:00 am -0500 by (Unknown) |
| Changes: | added keywords made John Cottrell a maintainer fixed minor errors |
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| Version: | 2.4 Jun 5, 2001 12:00 am -0500 by (Unknown) |
| Changes: | Fixed emphasis, added an abstract, fixed the display of some equations. |
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| Version: | 2.3 Jun 4, 2001 12:00 am -0500 by (Unknown) |
| Changes: | Upgraded to cnxml version 0.3 |
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| Version: | 2.2 May 30, 2001 12:00 am -0500 by (Unknown) |
| Changes: | Just getting rid of the "C" |
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| Version: | 2.1 May 29, 2001 12:00 am -0500 by (Unknown) |
| Changes: | Upgraded to cnxml version 0.3 |
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| Version: | 2.0 Aug 17, 2000 12:00 am -0500 by Brent Hendricks |
| Changes: | Bumped version to 2.0 |
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If you reuse this work elsewhere, in order to comply with the attribution requirements of the license (CC-BY 1.0), you must include
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The following citation styles comply with the attribution requirements for the license (CC-BY 1.0) of this work:
Johnson, D. Complex Numbers, Connexions Web site. http://cnx.org/content/m0081/2.27/, Aug 9, 2008.
Johnson D. Complex Numbers [Connexions Web site]. August 9, 2008. Available at: http://cnx.org/content/m0081/2.27/.
Johnson, D. (2008, August 9). Complex Numbers. Retrieved from the Connexions Web site: http://cnx.org/content/m0081/2.27/
Johnson, Don. "Complex Numbers." Connexions. August 9, 2008. http://cnx.org/content/m0081/2.27/.
Don Johnson, "Complex Numbers," Connexions, August 9, 2008, http://cnx.org/content/m0081/2.27/.
Johnson, D. 2008. Complex Numbers. Connexions, August 9, 2008. http://cnx.org/content/m0081/2.27/.
Johnson, Don. Complex Numbers. Connexions. 9 Aug. 2008 <http://cnx.org/content/m0081/2.27/>.