Gaussian Integer

Pronunciation: /gaʊs.i.n ˈɪn.tɪ.dʒər/ Explain

A Gaussian integer is a complex number a+bi where a and b are integers.

Gaussian integers are named after Carl Gauss, a German mathematician.


  1. McAdams, David E.. All Math Words Dictionary, gaussian integer. 2nd Classroom edition 20150108-4799968. pg 84. Life is a Story Problem LLC. January 8, 2015. Buy the book
  2. Gaussian integer. Encyclopedia Britannica. Merriam-Webster. Last Accessed 7/11/2018. integer. Buy the book
  3. Carl Gauss. Disquisitiones Arithmeticae. Translated by Arthur A. Clarke. Yale University Press. September 4, 2009. Last Accessed 7/11/2018. Buy the book
  4. Niven, Ivan and Zuckerman, Herbert S.. An Introduction to the Theory of Numbers. 3rd edition. pp 202-203. John Wiley & Sons, Inc.. Last Accessed 7/11/2018. Buy the book
  5. Richard Dedekind. Theory of Algebraic Integers. Translated by John Stillwell. Cambridge University Press. September 28, 1996. Last Accessed 7/11/2018. Buy the book

More Information

  • J J O'Connor and E F Robertson. Johann Carl Friedrich Gauss. The MacTutor History of Mathematics archive. School of Mathematics University of St Andrews. 2/5/2010.

Cite this article as:

McAdams, David E. Gaussian Integer. 12/21/2018. All Math Words Encyclopedia. Life is a Story Problem LLC.

Revision History

12/21/2018: Reviewed and corrected IPA pronunication. (McAdams, David E.)
7/10/2018: Removed broken links, updated license, implemented new markup, implemented new Geogebra protocol. (McAdams, David E.)
2/5/2010: Added "References". (McAdams, David E.)
4/18/2009: Initial version. (McAdams, David E.)

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