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. Gaussian integer. Encyclopedia Britannica. Merriam-Webster. Last Accessed 8/6/2018. integer.
  2. Carl Gauss. Disquisitiones Arithmeticae. Translated by Arthur A. Clarke. Yale University Press. September 4, 2009. Buy the book
  3. Niven, Ivan and Zuckerman, Herbert S.. An Introduction to the Theory of Numbers. 3rd edition. pp 202-203. John Wiley & Sons, Inc.. Last Accessed 8/6/2018. Buy the book
  4. Richard Dedekind. Theory of Algebraic Integers. Translated by John Stillwell. Cambridge University Press. September 28, 1996. 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. 7/11/2018. All Math Words Encyclopedia. Life is a Story Problem LLC.

Revision History

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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