Gaussian Integer

Pronunciation: /gaʊs i n ˈɪn tɪ dʒər/ ?

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. (Accessed: 2010-02-05). integer.
  2. Carl Gauss. Disquisitiones Arithmeticae. translated by Arthur A. Clarke. Yale University Press, September 4, 2009.
  3. Niven, Ivan and Zuckerman, Herbert S.. An Introduction to the Theory of Numbers, 3rd ed., pp 202-203. (Accessed: 2010-02-05).
  4. Richard Dedekind. Theory of Algebraic Integers. translated by John Stillwell. Cambridge University Press, September 28, 1996.

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. 2010-02-05.

Printed Resources

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Gaussian Integer. 2010-02-05. All Math Words Encyclopedia. Life is a Story Problem LLC.


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2010-02-05: Added "References" (McAdams, David.)
2009-04-18: Initial version (McAdams, David.)

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