Drexel dragonThe Math ForumDonate to the Math Forum

The Math Forum Internet Mathematics Library

Waring Experiments

_____________________________________
Library Home || Full Table of Contents || Suggest a Link || Library Help
_____________________________________

Visit this site: http://www.maa.org/mathland/mathland_7_15.html

Author:Ivars Peterson (MathLand)
Description: You might suspect that, at some point, four squares would no longer be enough to express a given whole number. This reasonable supposition was overturned in seventeenth century, when Pierre de Fermat proved that every positive whole number can be expressed as a sum of at most four squares. In 1777, Edward Waring, a practicing physician and mathematics professor at the University of Cambridge, conjectured that something similar could be proved for cubes, fourth powers, and so on. He stated, without proof, that it would take the sum of at most 9 cubes or 19 fourth powers to express any whole number.

Levels: High School (9-12), College
Languages: English
Resource Types: Publications
Math Topics: History and Biography, Number Theory

[Privacy Policy] [Terms of Use]

_____________________________________
Home || The Math Library || Quick Reference || Search || Help
_____________________________________

© 1994-2014 Drexel University. All rights reserved.
http://mathforum.org/
The Math Forum is a research and educational enterprise of the Goodwin College of Professional Studies.The Math Forum is a research and educational enterprise of the Drexel University School of Education.