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Highlights in the History of Number Theory: 1700 BC– 2008

  • Israel Kleiner
Chapter

Abstract

Number theory, the study of the properties of the positive integers, which broadened in the nineteenth century to include other types of “integers,” is one of the oldest branches of mathematics. It has fascinated both amateurs and mathematicians throughout the ages. The subject is tangible, the results are usually simple to state and to understand, and are often suggested by numerical examples. Nevertheless, they are frequently very difficult to prove. “It is just this,” said Gauss, one of the greatest mathematicians of all time, “which gives number theory that magical charm that has made it the favorite science of the greatest mathematicians.”

Keywords

Number Theory Elliptic Curf Diophantine Equation Quadratic Domain Analytic Number Theory 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media, LLC 2012

Authors and Affiliations

  1. 1.Department of Mathematics and StatisticsYork UniversityTorontoCanada

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