Number theory

Traditionally, number theory is that branch of pure mathematics concerned with the properties of integers. It contains many results and open problems that are easily understood, even by non-mathematicians. More generally, the field has come to be concerned with wider classes of problems that have arisen naturally from the study of integers. Number theory may be subdivided into several fields, according to the methods used and the type of questions investigated. See for example the list of number theory topics. Mathematicians working in the field of number theory are called number theorists.

References

• {{Book reference | Author=Dedekind, Richard | Title=Essays on the Theory of Numbers | Publisher=Cambridge University Press | Year=1963 | ID=ISBN 0-486-21010-3}}
• {{Book reference | Author=Davenport, Harold | Title=The Higher Arithmetic: An Introduction to the Theory of Numbers (7th ed.) | Publisher=Cambridge University Press | Year=1999 | ID=ISBN 0521634466}}
• {{Book reference | Author=Guy, Richard K. | Title=Unsolved Problems in Number Theory | Publisher=Springer-Verlag | Year=1981 | ID=ISBN 0-387-90593-6}}
• {{Book reference | Author=Hardy, G. H. and Wright, E. M. | Title=An Introduction to the Theory of Numbers (5th ed.) | Publisher=Oxford University Press | Year=1980 | ID=ISBN 0198531710}}
• {{Book reference | Author=Niven, Ivans Herbert S. Zuckermans and Hugh L. Montgomery | Title=An Introduction to the Theory of Numbers (5th ed.) | Publisher=Wiley Text Books | Year=1991 | ID=ISBN 0471625469}}
• {{Book reference | Author=Ore, Oystein | Title=Number Theory and Its History | Publisher=Dover Publications, Inc. | Year=1948 | ID=ISBN 0-486-65620-9}}
• Smith, David. History of Modern Mathematics (1906) (adapted public domain text)
• Important publications in number theory