What is Number theory?
'''Number theory''' is a part of [[mathematics]]. It explains what some types of [[number]]s are, what [[properties]] they have, and ways that they can be useful. Topics in number theory are: * [[Prime number]]s * [[Factorization]] * [[Matrix (mathematics)|Matrix]] Important [[theorem]]s in number theory are: * [[Chinese remainder theorem]] * [[Fundamental theorem of arithmetic]] * [[Fermat's last theorem]] * [[Fermat's little theorem]] == Applications == A well-known application of number theory is encrypted messaging ([[encryption]]). [[Data compression]] also makes use of the field. ==Further reading== * G.H. Hardy; E.M. Wright (2008) [1938]. An introduction to the theory of numbers. [[Oxford University Press]]. ISBN 978-0-19-921986-5. * Vinogradov, I.M. (2003) [1954]. Elements of Number Theory (reprint o 1954 ed.). Mineola, NY: Dover Publications. * Ivan M. Niven; Herbert S. Zuckerman; Hugh L. Montgomery (2008) [1960]. An introduction to the theory of numbers (reprint of the 5th edition 1991 ed.). John Wiley & Sons. ISBN 978-81-265-1811-1. *Kenneth H. Rosen (2010). Elementary Number Theory (6th ed.). Pearson Education. ISBN 978-0-321-71775-7. * Borevich, A. I.; Shafarevich, Igor R. (1966). Number theory. Pure and Applied Mathematics. 20. Boston, MA: Academic Press. ISBN 978-0-12-117850-5. MR 0195803. * Serre, Jean-Pierre (1996) [1973]. A course in arithmetic. Graduate texts in mathematics. 7. Springer. ISBN 978-0-387-90040-7. ==Other websites== * {{Commonscatinline}} * [https://encyclopediaofmath.org/wiki/Number_theory Number Theory] * [http://www.numbertheory.org/ Number Theory Web] {{Areas of mathematics}} {{authority control}} {{Math-stub}} [[Category:Number theory| ]]