Difference between revisions of "Number theory"

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== Student Guides to Number Theory ==
 
== Student Guides to Number Theory ==
 
* '''[[Number theory/Introduction | Introductory topics in number theory]]'''
 
* '''[[Number theory/Introduction | Introductory topics in number theory]]'''
** Covers different kinds of integers such as [[prime number]]s, [[composite number]]s, and their relationships ([[multiples]], [[divisor|divisors]], and more).  Also includes [[base number]]s and [[modular arithmetic]].
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** Covers different kinds of integers such as [[prime number]]s, [[composite number]]s, and their relationships ([[multiple|multiples]], [[divisor|divisors]], and more).  Also includes [[base number]]s and [[modular arithmetic]].
 
* '''[[Number theory/Intermediate | Intermediate topics in number theory]]'''
 
* '''[[Number theory/Intermediate | Intermediate topics in number theory]]'''
 
* '''[[Number theory/Olympiad | Olympiad topics in number theory]]'''
 
* '''[[Number theory/Olympiad | Olympiad topics in number theory]]'''

Revision as of 15:19, 2 March 2008

Number theory is the field of mathematics associated with studying the properties of real numbers.

Overview

Number theory is a broad topic, and may cover many diverse subtopics, such as:

Some branches of number theory may only deal with a certain subset of the real numbers, such as integers, positive numbers, natural numbers, rational numbers, etc. Some algebraic topics such as Diophantine equations are occasionally considered number theory.

Student Guides to Number Theory

Resources

Books

  • Introductory
  • General Interest
    • Fermat's Enigma by Simon Singh (details)
    • Music of the Primes by Marcus du Sautoy (details)
    • 104 Number Theory Problems by Titu Andreescu, Dorin Andrica, Zuming Feng

E-Book

Miscellaneous

Other Topics of Interest

These are other topics that aren't particularly important for competitions and problem solving, but are good to know.


Famous Unsolved Number Theory Problems