Difference between revisions of "Number theory"
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=== Famous Unsolved Number Theory Problems === | === Famous Unsolved Number Theory Problems === | ||
| − | * [[Birch and | + | * [[[Birch and Swinnerton-Dyer conjecture]]] |
* [[Collatz Problem]] | * [[Collatz Problem]] | ||
* [[Goldbach Conjecture]] | * [[Goldbach Conjecture]] | ||
* [[Riemann Hypothesis]] | * [[Riemann Hypothesis]] | ||
* [[Twin Prime Conjecture]] | * [[Twin Prime Conjecture]] | ||
Revision as of 02:07, 3 August 2006
Number theory is the field of mathematics associated with studying the integers.
Contents
Student Guides to Number Theory
- Introductory topics in number theory -- Covers different kinds of integers such as prime numbers, composite numbers, and their relationships (multiples, divisors, and more). Also includes base numbers and modular arithmetic.
- Intermediate topics in number theory
- Olympiad number topics in number theory
- Advanced topics in number theory
Resources
Books
- Introductory
- the Art of Problem Solving Introduction to Number Theory by Mathew Crawford (details)
- General Interest
Miscellaneous
- Intermediate
- Olympiad
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
- [[[Birch and Swinnerton-Dyer conjecture]]]
- Collatz Problem
- Goldbach Conjecture
- Riemann Hypothesis
- Twin Prime Conjecture
