Difference between revisions of "Number theory"
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** ''Fermat's Enigma'' by Simon Singh [http://www.amazon.com/exec/obidos/ASIN/0385493622/artofproblems-20 (details)] | ** ''Fermat's Enigma'' by Simon Singh [http://www.amazon.com/exec/obidos/ASIN/0385493622/artofproblems-20 (details)] | ||
** ''Music of the Primes'' by Marcus du Sautoy [http://www.amazon.com/exec/obidos/ASIN/0066210704/artofproblems-20 (details)] | ** ''Music of the Primes'' by Marcus du Sautoy [http://www.amazon.com/exec/obidos/ASIN/0066210704/artofproblems-20 (details)] | ||
| + | ** ''104 Number Theory Problems'' by Titu Andreescu, Dorin Andrica, Zuming Feng | ||
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| + | === E-Book === | ||
| + | * [http://www.mathlinks.ro/index.php?f=456 ''Problems in Elementary Number Theory'' by Hojoo Lee] | ||
| + | * [http://www.artofproblemsolving.com/Resources/Papers/SatoNT.pdf ''Number Theory'' by Naoki Sato] | ||
=== Miscellaneous === | === Miscellaneous === | ||
* Intermediate | * Intermediate | ||
** [[Intermediate Number Theory]] [http://www.artofproblemsolving.com/Classes/AoPS_C_ClassesS.php#intermnum (Details)] | ** [[Intermediate Number Theory]] [http://www.artofproblemsolving.com/Classes/AoPS_C_ClassesS.php#intermnum (Details)] | ||
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== Other Topics of Interest == | == Other Topics of Interest == | ||
Revision as of 23:16, 18 December 2007
Number theory is the field of mathematics associated with studying the properties of real numbers.
Contents
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
- 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 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
E-Book
Miscellaneous
- Intermediate
Other Topics of Interest
These are other topics that aren't particularly important for competitions and problem solving, but are good to know.
