Number Theory
Guide Note
Number Theory is a branch of Mathematics dealing with the properties of numbers, particularly the integers. It has several sub-fields including algebraic, computational and analytic number theories.
Fast Facts
- Began in 16th and 17th centuries in Europe
- Those who work in the field are called number theorists
- Arithmetic is an older term used for number theory
- Karl Friedrich Gauss considered greatest all-time number theorist
Glossary
- Natural Numbers: All non-negative integers
- Prime Numbers: Natural positive numbers with only 2 different natural divisors
- Fibonacci Sequence: Series of numbers beginning with 0 and 1 where any following number is equal to the sum of the two previous numbers
- Fibonacci Number: Any number that appears in the Fibonacci Sequence
- Integer Sequence: Any series of integers, examples include a list of prime numbers and the Fibonacci Sequence
The Mahalo Top 7
- Wikipedia: Number Theory
- Planet Math: Number Theory
- Northern Illinois University: Number Theory
- PDF File: Number Theory Vocabulary (112kb)
- Mathematics Fair: Number Theory
- Wolfram Math World: Number Theory
- YouTube: Number Theory Discussion in Pi (Time 3:11)
Number Theory Recent News
- University of Wisconsin - Madison: UW Scientists Unlock Major Number Theory Puzzle (2007)
- Physics World: Number Theory (2005)
- University of California - Davis Number Theory Articles
Number Theory History
- University of St. Andrew: History Topics: Numbers and Number Theory Index
- Jeff 570: Earliest Uses of Symbols of Number Theory
- Texas A&M University: Pythagoras and the Pythagoreans
Notable Figures in Number Theory
Leonhard Euler
- Rutgers University: Euler's work in Number Theory
- Wikipedia: Contributions of Leonhard Euler to Mathematics
- University of St. Andrew: Leonhard Euler
Pierre de Fermat
- Wikipedia: Pierre de Fermat
- University of St. Andrew: Pierre de Fermat
- SimonSingh.net: Who Was Fermat?
Christian Goldbach
- Wikipedia: Christian Goldbach
- Dartmouth University: Euler's Correspondence with Christian Goldbach
- University of St. Andrew: Christian Goldbach
Bernhard Riemann
- Wikipedia: Bernhard Riemann
- Johanneum Lüneburg Information System: Bernhard Riemann - One of the Most Important Mathematicians
- University of St. Andrew: Georg Friedrich Bernhard Riemann
Carl Friedrich Gauss
- Wikipedia: Carl Friedrich Gauss
- Wake Forest university: Carl Friedrich Gauss
- Science World: Gauss, Karl Friedrich (1777-1855)
Number Theory Fun Stuff
- Live Journal: How to Get Kids to Study Number Theory
- University of Tennessee at Martin: Prime Curious!: 47
- Cardiff University: Glimpses of History (mostly Number Theory) by Martin Huxley
- Hypography: Number Theory Quiz
Number Theory Sub-Fields
Elementary Number Theory
- Wikipedia: Elementary Number Theory
- Wolfram Math World: Elementary Number Theory
Analytic Number Theory
- Wikipedia: Analytic Number Theory
- Paris University: An Introduction to Analytic Number Theory
- Wolfram Math World: Analytic Number Theory
Algebraic Number Theory
- Planet Math: Algebraic Number Theory
- Wikipedia: Algebraic Number Theory
- Science and Reason: Algebraic Number Theory - Index
Geometric Number Theory
- Wikipedia: Geometric Number Theory
Combinatorial Number Theory
- Wikipedia: Combinatorial Number Theory
- University of Georgia: Combinatorial Number Theory
Computational Number Theory
- University of Maryland: Basics of Computational Number Theory
- Wikipedia: Computational Number Theory
Number Theory Education Resources
- Math Pages: Number Theory
- Tutor Vista: Number Theory Online Tutorial
- Numericana: Number Theory
- Wichita State University: Number Theory Activities
- Principles of Mathematics: Number Theory - Divisibility Rules
Number Theory Photos and Videos
- Google Images: Number Theory Image Search
- Google Video and YouTube: Theory Video Search
Number Theory Blogs and Forums
- Mazurland Blog: A Higher Nonsense
- CalvinDude.com Quick Number Theory
- An Idelic Life: Dynamical Systems in Number Theory and Linear Algebra
- Hypography Science Forums: Distribution of Digits in Irrational Numbers
- Math Notes: A Neat Little Number Theory Proof
Number Theory Organizations and Societies
- Google Directory: Number Theory Research Groups
- Numbertheory.org: Number Theorists' Home Pages/Departmental Listings
- University of California - Los Angeles(UCLA): UCLA Number Theory Group
- Yahoo Tech Groups: True Number Theory E-Group
- University of British Columbia: UBC Number Theory Research Group
- Simon Fraser University: Number Theory Group
- University of Georgia: Number Theory and Arithmetic Geometry Group
- Numbertheory.org: Number Theory Conferences, new and old
- Brown University: Number Theory Group
- University of Nottingham: Number Theory Group
- University of Illinois at Urbana-Champaign: Number Theory Foundation
Number Theory Books and Publications
- Wikibooks: Number Theory
- Wolfram Worldwide Web Store: Number Theory Books
- Google Books: Number Theory Book Search
- Amazon.com: Number Theory Book Search
- Half.com: Number Theory Book Search
- Albertsons Library Mathematics Resources: Algebra & Number Theory
- International Press: Communications in Number Theory and Physics
- World Scientific: International Journal of Number Theory
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