Difference between revisions of "Number theory"

(Miscellaneous)
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=== Miscellaneous ===
 
=== Miscellaneous ===
 
* Intermediate
 
* Intermediate
** [[Intermediate Number Theory]] [http://www.artofproblemsolving.com/Classes/AoPS_C_ClassesS.php#intermnum (Details)]
+
** [http://www.artofproblemsolving.com/Classes/AoPS_C_ClassesS.php#intermnum Intermediate Number Theory]
  
 
== Other Topics of Interest ==
 
== Other Topics of Interest ==

Revision as of 17:44, 29 June 2011

Number theory is the field of mathematics associated with studying the properties and identities 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
    • the Art of Problem Solving Introduction to Number Theory by Mathew Crawford (details)
    • Elementary Number Theory: A Problem Oriented Approach by Joe Roberts (details) Out of print but if you can find it in a library or used, you might love it and learn a lot. Writen caligraphically by the author.
  • 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