Difference between revisions of "Number theory/Introduction"

Latest revision as of 15:20, 2 March 2008

Number theory is the study of integers and an introductory study of number theory involves exploring many common relationships between integers.

The following topics make a good introduction to number theory:

the Art of Problem Solving Introduction to Number Theory by Mathew Crawford (details)
General Interest
- Fermat's Enigma by Simon Singh (details)
- Music of the Primes by Marcus du Sautoy (details)

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+[[Number theory]] is the study of [[integers]] and an introductory study of number theory involves exploring many common relationships between integers.
+== Introductory Topics in Number Theory ==
 The following topics make a good introduction to [[number theory]]:
 * [[Prime number | Primes]]
@@ Line 9: / Line 13: @@
 **** [[Greatest common divisor]]s
 *** [[Counting divisors]]
-** [[Multiples]]
+** [[Multiple]]s
 *** [[Common multiple]]s
 **** [[Least common multiple]]s
@@ Line 18: / Line 22: @@
 * [[Modular arithmetic]]
 ** [[Linear congruence]]
+== Introductory Number Theory Resources ==
+=== Books ===
+* ''the Art of Problem Solving Introduction to Number Theory'' by [[Mathew Crawford]] [http://www.artofproblemsolving.com/Books/AoPS_B_Item.php?page_id=10 (details)]
+* General Interest
+** ''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)]
+=== Classes ===
+* [[Introduction to Number Theory Course]] is part of the [[AoPS Online School]].  [http://www.artofproblemsolving.com/Classes/AoPS_C_ClassesS.php#begnum Details]
+== See also ==
+* [[Number theory/Intermediate | Intermediate number theory]]
+* [[Number theory/Olympiad | Olympiad number theory]]
+[[Category:Introductory Mathematics Topics]]
+[[Category:Number theory]]