Difference between revisions of "Algebra"

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* [[Algebra/Intermediate | Intermediate topics in algebra]]
 
* [[Algebra/Intermediate | Intermediate topics in algebra]]
 
* [[Algebra/Olympiad | Olympiad topics in algebra]]
 
* [[Algebra/Olympiad | Olympiad topics in algebra]]
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* [[Algebra/Advanced topics | More advanced topics in algebra]]
  
 
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== See also ==
 
+
* [[Table of Contents]]
== Olympiad Topics==
 
* [[Function | Functions]]
 
** [[Greatest integer function]]/[[Least integer function]]
 
** [[Polynomial | Polynomials]]
 
** [[Functional equation| Functional Equations]]
 
* [[Inequality | Inequalities]]
 
** [[Arithmetic Mean-Geometric Mean | Arithmetic Mean-Geometric Mean Inequality]]
 
** [[Cauchy-Schwarz Inequality]]
 
** [[Chebyshev's Inequality]]
 
** [[Geometric inequalities]]
 
** [[Hölder's Inequality]]
 
** [[Isoperimetric inequalities]]
 
** [[Jensen's Inequality]]
 
** [[Minkowski Inequality]]
 
** [[Muirhead's Inequality]]
 
** [[Power Mean Inequality]]
 
** [[Rearrangement Inequality]]
 
** [[Schur's Inequality]]
 
** [[Smoothing]]
 
** [[Triangle Inequality]]
 
** [[Trigonometric inequalities]]
 
** [[Trivial Inequality]]
 
 
 
 
 
 
 
== More Advanced Topics in Algebra ==
 
* [[Group theory]]
 
* [[Ring theory]]
 
* [[Field theory]]
 
* [[Galois theory]]
 
* [[Homological algebra]]
 
* [[Lie theory]]
 
* [[Algebraic geometry]]
 

Revision as of 14:12, 25 July 2006

In mathematics, algebra is the study of examining, manipulating, and solving equations, inequalities, and other mathematical expressions. Algebra revolves around the concept of the variable, an unknown quantity given a name and usually denoted by a letter or symbol. Many contest problems test one's fluency with algebraic manipulation. If this is not what you are looking for, you might try the page on abstract algebra.


Study Guides to Algebra

See also