Difference between revisions of "User:Temperal/The Problem Solver's Resource"

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This is a collection of theorems, formulas, and other such things that are useful for competitions ranging from the AMC tests to the USAMO, from Mathcounts to the ARML. I've always thought that the things you actually need to know for such competitions were much too spread out, so that it was hard to find them when you needed them. Thus, I decided to create this index of useful information. It starts out with basic trigonometric formulas, and ends with theorems from calculus and advanced number theory. If there is anything incorrect or missing here, then feel free to add it in. Note that the project is incomplete as of now, and additional material is welcome.
 
This is a collection of theorems, formulas, and other such things that are useful for competitions ranging from the AMC tests to the USAMO, from Mathcounts to the ARML. I've always thought that the things you actually need to know for such competitions were much too spread out, so that it was hard to find them when you needed them. Thus, I decided to create this index of useful information. It starts out with basic trigonometric formulas, and ends with theorems from calculus and advanced number theory. If there is anything incorrect or missing here, then feel free to add it in. Note that the project is incomplete as of now, and additional material is welcome.
  
'''Current number of pages completed: 10 pages, templates for all 11 pages laid out.'''
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'''Current number of pages completed: 10 pages, templates for all 11 pages laid out. Note that the only incomplete page now is [[User:Temperal/The Problem Solver's Resource10|page 10]]; it would be appreciated if someone would fill it in.'''
  
 
==<span style="font-size:20px; color: blue;">Table of Contents</span>==
 
==<span style="font-size:20px; color: blue;">Table of Contents</span>==

Revision as of 12:33, 13 October 2007



The Problem Solver's Resource
Introduction | Other Tips and Tricks | Methods of Proof | You are currently viewing the introduction.

Introduction

This is a collection of theorems, formulas, and other such things that are useful for competitions ranging from the AMC tests to the USAMO, from Mathcounts to the ARML. I've always thought that the things you actually need to know for such competitions were much too spread out, so that it was hard to find them when you needed them. Thus, I decided to create this index of useful information. It starts out with basic trigonometric formulas, and ends with theorems from calculus and advanced number theory. If there is anything incorrect or missing here, then feel free to add it in. Note that the project is incomplete as of now, and additional material is welcome.

Current number of pages completed: 10 pages, templates for all 11 pages laid out. Note that the only incomplete page now is page 10; it would be appreciated if someone would fill it in.

Table of Contents

  1. Trigonometry
  2. Exponentials and Logarithms
  3. Summations and Products
  4. Simple Number Theory (Inequalities)
  5. Combinatorics
  6. Modulos
  7. Limits
  8. Intermediate Number Theory (Inequalities)
  9. Derivatives
  10. Integrals
  11. Advanced Number Theory

Continue to page 1