User:Temperal/The Problem Solver's Resource

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. One more thing: I foolishly missed a number of topics while designing the layout. Pages on algebra and geometry will be added in the future. Table of Contents Introduction Trigonometry Exponentials and Logarithms Summations and Products Simple Number Theory (Inequalities) Combinatorics Modulos Limits Intermediate Number Theory (Inequalities) Derivatives Integrals Advanced Number Theory Other Tips and Tricks Competition Continue to page 1