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 IMO, from Mathcounts to the ARML, from the iTest to Putnam. 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 these are just formula sheets with no explanation. This is not a good place to learn these topics; just a place to refresh your memory on the specific formulas.

Current status: Algebra page needs to be completed, geometry page not started yet.

Pages on analysis and other advanced calculus topics may be added in the future.

Table of Contents

  1. Trigonometry
  2. Exponentials and Logarithms
  3. Summations and Products
  4. Algebra
  5. Combinatorics
  6. Beginner/Intermediate Number Theory
  7. Limits
  8. Geometry
  9. Advanced Number Theory
  10. Complex Numbers
  11. Inequalities

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