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In the future, I will take part in a Maths Olympiad Here's my question:

This questions is mainly regarding The Math Theory involved. (not mainly problem solving). What basic concepts ( Mathematics Theory) do I need to study for a Maths Olympiad, also what mathematical techniques will I have to master?

What are the best resources for foundation/ simple mathematical techniques (e.g. piegonhole principle, factorisation, similar triangle..etc) which are not only a must for mathematical olympiads but also for problem solving and general.

These resources could include: Books, website, Single Pdf docucments..etc. I want to broaden my problem solving technique-knowledge (e.g methods of solving problems, for diffrent topics i.e. Algebra, Combinatorics, Number Theory.. etc.) so that when I am faced with a diffcult problem i have a lot of approaches to take and don't run out of ideas.

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  • $\begingroup$ You should check out aops $\endgroup$ – rah4927 Jan 20 '15 at 16:19
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There are lotsw of books, you can search it out on Google. Like : Polya's How to Solve it, Challenging Mathematical Problems With Elementary Solutions (Volume I & II, Combinatorial Analysis and Probability Theory) - A. M. Yaglom, I. M. Yaglom. etc.

http://www.artofproblemsolving.com/Wiki/index.php/Olympiad_books http://www.imomath.com/index.php?options=mbb%7Ctekstkut

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