I was thinking of participating in the Next years IMO(international mathematics Olympiad) and i wanted some book references to help me get to the Olympiad level . The topics are : Algebra , Geometry , Combinatorics , and Number theory. I am currently a high school student with a very basic knowledge in number theory , some graphs and algorithms in combinatorics, and just high school algebra . So, if you will , bearing in mind my very basic level, refer some books ( preferably 1 -the best in your opinion- in each topic) Thanks.
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1$\begingroup$ i would use the book Problem solving strategies by Arthur Engel $\endgroup$ – Dr. Sonnhard Graubner May 20 '17 at 17:25
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$\begingroup$ Thanks for your Answer! , however i prefer some books specific in each topics. $\endgroup$ – Abdelrahman Ahmed May 20 '17 at 17:27
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$\begingroup$ this is an excellent book and we use it very often $\endgroup$ – Dr. Sonnhard Graubner May 20 '17 at 17:30
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1$\begingroup$ You also have the IMO compendium, which is just a large collection of shortlist problems for the IMO over the ages. If nothing else, it will tell you more or less exactly what level the problems are, and give you a lot of practice using relevant techniques. $\endgroup$ – Arthur May 20 '17 at 17:31
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$\begingroup$ i think i should deeply understand the concepts and the theory behind it before trying to tackle problems ? or what do you think is the best strategy ? $\endgroup$ – Abdelrahman Ahmed May 20 '17 at 17:33
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https://artofproblemsolving.com/wiki/index.php?title=Math_books
Try this links. Books which specific in every level according to the level.