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...This is a slightly abridged preliminary version of the book mathematics via problems from olympiades and math circles to profession part i algebra skopenkov ams providence page at bookstore https org cdn mcl partsii geometry andiii combinatorics editedbym zaslavsky are appear put http www mccme ru oim eng pdfwithakind permission for russian see biblio node online materials sturm pdf introduction adeep understanding useful both mathe maticians high tech professionals in particular profes sion title does not necessarily mean intended school students undergradu ates those interested olympiads can be used self study teaching attempts build bridge by showing that there no gap between ordinary exercises more sophisticated intricate abstract concepts focus on engaging wide audience think creatively applying techniques strategies motivated real world or work much accessible with strong interest we ascribe tradition studying solving discussing these selected so process them reader precisely sol...