Author: vbarzov
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Math training
Problem selection This is a collection of original math problems and their solutions. The problems have been grouped into the standard IMO categories of algebra, combinatorics, number theory, and geometry. Some of them have appeared in various competitions and magazines. An attempt has been made to order the problems by difficulty, but this is subjective.…
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Math articles
Here are a few articles from my younger days, newly polished and translated into English. Sums of sets This article is based on a problem from number theory. We present several generalizations and corollaries. The paper studies residues modulo a prime, sets of such residues, and a special type of summing sets. The examples are…
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Advice for my children
To my boys: If you came to me asking for advice, here is what I would have told you. Below is a list of practical, timeless, and objective pieces of knowledge. None of them are rocket science, and if you don’t learn them from me, you will no doubt learn them from life. The problem…