



  104 Number Theory Problems: From the Training of the USA IMO TeamThis challenging problem book by renowned US Olympiad coaches, mathematics teachers, and researchers develops a multitude of problemsolving skills needed to excel in mathematical contests and research in number theory. Offering inspiration and intellectual delight, the problems throughout the book encourage students to express their ideas,...   


  The Fractal Geometry of NatureImagine an equilateral triangle. Now, imagine smaller equilateral triangles perched in the center of each side of the original triangleyou have a Star of David. Now, place still smaller equilateral triangles in the center of each of the star's 12 sides. Repeat this process infinitely and you have a Koch snowflake, a mindbending geometric...   Topics in Geometry, Coding Theory and Cryptography (Algebra and Applications)The purpose of this reviewarticle is to serve as an introduction and at the same time, as an invitation to the theory of towers of function fields over finite fields. More specifically, we treat here the case of explicit towers; i.e., towers where the function fields are given by explicit equations. The asymptotic behaviour of the genus and of the... 



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