AIME preparation book

This book consists only of author-created AIME type problems with author-prepared solutions (never published before). The main goal of the book is to teach the reader how to score better on the AIME (American Invitational Mathematics Examination). It includes several new techniques and theorems. It is intended as a teacher’s manual of mathematics, as a manual for math competition coaches, a self-study handbook for high-school students and mathematical competitors interested in the American Mathematics Competitions. The book helps to improve problem solving skills needed for the AIME, US(J)AMO, HMMT, PUMaC, SMT. The book includes a list of the most useful theorems and formulas needed to score better on the AIME, it also includes 8 sets of author-created AIME type practice tests (120 problems). In order to help to score better on the AIME and US(J)AMO the authors provide author-prepared solution for each problem (and a list of answers for all 8 sets). About the authors: Hayk Sedrakyan is an IMO medal winner, professional mathematical Olympiad coach in greater Boston area, Massachusetts, USA. He has been the dean (and one of the main developers) of one of the biggest math competition preparation programs in the USA. He has been a Professor of mathematics in Paris and has a PhD in mathematics (optimal control and game theory) from the Sorbonne University (UPMC), Paris, France. He is a Doctor of mathematical sciences in USA, France, Armenia and holds three master’s degrees in mathematics from institutions in Germany, Austria, Armenia and has spent a small part of his PhD studies in Italy. He has worked as a scientific researcher for the European Commission (sadco project), has been one of the Team Leaders at Harvard-MIT Mathematics Tournament (HMMT) and was an invited speaker at the Imperial College London. He took part in the International Mathematical Olympiads (IMO) in United Kingdom, Japan and Greece. He has been elected as the President of the general assembly and a member of the management board of the Cite Internationale Universitaire de Paris (10,000 students, 162 different nationalities) and the same year they were nominated for the Nobel Prize. He is the son and was one of the students of Nairi Sedrakyan. Nairi Sedrakyan is the winner of one of the highest international awards in mathematics (Erdos Award 2022). For contributing to the development of mathematics worldwide. He is involved in national and international Mathematics Olympiads having been the President of Armenian Mathematics Olympiads and a member of the IMO problem selection committee. He is the author of one of the most difficult problems ever proposed in the International Mathematical Olympiad, the 5th problem of the 37th IMO. This problem is considered to be one the hardest problems in the IMO as none of the members of the strongest teams (national Olympic teams of China, USA, Russia) succeeded to solve it correctly, and because national Olympic team of China (the strongest team in the IMO) obtained a cumulative result of 0 points and was ranked 6th in the final ranking of the countries instead of the usual 1st or 2nd place. The British 2014 lm X+Y, released in the USA as A Brilliant Young Mind, inspired by the film Beautiful Young Minds (focuses on an English mathematical genius chosen to represent the United Kingdom at the IMO) also states that this problem is the hardest problem ever proposed in the history of the IMO (minutes 9:40-10:30). Nairi Sedrakyan’s students have received 20 medals in the International Mathematical Olympiad, including Gold and Silver medals. Nairi Sedrakyan received a Gold Medal for his contributions to World’s Mathematical Olympiads and Scientific Activities. AIME is American Invitational Mathematics Examination by MAA, which is not affiliated with this book. All rights reserved. No part of this book may be used or reproduced in any manner without the written permission of the authors.