۱۵۰ چالش برای ریاضی‌دوستان: همراه با مسائل INMO و TST

This book is intended to be a problem-solving book in mathematics. In the current edition, there are around 150 problems, crafted by me and my team, at the level of the IOQM (Indian Olympiad Qualifier in Mathematics) / AIME (American Invitational Mathematics Examination) although certain questions involve concepts regularly used in exams such as the USAMO (United States of America Mathematical Olympiad) and the INMO (Indian National Mathematical Olympiad). However we have included certain questions of calculus and real analysis as well. These problems are typically at the level of PUTNAM. We have not classified the problems according to the difficulty level as we know that difficulty is a subjective concept and problems that may be hard for some might be very easy for others. Likewise, we have not added the questions topic-wise as most of these questions contain concepts from multiple topics and hence require a good level of analysis and problem-solving abilities across different areas. In the current edition of the book, we have 50 problems with their solutions (labeled as solved problems) and 100 unsolved problems, left as an exercise for the readers. In future editions, I will be looking to add more problems and give hints and solutions for them. Contents Preface Acknowledgments Topics of Olympiad Math 150 Challenges For Mathletes Solved Challenges Unsolved Challenges INMO Problems TST Problems Solutions for Solved Problems About the Authors Recommended Resources for Olympiad Mathematics