TAILIEUCHUNG - 104 Number Theory Problems

This book contains 104 of the best problems used in the training and testing of the . International Mathematical Olympiad (IMO) team. It is not a collection of very difficult, and impenetrable questions. Rather, the book gradually builds students’ number-theoretic skills and techniques. The first chapter provides a comprehensive introduction to number theory and its mathematical structures. This chapter can serve as a textbook for a short course in number theory. This work aims to broaden students’ view of mathematics and better prepare them for possible participation in various mathematical competitions. It provides in-depth enrichment in important areas of number theory by reorganizing and enhancing students’ problem-solving tactics and. | About the Authors Titu Andreescu received his . from the West University of Timisoara Romania. The topic of his dissertation was Research on Diophantine Analysis and Applications. Professor Andreescu currently teaches at The University of Texas at Dallas. He is past chairman of the USA Mathematical Olympiad served as director of the MAA American Mathematics Competitions 1998-2003 coach of the USA International Mathematical Olympiad Team IMO for 10 years 19932002 director of the Mathematical Olympiad Summer Program 1995-2002 and leader of the USA IMO Team 1995-2002 . In 2002 Titu was elected member of the IMO Advisory Board the governing body of the world s most prestigious mathematics competition. Titu co-founded in 2006 and continues as director of the AwesomeMath Summer Program AMSP . He received the Edyth May Sliffe Award for Distinguished High School Mathematics Teaching from the MAA in 1994 and a Certificate of Appreciation from the president of the MAA in 1995 for his outstanding service as coach of the Mathematical Olympiad Summer Program in preparing the US team for its perfect performance in Hong Kong at the 1994 IMO. Titu s contributions to numerous textbooks and problem books are recognized worldwide. Dorin Andrica received his in 1992 from Babe -Bolyai University in Cluj-Napoca Romania his thesis treated critical points and applications to the geometry of differentiable submanifolds. Professor Andrica has been chairman of the Department of Geometry at Babe -Bolyai since 1995. He has written and contributed to numerous mathematics textbooks problem books articles and scientific papers at various levels. He is an invited lecturer at university conferences around the world Austria Bulgaria Czech Republic Egypt France Germany Greece Italy the Netherlands Portugal Serbia Turkey and the USA. Dorin is a member of the Romanian Committee for the Mathematics Olympiad and is a member on the editorial boards of several international journals. Also he is .

• Toán học
• Foundations of Number Theory
• Divisibility
• Division Algorithm
• Modular Arithmetics
• Numerical Systems
• Floor Function
• Discrete mathematics
• Modeling computation
• Number theory
• Advanced counting techniques
• Propositional logic
• Language of propositions
• Predicate logic
• First order logic
• Predicate calculus
• Valid arguments
• Proof methods
• Proof strategies
• Pelvic Floor
• Muscle Training
• Stress Urinary
• Wesnes
• Steinar Hunskaar
• Guri Rortveit
• BMC Musculoskeletal Disorders
• Disease characterized
• Psychometric properties
• Psychometric function
• Symptomatic knee osteoarthritis
• Emission and Function
• Volatile Organic
• Compounds in Response
• Abiotic Stress
• Epigenetic Chromatin
• Regulators as Mediators