104 Number Theory Problems
From the Training of the USA IMO Team
(Sprache: Englisch)
This challenging problem book is written by renowned US Olympiad coaches, mathematics teachers, and researchers. It develops a multitude of problem-solving skills needed to excel in mathematical contests and in mathematical research in number theory.
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Produktinformationen zu „104 Number Theory Problems “
This challenging problem book is written by renowned US Olympiad coaches, mathematics teachers, and researchers. It develops a multitude of problem-solving skills needed to excel in mathematical contests and in mathematical research in number theory.
Klappentext zu „104 Number Theory Problems “
This challenging problem book by renowned US Olympiad coaches, mathematics teachers, and researchers develops a multitude of problem-solving skills needed to excel in mathematical contests and in mathematical research in number theory. Offering inspiration and intellectual delight, the problems throughout the book encourage students to express their ideas in writing to explain how they conceive problems, what conjectures they make, and what conclusions they reach. Applying specific techniques and strategies, readers will acquire a solid understanding of the fundamental concepts and ideas of number theory.
This challenging problem book by renowned US Olympiad coaches, mathematics teachers, and researchers develops a multitude of problem-solving skills needed to excel in mathematical contests and in mathematical research in number theory. Offering inspiration and intellectual delight, the problems throughout the book encourage students to express their ideas in writing to explain how they conceive problems, what conjectures they make, and what conclusions they reach. Applying specific techniques and strategies, readers will acquire a solid understanding of the fundamental concepts and ideas of number theory.
Inhaltsverzeichnis zu „104 Number Theory Problems “
- Preface- Notation
- Number Theory Fundamentals
- Introductory Problems
- Advanced Problems
- Solutions to Introductory Problems
- Solutions to Advanced Problems
- Glossary
- References
- Subject Index
Autoren-Porträt von Titu Andreescu, Dorin Andrica, Zuming Feng
Titu Andreescu received his BA, MS, and PhD from the West University of Timisoara, Romania. The topic of his doctoral dissertation was "Research on Diophantine Analysis and Applications." Professor Andreescu currently teaches at the University of Texas at Dallas. Titu 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 (1993-2002), 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 is also co-founder and director of the AwesomeMath Summer Program (AMSP). Titu 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 PhD in 1992 from "Babes-Bolyai" University in Cluj-Napoca, Romania, with a thesis on critical points and applications to the geometry of differentiable submanifolds. Professor Andrica has been chairman of the Department of Geometry at "Babes-Bolyai" since 1995. Dorin has written and contributed to numerous mathematics textbooks, problem books, articles and scientific papers at various levels. Dorin 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. He is a member of the Romanian Committee for the Mathematics Olympiad and member of editorial boards of several international
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journals. Also, he is well known for his conjecture about consecutive primes called "Andrica's Conjecture." Dorin has been a regular faculty member at the Canada-USA Mathcamps between 2001-2005 and at the AwesomeMath Summer Program (AMSP) since 2006.Zuming Feng graduated with a PhD from Johns Hopkins University with emphasis on Algebraic Number Theory and Elliptic Curves. He teaches at Phillips Exeter Academy. Zuming also served as a coach of the USA IMO team (1997-2006), was the deputy leader of the USA IMO Team (2000-2002), and an assistant director of the USA Mathematical Olympiad Summer Program (1999-2002). He is a member of the USA Mathematical Olympiad Committee since 1999, and has been the leader of the USA IMO team and the academic director of the USA Mathematical Olympiad Summer Program since 2003. Zuming is also co-founder and academic director of the AwesomeMath Summer Program (AMSP). Zuming received the Edyth May Sliffe Award for Distinguished High School Mathematics Teaching from the MAA in 1996 and 2002.
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Bibliographische Angaben
- Autoren: Titu Andreescu , Dorin Andrica , Zuming Feng
- 2006, 204 Seiten, Maße: 16,4 x 22,8 cm, Kartoniert (TB), Englisch
- Verlag: Springer
- ISBN-10: 0817645276
- ISBN-13: 9780817645274
Sprache:
Englisch
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