Titu Andreescu

Number Theory

Structures, Examples, and Problems

Buch

Number theory, an ongoing rich area of mathematical exploration, is noted for its theoretical depth, with connections and applications to other fields from representation theory, to physics, cryptography, and more. While the forefront of number theory is replete with sophisticated and famous open problems, at its foundation are basic, elementary ideas that can stimulate and challenge beginning students. This lively introductory text focuses on a problem-solving approach to the subject.Key features of Number Theory: Structures, Examples, and Problems:* A rigorous exposition starts with the natural numbers and the basics.* Important concepts ar… Mehr

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Produktdetails

Weitere Autoren: Andrica, Dorin

ISBN: 978-0-8176-3245-8
EAN: 9780817632458
Produktnummer: 1385039
Verlag: Birkhäuser Boston
Sprache: Englisch
Erscheinungsjahr: 2009
Seitenangabe: 404 S.
Masse: H24.1 cm x B16.0 cm x D2.7 cm 770 g
Auflage: 2009
Abbildungen: HC runder Rücken kaschiert
Gewicht: 770

Über den Autor

Titu Andreescu received his Ph.D. 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 (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 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 Ph.D in 1992 from Babes¸-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 Babes¸-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 well known for his conjecture about consecutive primes called Andrica's Conjecture. He has been a regular faculty member at the Canada-USA Mathcamps between 2001-2005 and at the AwesomeMath Summer Program (AMSP) since 2006.