Introduction to Number Theory
09/08/2003 - 12/13/2003
Monday 07:00 PM - 09:30 PM
Science Tower 139
The natural numbers, 1, 2, 3, ... are the starting point of mathematics. They form a deceptively simple structure whose investigation has occupied mathematicians for thousands of years. This course will introduce students to some of the basic problems and methods of this subject. We will begin with a study of divisibility and properties of prime numbers. We will go on to study arithmetical functions, the algebra of congruence classes, and Diophantine equations. As time permits, we will discuss special topics such as the distribution of the prime numbers and decimal and continued fraction representations of real numbers.
Adam Fieldsteel (A.B. Brown University; Ph.D. University of California, Berkeley) is professor of mathematics. His research focuses on ergodic theory and topological dynamics, and his recent publications include: (with A. Blokh), "Sets that force recurrence," Proceedings of the American Mathematical Society (2002); (with K. Dajani), "Equipartition of interval partitions and an application to number theory," Proceedings of the American Mathematical Society (2001); (with R. Hasfura), "Dyadic equivalence to completely positive entropy," Transactions of the American Mathematical Society (1998). Click here for more information about Adam Fieldsteel.
Consent of Instructor Required: No
|Level: GLSP||Credits: 3||Enrollment Limit: 18|
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