Introduction to Number Theory
06/28/2010 - 07/30/2010
To be announced -
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.
We will use the book, Elementary Number Theory by Charles Vanden Eynden. We hope to discuss the first five chapters of this book.
There will be regular homework but no written exams.
Active class participation is expected.
No background beyond basic algebra is required.
This course is open to auditors.
This course is offered during the 5 Week session; the deadline to withdraw and receive a tuition refund is Wednesday, June 30 at 5:00 pm.
A syllabus for this course is available at:
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|
Texts to purchase for this course:
Charles Vanden Eynden, Elementary Number Theory, (Waveland Pr Inc.)
READING MATERIALS ARE AVAILABLE AT BROAD STREET BOOKS, 45 BROAD STREET, MIDDLETOWN, 860-685-7323 Order your books online
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