MATH 437/537 Elementary Number Theory Section 101, Fall 2007 When …
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MATH 437/537: Elementary Number Theory. Section 101, Fall 2007. When: MWF 10:00-11:00. AM. Where: Mathematics 225. Course web page: http://www.math.ubc.ca/ …
Website: www.math.ubc.ca | Filesize: 62kb
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MATH 437/537: Elementary Number Theory
Section 101, Fall 2007
When: MWF 10:00-11:00 AM
Where: Mathematics 225
Course web page: http://www.math.ubc.ca/gerg/index.shtml?537
Textbook: Niven, Zuckerman, and Montgomery, An Introduction to the Theory of Numbers,
5th edition (Wiley)
Instructor: Prof. Greg Martin
Office: Mathematics 212
Email address: gerg@math.ubc.ca
Phone number: 822-4371
Office hours: -to be determined-
Description: The first couple of weeks will be spent covering divisibility, congruences,
prime numbers, and similar foundations of number theory. Some of this material might
already be familiar to you (congruences come up in courses on abstract algebra, for instance).
Once we have this foundation, there are many different directions we could
follow. Topics I would like to cover include: finding roots of polynomial congruences; the
Quadratic Reciprocity Theorem; writing numbers as sums of squares; arithmetic functions
and Dirichlet series; Farey fractions and continued fractions; prime number estimates.
I will also try to indicate the connections between these topics and other advanced
areas of number theory (algebraic number theory, analytic number theory, diophantine
approximation, etc.).
This course will not require any particular background in number theory;…
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Related Searches: analytic number theory, algebraic number theory, elementary number theory, quadratic reciprocity, arithmetic functions
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