MTH 320 - Number Theory

Institution:

Westminster College - Pennsylvania

Subject:

Description:

Number Theory is the study of the most basic of mathematical systems, the natural numbers {1, 2, 3, ...} and the integers {0, 1, -1, 2, -2, ...}. The subject is famous for having a number of easy-to-state conjectures that have resisted all efforts at proof, in some cases for centuries, as well as an abundance of beautiful theorems. Topics for this course include the integers, divisibility, prime numbers, primality testing, factorization methods, congruences, Diophantine problems, arithmetical functions, Fermat’s little theorem, primitive roots, quadratic reciprocity, Diophantine equations, and Fermat’s last theorem. Applications will be drawn from Cryptology and Coding theory . Prerequisites : MTH 141 and 251.

Credits:

3.00

Credit Hours:

Prerequisites:

Corequisites:

Exclusions:

Level:

Instructional Type:

Lecture

Notes:

Additional Information:

Historical Version(s):

Institution Website:

www.westminster.edu

Phone Number:

(724) 946-8761

Regional Accreditation:

Middle States Association of Colleges and Schools

Calendar System:

Semester

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