Elementary Number Theory
King's College London
Area of Study
Taught In English
Course Level Recommendations
ISA offers course level recommendations in an effort to facilitate the determination of course levels by credential evaluators.We advice each institution to have their own credentials evaluator make the final decision regrading course levels.
Recommended U.S. Semester Credits4
Recommended U.S. Quarter Units6
Hours & Credits
OverviewElementary Number TheoryModule code: 6CCM224BSemester: Semester 2 (spring)Module description:Aims and objectives:The aim of this module is to give an introduction to elementary number theory and to further develop the algebraic techniques met in 'Introduction to Abstract Algebra'. By introducing several new concepts in the concrete setting of rational integers, this module is a good preparation for more demanding modules in number theory and algebra.Pre-requisites 4CCM121A or 5CCM121B Introduction to Abstract AlgebraSyllabus:Review of divisibility, prime numbers and congruences. Residue class rings, Euler's ?-function, primitive roots. Quadratic residues and quadratic reciprocity law. Irrational and transcendental numbers. Sums of squares. Some Diophantine equations. If time permits we will also learn about the 'AKS' algorithm for primality testing.Books:http://myreadinglists.kcl.ac.uk/search.html?q=ccm224Credit level: 6Credit value: 15Assessment: written examination/s; coursework;
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