Elementary Number Theory

King's College London

Course Description

  • Course Name

    Elementary Number Theory

  • Host University

    King's College London

  • Location

    London, England

  • Area of Study

    Mathematics

  • Language Level

    Taught In English

  • Course Level Recommendations

    Upper

    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.

    Hours & Credits

  • UK Credits

    15
  • Recommended U.S. Semester Credits
    4
  • Recommended U.S. Quarter Units
    6
  • Overview

    Elementary Number Theory
    Module code: 6CCM224B
    Semester: 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 Algebra
    Syllabus:
    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=ccm224
    Credit level: 6
    Credit value: 15
    Assessment: written examination/s; coursework;

Course Disclaimer

Courses and course hours of instruction are subject to change.

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Please reference fall and spring course lists as not all courses are taught during both semesters.

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