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February 2020
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Number Theory III

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Description

Number theory is one of the oldest branches of mathematics. It is concerned with the properties of numbers, especially the properties of the integers. Historically, it was valued as the purest form of mathematics, but in fact there are many modern applications to information technology and cryptography. Number theory is a fundamentally useful course for any mathematician, but it also attracts a general audience because of its intrinsic beauty and its emphasis on problem-solving.


Objective


Content

Topics covered are: Divisibility and primes, congruences, arithmetic functions, continued fractions and rational approximation, quadratic residues, and primitive roots. Examples of diophantine equations. Modern applications to computer science, cryptography etc. Introduction to number-theoretic computer packages.

 
YearSemesterLevelUnits
2013133
Alison Wolff
Lecturer for this course

Graduate attributes


    Linkage future

    This course is not recorded as prequisite for other courses.


    Recommended text

    None.