Analytic Number Theory 1 (M823)
Number theory has its roots in ancient history but particularly since the 17th century, it has undergone intensive development using ideas from many branches of mathematics; in spite of the subject's maturity, many problems that are easy to state and understand still exist, for example, is there an even number that is not the sum of 2 primes?; in this course (and in analytic number theory 2 (M829)), students study number theory using techniques from analysis, in particular the convergence of series and the calculus of residues; the course is based on readings from T. M. Apostol's Introduction to Analytic Number Theory.
Applicants must be registered for the MSc in mathematics, or for another qualification towards which the course can count; plus have at least 2nd Class Honours in a mathematics degree or in another degree with a high mathematical content, such as engineering or theoretical physics; in exceptional circumstances applicants without this qualification are considered, although non-graduates are not normally admitted to the MSc programme; an adequate preparation would be the undergraduate-level courses pure mathematics (M208) (or the discontinued course M203) and complex analysis (M337) (or the discontinued courses M231 and M332); a knowledge of elementary number theory (as in, for example, number theory and mathematical logic (M381) or the discontinued courses M382 or M383) would be an advantage, but is not necessary.
|Qualification||Study mode||Fee||Course duration|
|Distance learning||-||9 months|
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