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Number Theory

Fermat's Last TheoremNumber theory is a branch of pure mathematics devoted primarily to the study of the natural numbers and the integers. It is especially concerned with studying prime numbers and the properties of integers and objects made from them (e.g. rational numbers).  The history of this discipline is fascinating and replete with astonishingly clever mathematicians and famous theorems and insights.  You will learn of Diophantine equations, the Riemann zeta function, and many other amazing things.

This was a field of study that fascinated me as a school student (and beyond).  I spent many happy hours analysing primes, sequences, the density of primes, divisibility, etc.  Until I add material here, let me recommend that you follow the link to the Wikipedia article about Number Theory and then simply Google the term and browse.

I would describe Graeme as one of the best tutors I ever had. During my school years I spent some time attending one of the major tutoring organizations in town and I found it was difficult for the tutors to spend the time needed to assist me with problem solving due to the class size. My mother rang a private tutor in the phone book who gave her Graeme’s phone number as he specialized in tutoring high school students and was a teacher who used to work at my school. He offered a tutoring service at convenient times which suited our busy life style. The one-on-one service that Graeme provides was what I needed and I saw improvements straight away with my exam results. This made my parents very happy and I found a new confidence in approaching exams. I have since left school but have stayed in contact with Graeme and he has provided me with terrific practical suggestions in preparing for interviews. I would not hesitate in recommending Graeme as a great teacher.
James C (Student, 2012)

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