Transcription of A Course on Number Theory - QMUL Maths
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A Course on Number Theory Peter J. Cameron ii Preface These are the notes of the Course MTH6128, Number Theory , which I taught at Queen Mary, University of London, in the spring semester of 2009. There is nothing original to me in the notes. The Course was designed by Su- san McKay, and developed by Stephen Donkin, Ian Chiswell, Charles Leedham- Green, and Thomas M uller; I have benefited greatly from Ian Chiswell's notes, which I have followed closely. I am grateful to Mark Walters who stood in for me in the first six lectures of the Course , and whose comments have been very helpful; also to the class tutors, markers, and most of all the students who took the Course , for their comments and support.
iv They will be able to work with Diophantine equations, i.e. polyno-mial equations with integer solutions. They will know some of the famous classical theorems and conjectures in number theory, such as
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Diophantine, Publications, INTER-UNIVERSAL TEICHMULLER THEORY I, 250 PROBLEMS IN ELEMENTARY NUMBER, 250 problems in elementary number theory, INTER-UNIVERSAL TEICHMULLER THEORY IV, COMPUTATIONS AND SET-THEORETIC FOUNDATIONS, Control System Design - SISO Pole, Control System Design SISO Pole Placement