Barnes J. Nice Numbers 2016

Textbook in PDF format

This book is based on lectures given originally at Reading University and more recently at Oxford as part of the Continuing Education program of Oxford University in England. In a sense it is a sequel to Gems of Geometry (now in its second edition) and which is also based on lectures given at Reading and Oxford. Having given the geometry lectures a few times, it was suggested that I should develop another course based on aspects of numbers. I was extremely busy at the time updating my book on the Ada programming language so settled on a short course of just five lectures entitled Nice and Noughty (sic) Numbers. However, as the time approached I was still too busy and so the course was kindly given by Aruna Hardy. The next year, the pressure of life abated and I was able to gave a full ten lecture course.
Measures
Amicable Numbers
Probability
Fractions
Time
Notations
Bells
Primes
Music
Finale
Appendices
Ackermann
Pascal’s Triangle
Stochastics
Polydivisibility
Groups
Rubik
Differences
Chinese Remainders
Mersenne