Nice Numbers

Preface.- Measures.- Amicable numbers.- Probability.- Fractions.- Time.- Notations.- Bells.- Primes.- Music.- Finale.- Appendix.

Dr Barnes' principal achievements have been in the area of computer programming language design. He designed the language RTL/2 whilst with ICI. This was widely used in the 1970s and 80s for process control in the UK, the Netherlands and South Africa. The first ticket barrier system on the London Underground was an early example. He was a member of the Ada language design teams. Ada is widely used in safety critical applications such as those found in defence systems generally, avionics, air traffic control and railroad signalling. He has published twelve books: RTL/2 Design and Philosophy (1976); Programming in Ada (1982); Programming in Ada 95 (1996); High Integrity Ada (1997); Ada 95 Rationale (1997); High Integrity Software (2003); Programming in Ada 2005 (2006); Ada 2005 Rationale (2008); Gems of Geometry (2009); SPARK (2012); Ada 2012 Rationale (2013); Programming in Ada 2012 (2014). "Programming in Ada" went through four editions and was translated into six languages.
Dr Barnes has published many papers and given many lectures and tutorials on various aspects of programming. Although moving towards retirement he still gives occasional lectures including lectures for postgraduate courses. He has recently rediscovered an interest in mathematics and has given a number of popular courses at the Universities of Reading and Oxford as part of their Continuing Education programs; Gems of Geometry (now in a second edition) is based on one set of these courses.

"Nice numbers delivers a multi-layered experience to readers of differing mathematical knowledge. ... The versatility of this book means that it is suitable for anything between a few paragraphs' glance up to a serious level of study. Those of all mathematical abilities will be able to pick it up and find something that interests them and their level of engagement." (Harry Gray, Plus, plus.maths.org, August, 2018)

"The lectures comprise the ten chapters of the book. ... the book is suitable for any reader who can do high school level mathematics and has the interest and curiosity to follow Barnes on his wide-ranging explorations. Each chapter ends with suggestions for further reading; most chapters have someexercises for the reader to attempt ... ." (Michael Caulfield, MAA Reviews, July, 2017)