Mathematician and physicist John Baez declares himself fascinated by exceptions in mathematics. This interest has led him to study the octonions, and, through them, to find out more about the origins of complex numbers and quaternions. In the first of two articles, he talks about connections between algebra and geometry, and the importance of lateral thinking in mathematics.
It feels like we've always known that the universe began with a Big Bang, and like the Big Bang could never have been called anything else. But this is far from the truth, as Simon Singh explains in this overview of the state of human knowledge about the beginning of everything (or, as Calvin of "Calvin and Hobbes" preferred to call it, the Great Kablooie).
This book from Professor Sir Michael Marmot (knighted for his services to epidemiology and understanding health inequalities) is concerned with a very simple question: why do people of higher status have better health and live longer than those of lower status?
Although this book is 50 years old this year, its wisdom is needed now more than ever, as increasing computer power and our headline-obsessed media look set to drown us all in a sea of "statisticulation". This is the word coined by Darrell Huff to describe misinformation by the use of statistical material. Biased samples, dubious graphs, semi-attached figures: he describes all the usual suspects clearly and simply, rounding off with the most useful topic of all: How to Talk Back to a Statistic.
John Allen Paulos is the man who popularised the word "innumeracy", meaning the all-too-common condition of ignorance and bewilderment about maths and numbers in general. A light, cheerful and ever-so-slightly smug look at the problem, his best-known book of the same name (reviewed in Issue 11 of Plus) traces the roots of innumeracy to poor teaching and offers suggestions for antidotes and innoculation.