Paul Erdös is reported to have said "A mathematician is a machine for turning coffee into theorems". We may never know if he appreciated the mathematics behind the perfect dunk of a biscuit into said coffee, but we can all begin to understand the ubiquity of maths in our lives, thanks to Len Fisher's delightful book. The subtitle is "The science of everyday life", though pretty much all the content is maths with the equations (mostly) taken out. Perhaps Professor Fisher was advised that sales would suffer if they weren't, but anyone interested in the applications of mathematics to the real world will find plenty to amuse and educate.
Gerd Gigerenzer is not a mathematician or statistician per se, but primarily a psychologist, working across disciplines to understand how human beings make decisions in the face of uncertainty. What he offers here is nothing less than a prescription for how to think, how to choose, and how to live, when the information on which we base our decisions is necessarily incomplete and flawed. For example - how worried should you be if you have a positive mammogram as part of a screening programme for breast cancer, or a positive HIV test despite the fact that you are in a low-risk group?
Despite its title, Carl Djerassi's latest play, Calculus, is more like a lesson in history or even psychology than one in mathematics. This is because Djerassi's intention was to explore the moral calculus that was involved in the discovery of the mathematical technique, rather than the technique itself.
During September and October, the Isaac Newton Institute for Mathematical Sciences showed a small exhibition of two suites of photo-etchings with mathematical components by the Canadian artist Catherine M Stewart, who studied both maths and physics in the course of her undergraduate degree at the University of Toronto. Elements of Grace is a collection of 12 photo-etchings which combine diagrams from Newton's Principia Mathematica (1729) with photodetails of the human body.
Anyone who thought geometry was boring or dry should prepare to be amazed. Despite its worthy cover this book is exactly what its title says - a story - and the plot of this story involves life, death and revolutions of understanding and belief, and stars the some of the most famous names in history.
First the executive summary: read these excellent books, and make sure all your friends and relations and bright pupils (if you are a teacher) or teachers (if a bright pupil) do so too. Mathematical Vistas (MV) is the sequel to the same authors' earlier Mathematical Reflections (MR). Each book is a series of explorations of mathematical topics, informed by a definite idea of what mathematics is, and how it should be taught.
This book is by the same authors as "Why do buses come in threes?", which was reviewed in Issue 10 of Plus. Like its predecessor, it consists of entertaining and thoughtprovoking questions on topics not obviously related to maths, and a discussion of each. The authors say that "give us a topic that we care about, and we all become mathematicians", and set out to prove it.