Reviews

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.
Euclid defined what later became known as the Golden Ratio thus: A straight line is said to have been cut in extreme and mean ratio when, as the whole line is to the greater segment, so is the greater to the lesser.
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.
Sherman Stein's motivation for writing this book grew out of a course on the history of calculus for undergraduates he taught for several years. Before that, like most of us, he didn't know where Archimedes' reputation as one of the greatest mathematicians of all time had come from - and now he wants us to know too.