Have you ever wondered how high a flea of the size of a human could jump, why rivers meander or how high a tree can grow? Mathematics in Nature provides answers to all these questions and many more, while introducing the reader to the ideas and methods of mathematical modelling.
In our day-to-day lives we all use, and are in fact dependent on, physics. For example, all of modern (and not so modern!) technology relies on our knowledge of underlying physical principles. However, physics is also one of the most commonly feared sciences, with many people put off by the complex details which have developed alongside the subject's sophistication.
I have never before read a book that has so frequently made me think "wow, that's interesting!". "Mathematics for the Imagination" is an absolutely fascinating account of mathematical methods and discoveries and the people behind them, with the sordid histories of mathematicians through the ages jostling for the reader's attention next to their elegantly simple proofs.
"Economic theory predicts that you are not enjoying this book as much as you thought you would", remarks Steven E. Landsburg at the start of one of the most enjoyable chapters of The Armchair Economist. The point turns out to be this: the fact that you have chosen to read it is a sign that you have probably overvalued it in relation to all the other books you could have read instead.
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.
After years of publications on popular science and mathematics, we all know that mathematics can provide answers to questions arising from everyday life. If we want to find out when the two hands of a clock will be in exactly the same position or to calculate the volume of a doughnut, we will certainly need to use some maths. But how difficult can this be?
"As long as a branch of science offers an abundance of problems", proclaimed David Hilbert, "so is it alive". These words were delivered in the German mathematician's famous speech at the 1900 International Congress of Mathematics. He subsequently went on to describe 23 problems which he believed would spur on mathematical thought for the upcoming century.
"Mathematical Apocrypha" is, as its subtitle intimates, a book of stories and anecdotes about mathematicians and the mathematical. However, in contrast with many books about mathematicians, Steven Krantz focuses on contemporary figures such as Wiener, Littlewood and Hardy, and says very little about the usual myths regarding Pythagoras, Descartes or Euler.