Preface to ‘How the other half thinks: Adventures in mathematical reasoning’
Occasionally, in some difficult musical compositions, there are beautiful, but easy parts – parts so simple a Q9 beginner could play them. So it is with mathematics as well. There are some discoveries in advanced mathematics that do not depend on specialized knowledge, not even on algebra, geometry, or trigonometry. Instead they may involve, at most, a little Q10 arithmetic, such as ‘the sum of two odd numbers is even’, and common sense. Each of the eight chapters in this book illustrates this phenomenon. Q7 Anyone can understand every step in the reasoning.