Visual Thinking in Mathematics

Marcus Giaquinto presents an investigation into the different kinds of visual thinking involved in mathematical thought, with chapters on basic geometry, arithmetic, algebra, and more advanced mathematics. He argues that the use of mental images and physical diagrams is rarely just a superfluous aid: it is often a means of discovery, understanding, and even proof. Drawing on work in cognitive psychology, philosophy, and mathematics, this book will appeal to anyone with an interest in mathematical thinking.