From basic arithmetic to algebraic equations, from the purely practical to the abstract, this is a guide to the potential of maths. Patterns emerge from the simplest grouping of numbers. The many secrets hidden inside triangles are revealed, as are the origins of a host of mathematical theories and principles, from Aristotle to Euclid and Galileo. On a journey from the Ancient Greeks to quantum theory, Wells shares anecdotes from history, such as how 18th-century European military commanders calculated how many cannonballs their enemies had stacked up next to their cannons. Offering a comprehensive look at the myriad aspects of mathematics - whether as a household helper or a tool of science - this book covers a wide range of topics and applications.