The concept of the circle is ubiquitous. It can be described mathematically, represented physically, and employed technologically. The circle is an elegant, abstract form that has been transformed by humans into tangible practical forms to make our lives easier. And yet no one has ever discovered a true mathematical circle. Rainbows are fuzzy, and even the most precise roller bearings have measurable irregularities.

Beginning with the ancient mathematicians and culminating in 20th-century theories of space and time, the mathematics of the circle has pointed many investigators in fruitful directions in their quests to unravel nature's secrets. 

Throughout his book, using clear illustrations and easy-to-follow mathematical reasoning, Zebrowski emphasises the concepts underlying these mathematicians' calculations and how these concepts are linked to real life examples.