Robert & Ellen Kaplan – The Art Of The Infinite

In this delightful new book, Robert Kaplan, writing together with his wife Ellen Kaplan, once again takes us on a witty, literate, and accessible tour of the world of mathematics. Where The Nothing That Is looked at math through the lens of zero, The Art of the Infinite takes infinity, in its countless guises, as a touchstone for understanding mathematical thinking. Tracing a path from Pythagoras, whose great Theorem led inexorably to a discovery that his followers tried in vain to keep secret (the existence of irrational numbers); through Descartes and Leibniz; to the brilliant, haunted Georg Cantor, who proved that infinity can come in different sizes, the Kaplans show how the attempt to grasp the ungraspable embodies the essence of mathematics. The Kaplans guide us through the “Republic of Numbers,” where we meet both its upstanding citizens and more shadowy dwellers; and we travel across the plane of geometry into the unlikely realm where parallel lines meet. Along the way, deft character studies of great mathematicians (and equally colorful lesser ones) illustrate the opposed yet intertwined modes of mathematical thinking: the intutionist notion that we discover mathematical truth as it exists, and the formalist belief that math is true because we invent consistent rules for it.  “Less than All,” wrote William Blake, “cannot satisfy Man.” The Art of the Infinite shows us some of the ways that Man has grappled with All, and reveals mathematics as one of the most exhilarating expressions of the human imagination.

This book is in Good readable condition. It has been read and may show some age & wear to the wraps/boards, or light creasing/wear to the pages. The binding may show very minimal wear, or be fully intact. Generally, most wear will solely be superficial.

*This came from a former professor’s collection, who used low-tack post-it notes to bookmark/annotate his books. Most of them have been removed, however it is possible that a stray few were overlooked. If this is the case, they are both unobtrusive and easily removable. Additionally, there may be annotations. In most, however not all cases, they are solely in the introduction/foreword. Any clarifying questions should be emailed to tornlight@gmail.com*

*Image in the listing is stock. There may be variation in the actual product.