Because we have ten fingers, grouping by ten seems natural, but it has serious shortcomings. Twelve would be better for divisibility, and eight is well suited to repeated halving. Grouping by two, as in binary code, has turned out to have its own remarkable advantages.
Paul Lockhart presents arithmetic not as a rote manipulation of numbers--a practical if mundane branch of knowledge best suited for filling out tax forms--but a fascinating, sometimes surprising intellectual craft that arises from our desire to add, divide, and multiply important things. Passionate and entertaining, Arithmetic invites us to experience the beauty of mathematics through the eyes of a beguiling teacher.
"Inspiring and informative ... deserves to be widely read."
--Wall Street Journal
"A nuanced understanding of working with numbers, gently connecting procedures that we once learned by rote with intuitions long since muddled by education...Lockhart presents arithmetic as a pleasurable pastime, and describes it as a craft like knitting."
--Jonathon Keats, New Scientist
"This fun book offers a philosophical take on number systems and revels in the beauty of math."
--Science News
"What are numbers, how did they arise, why did our ancestors invent them, and how did they represent them? They are, after all, one of humankind's most brilliant inventions, arguably having greater impact on our lives than the wheel. Lockhart recounts their fascinating story.... A wonderful book."
--Keith Devlin, author of Finding Fibonacci
Industry Reviews
Today's world is more dependent on numbers than at any time in human history, yet with the ready availability of cheap, reliable devices that handle computation, we have never had less need to master arithmetic. Our newfound freedom from the chore of hand computation makes it both possible and, Paul Lockhart argues in this wonderful new book, desirable to step back and reflect on the entire development of arithmetic over several millennia. What are numbers, how did they arise, why did our ancestors invent them, and how did they represent them? They are, after all, one of humankind's most brilliant inventions, arguably having greater impact on our lives than the wheel. Lockhart recounts their fascinating story. -- Keith Devlin, mathematician, author of The Man of Numbers and Finding Fibonacci
What an exuberant, exciting invitation to take joy in the wonderful human activity of counting, and to think deeply about its many origins. Marvelously personal, quite surprising at times, and fun to read. -- Barry Mazur, Gerhard Gade University Professor at Harvard University, coauthor of Prime Numbers and the Riemann Hypothesis
Once I started reading, the text proved mind-blowing. Some of the most ingrained and fundamental assumptions about the way we count and understand numbers are here deconstructed and shown to be arbitrary... For the mathematical layman, this book will be a very pleasant surprise... I am delighted to say that Lockhart is a fabulously entertaining writer, and that his light-hearted approach managed to keep me cheerfully engaged even when his discussions were most abstract... It's in equal measures entertaining and educational, and a pleasant surprise on more levels than one. -- Andrea Tallarita * PopMatters *
Arithmetic is inspiring and informative, and deserves to be widely read. -- Jane Gleeson-White * Wall Street Journal *
Beginning with counting and moving through topics such as multiplication and fractions, Arithmetic provides a nuanced understanding of working with numbers, gently connecting procedures that we once learned by rote with intuitions long since muddled by education...Lockhart presents arithmetic as a pleasurable pastime, and describes it as a craft like knitting. Manipulating calculi on a tabula, you can see what he means. -- Jonathon Keats * New Scientist *
More than just an informative survey of the fundamentals of basic arithmetic, this fun book offers a philosophical take on number systems and revels in the beauty of math. * Science News *
