"Inspiring and informative...deserves to be widely read."
-Wall Street Journal
"This fun book offers a philosophical take on number systems and revels in the beauty of math."
-Science News
Because we have ten fingers, grouping by ten seems natural, but 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 rote manipulation of numbers-a practical if mundane branch of knowledge best suited for filling out tax forms-but as 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.
"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
"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
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Paul Lockhart is the author of¿Arithmetic, Measurement,¿and¿A Mathematician's Lament. After a career as a research mathematician at Brown University and the University of California, Santa Cruz, he spent two decades teaching algebra at Saint Ann's School in Brooklyn.
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Paperback. Zustand: New. "Inspiring and informative.deserves to be widely read."-Wall Street Journal"This fun book offers a philosophical take on number systems and revels in the beauty of math."-Science NewsBecause we have ten fingers, grouping by ten seems natural, but 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 rote manipulation of numbers-a practical if mundane branch of knowledge best suited for filling out tax forms-but as 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."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"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. Bestandsnummer des Verkäufers LU-9780674237513
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Paperback. Zustand: new. Paperback. Because evolution endowed humans with a complement of ten fingers, a grouping size of ten seems natural to us, perhaps even ideal. But from the perspective of mathematics, groupings of ten are arbitrary, and can have serious shortcomings. Twelve would be better for divisibility, and eight is smaller and well suited to repeated halving. Grouping by two, as in binary code, has turned out to have its own remarkable advantages.Paul Lockhart reveals arithmetic not as the rote manipulation of numbers-a practical if mundane branch of knowledge best suited for balancing a checkbook or filling out tax forms-but as a set of ideas that exhibit the fascinating and sometimes surprising behaviors usually reserved for higher branches of mathematics. The essence of arithmetic is the skillful arrangement of numerical information for ease of communication and comparison, an elegant intellectual craft that arises from our desire to count, add to, take away from, divide up, and multiply quantities of important things. Over centuries, humans devised a variety of strategies for representing and using numerical information, from beads and tally marks to adding machines and computers. Lockhart explores the philosophical and aesthetic nature of counting and of different number systems, both Western and non-Western, weighing the pluses and minuses of each.A passionate, entertaining survey of foundational ideas and methods, Arithmetic invites readers to experience the profound and simple beauty of its subject through the eyes of a modern research mathematician. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Bestandsnummer des Verkäufers 9780674237513
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Soft cover. Zustand: New. Because we have ten fingers, grouping by ten seems natural, but 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 rote manipulation of numbers--a practical if mundane branch of knowledge best suited for filling out tax forms--but as 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. Bestandsnummer des Verkäufers 9780674237513
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Zustand: New. 2019. Reprint. Paperback. . . . . . Bestandsnummer des Verkäufers V9780674237513
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