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The Art of the Infinite : The Pleasures of Mathematics by Robert Kaplan |
An Imaginary Tale: The Story of "i" [the square root of minus one] by Paul J. Nahin
$11.53
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Out of the Labyrinth: Setting Mathematics Free by Robert Kaplan
$16.50
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A History of Pi by Petr Beckmann
$10.17
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The Book Thief (Readers Circle) by Markus Zusak
$7.19
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Robert Kaplan is a mathematics teacher, and he organizes his cabinet around--nothing. How did we come to have a symbol for zero? Who used it first? Usually the invention (or discovery) of zero is given as occurring in India in about the year 600 CE. Kaplan gives much more shrift to Sumerian, Babylonian, and Greek experiments with abacuses, counting boards, positional notation, and abstract thought. He acknowledges that his approach will be controversial:
Haven't all our dots funneled back to India? Were zero and the variable not truly born here, twin offspring of sunya and what seems the singularly Indian understanding of vacancy as receptive? But like an hour-glass, the funnel opens out again and the dots stream down to ancient Greece.
Kaplan's meditations on zero are not confined to its origin. He muses on the "zero of self," on infinitesimals, on the Mayan zero, and on the nothingness of suicide. Throughout, he shows "a sensuous delight in syllables," a love of words as well as numbers, that makes the book a feast for both halves of the brain. --Mary Ellen Curtin
--This text refers to the
Hardcover
edition.
From Publishers Weekly
We know how useful it is to call nothing a number, but our ancestors didn't: without the idea of zero, complicated arithmetic was hard enough, and algebraAlet alone modern higher mathAunthinkable. Kaplan elucidates expertly the history and uses of the symbol for nothing at all not only in math, and the history of math and science, but also in historical linguistics, medieval metaphysics, accounting, pedagogy and literary interpretation. Among the questions he poses: What psychological and symbolic meanings did zero have for medieval mystics? Sumerians invented positional notation (the convention that lets the 8 in 283 mean 80, not 8); ancient Greeks had to conquer the Babylonians even to learn that. It was in India that the idea arose of treating no-thing as a number just like one-thing or two-things. (Kaplan suggests that the circular symbol arose from the depression left by a counting stone removed from sand.) The zero idea spread through the Arab world to Europe and China. A cast of mathematical thinkers, among them Archimedes, Aryabhata and John von Neumann, join less likely figures in Kaplan's bevy of anecdotes, among the latter Meister Eckhart, Dostoevsky, Sylvia Plath and Wallace Stevens (the source of the book's title). Kaplan's eloquence can blur the line between metaphor and consequence: the "fluidity of position" that zero brought to European arithmetic indeed helped cause Renaissance social "fluidity," but only through a very long chain of effects. More often, Kaplan is entertaining, clear and to the (decimal) point. Who knew there was so much to say about nothing? 40,000 first printing; author tour; foreign rights sold in Italy, the Netherlands, the U.K., Germany, Brazil. (Oct.)
Copyright 1999 Reed Business Information, Inc.
--This text refers to the
Hardcover
edition.
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