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The Nothing That Is: A Natural History of Zero

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The Nothing That Is: A Natural History of Zero Cover

 

Synopses & Reviews

Publisher Comments:

A symbol for what is not there, an emptiness that increases any number it's added to, an inexhaustible and indispensable paradox. As we welcome the new millennium, zero is once again making its presence felt. Nothing itself, it makes possible a myriad of calculations. Indeed, without zero mathematics as we know it would not exist. And without mathematics our understanding of the universe would be vastly impoverished. But where did this nothing, this hollow circle, come from? Who created it? And what, exactly, does it mean?

Robert Kaplan's The Nothing That Is: A Natural History of Zero begins as a mystery story, taking us back to Sumerian times, then to Greece and India, piecing together the way the idea of a symbol for nothing evolved. For Kaplan, the history of zero is a lens for looking not only into the evolution of mathematics but into very nature of human thought. He points out how the history of mathematics is a process of recursive abstraction: how once a symbol is created to represent an idea, that symbol itself gives rise to new operations that in turn lead to new ideas. The beauty of mathematics is that even though we invent it, we seem to be discovering something that already exists.

The joy of that discovery shines from Kaplan's pages, as he ranges from Archimedes to Einstein, making fascinating connections between mathematical insights from every age and culture.

Synopsis:

In the tradition of "Longitude, " a small and engagingly written book on the history and meaning of zero--a "tour de force" of science history that takes us through the hollow circle that leads to infinity. 32 illustrations.

About the Author

Robert Kaplan has taught mathematics to people from six to sixty, most recently at Harvard University. In 1994, with his wife Ellen, he founded The Math Circle, a program, open to the public, for the enjoyment of pure mathematics. He has also taught Philosophy, Greek, German, Sanskrit, and Inspired Guessing. Robert Kaplan lives in Cambridge, MA.

Table of Contents

Acknowledgments

A Note to the Reader

0. The Lens

1. Mind Puts Its Stamp on Matter

2. The Greeks Had No Word for It

3. Travelers' Tales

4. Eastward

5. Dust

6. Into the Unknown

7. A Paradigm Shifts

8. A Mayan Interlude: The Dark Side of Counting

9. Much Ado: 1. Envoys of Emptiness, 2. A Sypher in Augrim, 3. This Year, Next Year, Sometime, Never, 4. Still It Moves

10. Entertaining Angels: 1. The Power of Nothing, 2. Knowing Squat, 3. The Fabric of This Vision, 4. Leaving No Wrack Behind

11. Almost Nothing: 1. Slouching Toward Bethlehem, 2. Two Victories, a Defeat and Distant Thunder

12. Is It Out There?

13. Bath-house with Spiders

14. A Land Where It Was Always Afternoon

15. Was Lear Right?

16. The Unthinkable

Index

Product Details

ISBN:
9780195128420
Author:
Kaplan, Ellen
Author:
Kaplan, Ellen
Author:
null, Ellen
Author:
null, Robert
Publisher:
Oxford University Press, USA
Location:
Oxford ;
Subject:
History
Subject:
Mathematics
Subject:
Number Theory
Subject:
Arithmetic
Subject:
Zero (The number)
Subject:
History -- Philosophy.
Subject:
Mathematics-Number Theory
Publication Date:
19991031
Binding:
HARDCOVER
Grade Level:
General/trade
Language:
English
Illustrations:
38 line illus.
Pages:
240
Dimensions:
7.7 x 4.9 x 1.1 in 0.75 lb

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Related Subjects


Reference » Science Reference » Philosophy of Science
Science and Mathematics » History of Science » General
Science and Mathematics » Mathematics » Basics
Science and Mathematics » Mathematics » History
Science and Mathematics » Mathematics » Number Theory
Science and Mathematics » Mathematics » Popular Surveys and Recreational

The Nothing That Is: A Natural History of Zero New Hardcover
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Product details 240 pages Oxford University Press - English 9780195128420 Reviews:
"Synopsis" by , In the tradition of "Longitude, " a small and engagingly written book on the history and meaning of zero--a "tour de force" of science history that takes us through the hollow circle that leads to infinity. 32 illustrations.

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