A Tour of the Calculus

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Edition: Reprint
Format: Paperback
Pub. Date: 1997-01-28
Publisher(s): Vintage
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Summary

Were it not for the calculus, mathematicians would have no way to describe the acceleration of a motorcycle or the effect of gravity on thrown balls and distant planets, or to prove that a man could cross a room and eventually touch the opposite wall. Just how calculus makes these things possible and in doing so finds a correspondence between real numbers and the real world is the subject of this dazzling book by a writer of extraordinary clarity and stylistic brio. Even as he initiates us into the mysteries of real numbers, functions, and limits, Berlinski explores the furthest implications of his subject, revealing how the calculus reconciles the precision of numbers with the fluidity of the changing universe. "An odd and tantalizing book by a writer who takes immense pleasure in this great mathematical tool, and tries to create it in others."--New York Times Book Review

Author Biography

David Berlinksi was born in New York City. He received a B.A. degree from Columbia College and a Ph.D. from Princeton University. He has taught mathematics and philosophy at universities in the United States and France.

Table of Contents

Introductionp. xi
A Note to the Readerp. xv
The Frame of the Bookp. xvii
Masters of the Symbolsp. 3
Symbols of the Mastersp. 9
The Black Blossoms of Geometryp. 16
Cartesian Coordinatesp. 21
The Unbearable Smoothness of Motionp. 30
Yop. 35
Thirteen Ways of Looking at a Linep. 40
The Doctor of Discoveryp. 44
Real World Risingp. 54
Forever Familiar, Forever Unknownp. 61
Some Famous Functionsp. 75
Speed of Sortsp. 92
Speed, Strange Speedp. 106
Paris Daysp. 118
Prague Interludep. 129
Memory of Motionp. 155
The Dimpled Shoulderp. 173
Wrong Way Rollep. 190
The Mean Value Theoremp. 198
The Song of Igorp. 217
Areap. 244
Those Legos Vanishp. 252
The Integral Wishes to Compute an Areap. 268
The Integral Wishes to Become a Functionp. 274
Between the Living and the Deadp. 282
A Farewell to Continuityp. 304
Epiloguep. 311
Acknowledgmentsp. 313
Indexp. 315
Table of Contents provided by Ingram. All Rights Reserved.

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