The Mathematical Experience

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Houghton Mifflin Harcourt, 1998 - Mathematics - 440 pages
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This is the classic introduction for the educated lay reader to the richly diverse world of mathematics: its history, philosophy, principles, and personalities.
 

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Contents

Overture
1
Varieties of Mathematical Experience
31
A Conventionalist
68
Symbols
122
Generalization
134
Mathematical Objects and Structures Exis
140
Proof
147
The Stretched String
158
Selected Topics in Mathematics
202
Confessions of a Prep School Math
272
Polyas Craft of Discovery
285
Comparative Aesthetics
298
From Certainty to Fallibility
317
The Riemann Hypothesis
363
TT and 7T
369
Why Should I Believe a Computer?
380

The Aesthetic Component
168
Algorithmic vs Dialectic Mathematics
180
The Drive to Generality and Abstraction
187
Mathematics as Enigma
196
Classification of Finite Simple Groups
387
FourDimensional Intuition
400
True Facts About Imaginary Objects
406
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About the author (1998)

Phillip J. Davis is professor of applied mathematics at Brown University.

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