Mathematics in Western Culture

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Oxford University Press, Dec 31, 1964 - Mathematics - 512 pages
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This book gives a remarkably fine account of the influences mathematics has exerted on the development of philosophy, the physical sciences, religion, and the arts in Western life.
 

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Contents

Introduction True and False Conceptions
3
The Rule of Thumb in Mathematics
13
The Birth of the Mathematical Spirit
24
The Elements of Euclid
40
Placing a Yardstick to the Stars
60
Nature Acquires Reason
74
Interlude
89
Renewal of the Mathematical Spirit
99
The Newtonian Influence Religion
257
The Newtonian Influence Literature and Aesthetics
272
The Sine of G Major
287
Mastery of the Ether Waves
304
The Science of Human Nature
322
The Mathematical Theory of Ignorance The Statistical Approach to the Study of Man
340
Prediction and Probability
359
Our Disorderly Universe The Statistical View of Nature
376

The Harmony of the World
110
Painting and Perspective
126
Science Born of Art Projective Geometry
144
A Discourse on Method
159
The Quantitative Approach to Nature
182
The Deduction of Universal Laws
196
Grasping the Fleeting Instant The Calculus
214
The Newtonian Influence Science and Philosophy
234
The Paradoxes of the Infinite
395
New Geometries New Worlds
410
The Theory of Relativity
432
Mathematics Method and Art
453
SELECTED REFERENCES
473
INDEX
477
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Visual Thinking
Rudolf Arnheim
Limited preview - 2004
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