Mathematics in Western Culture

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Oxford University Press, 31. 12. 1964. - 512 страница
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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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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Страница 284 - Ah, love, let us be true To one another! for the world, which seems To lie before us like a land of dreams, So various, so beautiful, so new, Hath really neither joy, nor love, nor light, Nor certitude, nor peace, nor help for pain; And we are here as on a darkling plain Swept with confused alarms of struggle and flight, Where ignorant armies clash by night.
Страница 267 - STRONG Son of God, immortal Love, Whom we, that have not seen thy face, By faith, and faith alone, embrace, Believing where we cannot prove; Thine are these orbs of light and shade; Thou madest Life in man and brute ; Thou madest Death; and lo, thy foot Is on the skull which thou hast made. Thou wilt not leave us in the dust: Thou madest man, he knows not why, He thinks he was not made to die; And thou hast made him: thou art just.
Страница 281 - From harmony, from heavenly harmony This universal frame began : From harmony to harmony Through all the compass of the notes it ran, The diapason closing full in Man.
Страница 198 - I do not know what I may appear to the world, but to myself I seem to have been only like a boy playing on the sea-shore, and diverting myself in now and then finding a smoother pebble or a prettier shell than ordinary, whilst the great ocean of truth lay all undiscovered before me.
Страница 281 - In Mathematics he was greater Than Tycho Brahe, or Erra Pater: For he, by geometric scale, Could take the size of pots of ale; Resolve, by sines and tangents straight, If bread or butter wanted weight; And wisely tell what hour o' th' day The clock does strike, by Algebra.
Страница 267 - We have but faith: we cannot know, For knowledge is of things we see; And yet we trust it comes from thee, A beam in darkness: let it grow.
Страница 122 - Did wisely to conceal, and not divulge His secrets, to be scann'd by them who ought Rather admire...

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