Mathematics in Western CultureOxford 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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Страница 1
... conclusions from cer- tain consequences . But they did not seem to make it sufficiently plain to the mind itself why these things are so , and how they discovered them . Conse- quently I was not surprised that many people , even of ...
... conclusions from cer- tain consequences . But they did not seem to make it sufficiently plain to the mind itself why these things are so , and how they discovered them . Conse- quently I was not surprised that many people , even of ...
Страница 6
... conclusions affords high aesthetic satisfaction to the creator . If in- sight and imagination , symmetry and proportion , lack of superfluity , and exact adaption of means to ends are comprehended in beauty and are characteristic of ...
... conclusions affords high aesthetic satisfaction to the creator . If in- sight and imagination , symmetry and proportion , lack of superfluity , and exact adaption of means to ends are comprehended in beauty and are characteristic of ...
Страница 11
... conclusions , the Greek mathematicians were concerned not with guaranteeing applicability to practical problems but with teaching men to reason abstractly and with preparing them to contemplate the ideal and the beautiful . It should be ...
... conclusions , the Greek mathematicians were concerned not with guaranteeing applicability to practical problems but with teaching men to reason abstractly and with preparing them to contemplate the ideal and the beautiful . It should be ...
Страница 23
... conclusion , it would be handed down to posterity as a reliable mathematical fact . Of course , the conclusion is by no means estab- lished and no modern mathematics student would be permitted to ' prove ' it in this manner . About the ...
... conclusion , it would be handed down to posterity as a reliable mathematical fact . Of course , the conclusion is by no means estab- lished and no modern mathematics student would be permitted to ' prove ' it in this manner . About the ...
Страница 24
... conclusions . Its formulas were the accretion of ages of experiènce much as many medical prac- tices and remedies are today . Though experience is no doubt a good teacher , in many situations it would be a most inefficient way of ...
... conclusions . Its formulas were the accretion of ages of experiènce much as many medical prac- tices and remedies are today . Though experience is no doubt a good teacher , in many situations it would be a most inefficient way of ...
Садржај
3 | |
13 | |
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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Чести термини и фразе
abstract algebra angle applied Archimedes Aristotle astronomical ball behavior believed calculate circle civilization co-ordinates concepts conclusions Copernicus curve deductive deductive reasoning Desargues Descartes distance Earth eighteenth century ematical equal equation Euclid Euclidean geometry example existence fact figure force formula frequency Galileo graph gravitation Greek heavenly bodies heliocentric theory Hence Hipparchus human ical ideas infinite Kepler knowledge laws of motion Leibniz light Lobatchevsky logical mass mathe mathematical laws mathematicians matics matter means measure medieval method mind modern molecules moon moving nature Newton Newtonian non-Euclidean geometry objects observation obtain painting parabola parallel axiom path perspective phenomena philosophy physical world planets Plato position principle probability problems projective geometry quantity rate of change rational reason relation religion Renaissance scientific scientists sine sound space speed sphere straight line surface theorems theory theory of relativity thought tion triangle truths tuning fork universe velocity waves
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