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 vii
... equal to those offered by any other branch of our culture . Despite these by no means modest contributions to our life and thought , educated people almost universally reject mathematics as an intellectual interest . This attitude ...
... equal to those offered by any other branch of our culture . Despite these by no means modest contributions to our life and thought , educated people almost universally reject mathematics as an intellectual interest . This attitude ...
Страница 8
... each having an arm of the triangle as a side and if we construct a square having the hypotenuse of the triangle for its side , then the area of the third square is equal to the sum of the areas of 8 MATHEMATICS IN WESTERN CULTURE.
... each having an arm of the triangle as a side and if we construct a square having the hypotenuse of the triangle for its side , then the area of the third square is equal to the sum of the areas of 8 MATHEMATICS IN WESTERN CULTURE.
Страница 9
Morris Kline. square is equal to the sum of the areas of the first two . ' But no mathematician would deign to express himself that way . He prefers : ' The sum of the squares on the arms of a right triangle equals the square on the ...
Morris Kline. square is equal to the sum of the areas of the first two . ' But no mathematician would deign to express himself that way . He prefers : ' The sum of the squares on the arms of a right triangle equals the square on the ...
Страница 12
... equals in ability and accomplishments . On the other hand , though Euclid and Archimedes were undoubtedly supreme thinkers and though our mathematicians have been able to reach farther only because , as Newton put it , they stood on the ...
... equals in ability and accomplishments . On the other hand , though Euclid and Archimedes were undoubtedly supreme thinkers and though our mathematicians have been able to reach farther only because , as Newton put it , they stood on the ...
Страница 22
... of them ; hence he cannot determine the best choice . An alert farmer might notice that the more nearly equal the two dimensions are the smaller the perimeter required . He might suspect , then , that the 22 MATHEMATICS IN WESTERN CULTURE.
... of them ; hence he cannot determine the best choice . An alert farmer might notice that the more nearly equal the two dimensions are the smaller the perimeter required . He might suspect , then , that the 22 MATHEMATICS IN WESTERN CULTURE.
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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