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 v
... human culture . For some time I have followed with great interest Professor Morris Kline's work on the present book . I believe that it will prove a major contribution and help to bring the mathematical sciences closer to people who ...
... human culture . For some time I have followed with great interest Professor Morris Kline's work on the present book . I believe that it will prove a major contribution and help to bring the mathematical sciences closer to people who ...
Страница vii
... human achieve- ment mathematics offers satisfactions and aesthetic values at least 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 ...
... human achieve- ment mathematics offers satisfactions and aesthetic values at least 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 ...
Страница ix
... human reason may serve in some small measure to reinforce those ideals of our civiliza- tion which are in danger of destruction today . The burning prob- lems of the hour may be political and economic . Yet it is not in those fields ...
... human reason may serve in some small measure to reinforce those ideals of our civiliza- tion which are in danger of destruction today . The burning prob- lems of the hour may be political and economic . Yet it is not in those fields ...
Страница xi
... Human Nature , 322 XXII The Mathematical Theory of Ignorance : The Statistical Ap- proach to the Study of Man , 340 XXIII XXIV Prediction and Probability , 359 Our Disorderly Universe : The Statistical View of Nature , 376 XXV The ...
... Human Nature , 322 XXII The Mathematical Theory of Ignorance : The Statistical Ap- proach to the Study of Man , 340 XXIII XXIV Prediction and Probability , 359 Our Disorderly Universe : The Statistical View of Nature , 376 XXV The ...
Страница xii
... Human Figure VII Early Christian Mosaic : Abraham with Angels VIII Simone Martini : The Annunciation IX Duccio : Madonna in Majesty X Duccio : The Last Supper XI Giotto : The Death of St. Francis XII Giotto : Salome's Dance XIII ...
... Human Figure VII Early Christian Mosaic : Abraham with Angels VIII Simone Martini : The Annunciation IX Duccio : Madonna in Majesty X Duccio : The Last Supper XI Giotto : The Death of St. Francis XII Giotto : Salome's Dance XIII ...
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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