Mathematics and the Search for KnowledgeOxford University Press, USA, 18 հլս, 1985 թ. - 272 էջ Requires a minimum of technical knowledge and gives an illuminating oversight of the historical developments...with many interesting observations along the way.--Proceedings of the Edinburgh Mathematical Society The lively writing makes this suitable supplementary reading for advanced undergraduates from many disciplines. An extensive and often technical bibliography is included for those who want to go further. |
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Is There an External World? | 3 |
The Failings of the Senses and Intuition | 21 |
The Rise and Role of Mathematics | 38 |
The Astronomical Worlds of the Greeks | 51 |
The Heliocentric Theory of Copernicus and Kepler | 68 |
Mathematics Dominates Physical Science | 86 |
Mathematics and the Mystery of Gravitation | 107 |
Mathematics and the Imperceptible Electromagnetic World | 126 |
The Relativistic World | 163 |
Quantum Theory | 181 |
The Reality of Mathematical Physics | 197 |
Why Does Mathematics Work? | 210 |
Mathematics and Natures Behavior | 228 |
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A Prelude to the Theory of Relativity | 148 |
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accepted Almagest appear Aristotle astronomical atoms behavior believed called causality cause century coil concepts Copernicus deductions Descartes discovered distance doctrine Earth effect Einstein electric electromagnetic induction electromagnetic waves electrons ematics energy epicycle equations ether Euclid Euclidean geometry existence experience experimental explain external world fact Faraday Figure force formula Galileo Gauss gravitation Greek heavenly bodies heavens heliocentric theory Hence Hipparchus human mind ical ideas illusion intuition Kant Kepler knowledge laws of motion light lines magnetic field mass mathe mathematical laws mathematicians matics matter Maxwell Maxwell's Maxwell's equations mechanics modern moon Moreover moving nature Newton non-Euclidean non-Euclidean geometry objects observations obtained parallel axiom particles path perceptions phenomena philosophy physical world physicists planets position predicted principles problem properties protons Ptolemy Pythagoreans quantity quantum mechanics rays reality reason rotation scientific scientists sensations sense space-time speed theorems theory of relativity thought tion truth understand universe velocity wire