The Mathematical Experience |
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Page 75
... Law of Motion F = mA , the inverse square law of gravitation . These physical laws find mathematical expression as dif- ferential equations . The laws are postulated to be of uni- versal validity , applying not only to the sun and the ...
... Law of Motion F = mA , the inverse square law of gravitation . These physical laws find mathematical expression as dif- ferential equations . The laws are postulated to be of uni- versal validity , applying not only to the sun and the ...
Page 78
... laws or assumptions Ho , H1 , . . . , H10 on which to formulate a mathematical model . Ho asserts the laws of conservation of matter , energy and Fourier's law of heat conduction . H , asserts that the tank and jacket vol- umes are ...
... laws or assumptions Ho , H1 , . . . , H10 on which to formulate a mathematical model . Ho asserts the laws of conservation of matter , energy and Fourier's law of heat conduction . H , asserts that the tank and jacket vol- umes are ...
Page 342
... laws using these terms , and logical development of a theory from the fun- damental laws . The example that was followed was that of classical and quantum mechanics . In order to relate the formal theory to experimental data , each ...
... laws using these terms , and logical development of a theory from the fun- damental laws . The example that was followed was that of classical and quantum mechanics . In order to relate the formal theory to experimental data , each ...
Other editions - View all
The Mathematical Experience, Study Edition Philip Davis,Reuben Hersh,Elena Anne Marchisotto Limited preview - 2011 |
The Mathematical Experience, Study Edition Philip Davis,Reuben Hersh,Elena Anne Marchisotto Limited preview - 2011 |
The Mathematical Experience: Study Edition Philip J. Davis,Reuben Hersh,Elena Anne Marchisotto Limited preview - 1995 |
Common terms and phrases
abstract aesthetic algebra algorithmic analysis analytic answer applications argument arithmetic asserts axiom of choice Bibliography calculus called century circle complex conjecture construct continuum hypothesis course definition differential equations elements ematics Euclid Euclidean geometry Euler example existence experience fact figure finite formal language formalist formula Fourier Fourier series function Further Readings G. H. Hardy Hilbert human hypercube hypersquares idea ideal infinite set infinitesimal infinity integers intuition knowledge Lakatos logic mathe mathematical objects mathematical proof mathematicians matics means ment method natural numbers non-Euclidean geometry non-Riemannian nonstandard notion number theory parallel postulate philosophy of mathematics physical Platonism Platonist possible postulate prime number prime number theorem problem proof proved question real numbers reason restricted set theory result rigorous sense solution square statement straight line symbols theorem thing tion triangle true truth universe words zero