The Mathematical Experience |
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Page 76
... matter , force , acceleration . The resulting differential equation came to appear closer to the ultimate truth as to how the universe is governed . But is the matter really so simple ? Take the differential equation for Mars and solve ...
... matter , force , acceleration . The resulting differential equation came to appear closer to the ultimate truth as to how the universe is governed . But is the matter really so simple ? Take the differential equation for Mars and solve ...
Page 264
... matter if one thinks of this [ correspondence ] so that different parts are given by different laws or designates it [ the correspon- dence ] entirely lawlessly . If a function is specified only for part of an interval , the manner of ...
... matter if one thinks of this [ correspondence ] so that different parts are given by different laws or designates it [ the correspon- dence ] entirely lawlessly . If a function is specified only for part of an interval , the manner of ...
Page 384
... matter appears in a totally different light . If he is one of that small proportion of mathematicians who feel ... matter of taste . In this matter my taste is probably that of a passing era . A future genera- tion of mathematicians may ...
... matter appears in a totally different light . If he is one of that small proportion of mathematicians who feel ... matter of taste . In this matter my taste is probably that of a passing era . A future genera- tion of mathematicians may ...
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