The Mathematical Experience |
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Page 16
... result of the arrival of a generation of mathe- maticians who learned computer programming in high school and to ... results , and decreasing interest in purely existential or dialectical results that have little or no com- putational ...
... result of the arrival of a generation of mathe- maticians who learned computer programming in high school and to ... results , and decreasing interest in purely existential or dialectical results that have little or no com- putational ...
Page 62
... result points automatically to another new result , or perhaps to two or three new results . And so it goes - goes , until the momentum all at once dissipates . Then the mathematical career is , essentially , over ; the frus- trations ...
... result points automatically to another new result , or perhaps to two or three new results . And so it goes - goes , until the momentum all at once dissipates . Then the mathematical career is , essentially , over ; the frus- trations ...
Page 265
... result that used to be presented in old - fash- ioned courses on engineering mathematics , on the grounds that any function which ever arises in physics would satisfy " Dirichlet's criterion . " It is plausible that any curve which can ...
... result that used to be presented in old - fash- ioned courses on engineering mathematics , on the grounds that any function which ever arises in physics would satisfy " Dirichlet's criterion . " It is plausible that any curve which can ...
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