The Mathematical Experience |
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Page 59
... appears , at a quick glance , to be mixture of the theory of infinite series , difference equations , differential equa- tions , and complex variables . It is long , rambling , polemi- cal , tedious , obscure , egocentric , and full of ...
... appears , at a quick glance , to be mixture of the theory of infinite series , difference equations , differential equa- tions , and complex variables . It is long , rambling , polemi- cal , tedious , obscure , egocentric , and full of ...
Page 76
... appears static and ad hoc - mere curve fitting - divorced from reality , the Newtonian scheme appears by contrast richly dynamic , grounded in the reality of matter , force , acceleration . The resulting differential equation came to appear ...
... appears static and ad hoc - mere curve fitting - divorced from reality , the Newtonian scheme appears by contrast richly dynamic , grounded in the reality of matter , force , acceleration . The resulting differential equation came to appear ...
Page 105
... appears here to be , as it were , above the solar circle , and more important than it , she respects the Sun all the same as her master and King . She seems to find so much delight in his shape and his vicinity that she emulates the ...
... appears here to be , as it were , above the solar circle , and more important than it , she respects the Sun all the same as her master and King . She seems to find so much delight in his shape and his vicinity that she emulates the ...
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