The Mathematical Experience |
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Page 304
... Analytic solution : Starting at some point ( xo , yo ) compute c = f ( xo , yo ) . By means of inverse interpolation , find nearby points ( x1 , y1 ) , ( xX2 , y2 ) , . . . for which f ( x , y ) = c . Connect these points . Iterate ...
... Analytic solution : Starting at some point ( xo , yo ) compute c = f ( xo , yo ) . By means of inverse interpolation , find nearby points ( x1 , y1 ) , ( xX2 , y2 ) , . . . for which f ( x , y ) = c . Connect these points . Iterate ...
Page 312
... analytical mathematics must be suppressed or bypassed and re- placed by analog mathematics . One sees this over and ... analytic , more linguistic , and more analog . As this occurred the mathematical substructure was either built in ...
... analytical mathematics must be suppressed or bypassed and re- placed by analog mathematics . One sees this over and ... analytic , more linguistic , and more analog . As this occurred the mathematical substructure was either built in ...
Page 421
... Analytic Aspects of Mathematics and Their Implication for Research and Education . SIAM Review . 21 , 112-127 ( 1979 ) Davis , P. J. , Cerutti , ELSIE : FORMAC Meets Pappus : Some Observa- tions on Elementary Analytic Geometry by ...
... Analytic Aspects of Mathematics and Their Implication for Research and Education . SIAM Review . 21 , 112-127 ( 1979 ) Davis , P. J. , Cerutti , ELSIE : FORMAC Meets Pappus : Some Observa- tions on Elementary Analytic Geometry by ...
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 |
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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