The Mathematical Experience |
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Page 6
... definition a bit , one might add that mathematics also deals with the symbolism relating to quantity and to space . This definition certainly has a historical basis and will serve us for a start , but it is one of the purposes of this ...
... definition a bit , one might add that mathematics also deals with the symbolism relating to quantity and to space . This definition certainly has a historical basis and will serve us for a start , but it is one of the purposes of this ...
Page 246
... definition that is much harder to understand than the concept being de- fined . Of course , to a trained mathematician the epsilon- delta definition is intuitive ; this shows what can be accom- plished by proper training . The ...
... definition that is much harder to understand than the concept being de- fined . Of course , to a trained mathematician the epsilon- delta definition is intuitive ; this shows what can be accom- plished by proper training . The ...
Page 294
... Definition : Let's call the numbers in Category I “ magic numbers . " They have a delightful property . Tentative ... definition that N is magic if a number that ends with the digit group N is divisible by N. Does this extended ...
... Definition : Let's call the numbers in Category I “ magic numbers . " They have a delightful property . Tentative ... definition that N is magic if a number that ends with the digit group N is divisible by N. Does this extended ...
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