The Mathematical Experience |
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Page 358
... hypercube by looking at pictures of it or by handling it at the console of an interactive graphics system . ( See pp . 403-405 . ) As you turn it around and see how one picture transforms into another , you learn to think about a hypercube ...
... hypercube by looking at pictures of it or by handling it at the console of an interactive graphics system . ( See pp . 403-405 . ) As you turn it around and see how one picture transforms into another , you learn to think about a hypercube ...
Page 401
... hypercube would have , if one existed . We can count the number of edges , vertices , and faces it would have . Since it would be constructed by joining two cubes , each of which has 8 vertices , the hypercube must have 16 vertices . It ...
... hypercube would have , if one existed . We can count the number of edges , vertices , and faces it would have . Since it would be constructed by joining two cubes , each of which has 8 vertices , the hypercube must have 16 vertices . It ...
Page 403
... hypercube mov- ing in and out of our three - dimensional space . To under- stand what they have done , imagine a flat , two - dimensional creature who lived at the surface of a pond and could see only other objects on the surface ( not ...
... hypercube mov- ing in and out of our three - dimensional space . To under- stand what they have done , imagine a flat , two - dimensional creature who lived at the surface of a pond and could see only other objects on the surface ( not ...
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