The Mathematical Experience |
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Page 17
... Known ? T HE MATHEMATICS BOOKS at Brown Uni- versity are housed on the fifth floor of the Sci- ences Library . In the trade , this is commonly re- garded as a fine mathematical collection , and ... Known ? How Much Mathematics is Now Known?
... Known ? T HE MATHEMATICS BOOKS at Brown Uni- versity are housed on the fifth floor of the Sci- ences Library . In the trade , this is commonly re- garded as a fine mathematical collection , and ... Known ? How Much Mathematics is Now Known?
Page 212
... known about primes and what is not known or conjectural would fill a large book . Here are some samples . The largest known prime in 1979 was 221,701 1. There is a prime between n and 2n for every integer n > 1. Is there a prime between ...
... known about primes and what is not known or conjectural would fill a large book . Here are some samples . The largest known prime in 1979 was 221,701 1. There is a prime between n and 2n for every integer n > 1. Is there a prime between ...
Page 354
... known and used , its proof frequently studied , if al- ternative proofs are invented , if it has known applications and generalizations and is analogous to known results in related areas , then it comes to be regarded as " rock bot- tom ...
... known and used , its proof frequently studied , if al- ternative proofs are invented , if it has known applications and generalizations and is analogous to known results in related areas , then it comes to be regarded as " rock bot- tom ...
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