The Mathematical Experience |
From inside the book
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Page 18
... Calculus builds on all three . Topology is an offshoot of geometry , set theory , and algebra . Differential equations builds on calculus , topol- ogy , and algebra . Mathematics is often depicted as a mighty tree with its roots , trunk ...
... Calculus builds on all three . Topology is an offshoot of geometry , set theory , and algebra . Differential equations builds on calculus , topol- ogy , and algebra . Mathematics is often depicted as a mighty tree with its roots , trunk ...
Page 27
... Calculus . Theory of equations . Grav- ity . Planetary motion . Infinite series . Hydro- statics and dynamics . Leibniz . Calculus . Bernoulli . Calculus ; probability . Euler . Calculus . Complex variables . Applied mathematics ...
... Calculus . Theory of equations . Grav- ity . Planetary motion . Infinite series . Hydro- statics and dynamics . Leibniz . Calculus . Bernoulli . Calculus ; probability . Euler . Calculus . Complex variables . Applied mathematics ...
Page 144
... calculus ( and the aver- age teacher ) swiftly accepts the existence of this set and confines his attention to the formal manipulative aspects of the calculus . We go beyond . We construct what is called the Fréchet ultrafilter , a ...
... calculus ( and the aver- age teacher ) swiftly accepts the existence of this set and confines his attention to the formal manipulative aspects of the calculus . We go beyond . We construct what is called the Fréchet ultrafilter , a ...
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