The Mathematical Experience |
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Page 27
... Complex vari- ables . Geometry . Cantor . Theory of infinite sets . Weierstrass . Real and complex analysis . Poincaré . Topology . Differential equations . Hilbert . Integral equations . Foundations of mathematics . Brouwer . Topology ...
... Complex vari- ables . Geometry . Cantor . Theory of infinite sets . Weierstrass . Real and complex analysis . Poincaré . Topology . Differential equations . Hilbert . Integral equations . Foundations of mathematics . Brouwer . Topology ...
Page 81
... complex number , it was considered a worthy goal to establish this theory without depending on the use of complex numbers . When this goal was finally achieved , then the utility of complex variable in number theory had changed . Time ...
... complex number , it was considered a worthy goal to establish this theory without depending on the use of complex numbers . When this goal was finally achieved , then the utility of complex variable in number theory had changed . Time ...
Page 198
... complex numbers as points in a coor- dinate plane , whose horizontal axis is the real axis and whose vertical axis is the " imaginary ” axis or i - axis . Once we conceive of the real line as embedded in a plane of complex numbers , we ...
... complex numbers as points in a coor- dinate plane , whose horizontal axis is the real axis and whose vertical axis is the " imaginary ” axis or i - axis . Once we conceive of the real line as embedded in a plane of complex numbers , we ...
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