Aesthetics for the Working Mathematician
by Jonathan M. Borwein
Publisher: DocServer 2001
Number of pages: 22
Most research mathematicians neither think deeply about nor are terribly concerned about either pedagogy or the philosophy of mathematics. Nonetheless, as I hope to indicate, aesthetic notions have always permeated (pure and applied) mathematics.
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by James Byrnie Shaw - Open Court Pub. Co
The author delivered a course of lectures to widen the field in the way of making it intelligible to all students of fair mathematical knowledge, which could be accomplished best by considering mathematics constantly in its historical development.
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A very accessible mathematical classic. It sets forth in elementary form the logical definition of number, the analysis of the notion of order, the modern doctrine of the infinite, and the theory of descriptions and classes as symbolic fictions.
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Classic book on probability theory. It demonstrates, without the use of higher mathematics, the application of probability to games of chance, physics, reliability of witnesses, astronomy, insurance, democratic government, and many other areas.
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The text covers first principles of the infinitesimal method, the method of indivisibles, solution of the mystery of Cavalieri's method, the method of Descartes, or analytical geometry, the method of Leibnitz, the method of Newton.