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 Bertrand Russell - University of Massachusetts Amherst
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.
by Pierre Simon Laplace - Chapman & Hall
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.
by Cassius Jackson Keyser - E.P. Dutton & company
Though the course is designed primarily for students whose major interest is in Philosophy, the lectures may be grateful to a wider circle of readers who desire a fair understanding of great mathematical ideas accessible to all educated laymen.
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.