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 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 Auguste Comte - Harper & brothers
The book presents a map of the wide region of mathematical science -- a bird's-eye view of its features, and of the true bearings and relations of all its parts. Auguste Comte was the first philosopher of science in the modern sense of the term.
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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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.