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Download E-books Figures of Thought: Mathematics and Mathematical Texts PDF

By David Reed

Hardly ever has the background or philosophy of arithmetic been written approximately by way of mathematicians, and the research of mathematical texts themselves has been a space nearly solely unexplored. Figures of Thought appears at ways that mathematical works could be learn as texts, examines their textual recommendations and demonstrates that such readings offer a wealthy resource of philosophical concerns relating to arithmetic: matters which conventional methods to the heritage and philosophy of arithmetic have neglected.
David Reed, a certified mathematician himself, deals the 1st sustained and significant try to discover a constant argument or narrative thread in mathematical texts. In doing so he develops new and engaging interpretations of mathematicians' paintings all through heritage, from an in-depth research of Euclid's Elements, to the math of Descartes and correct as much as the paintings of up to date mathematicians similar to Grothendeick. He additionally lines the results of this method of the knowledge of the background and improvement of arithmetic.

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