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

By David Reed

Not often has the heritage or philosophy of arithmetic been written approximately via mathematicians, and the research of mathematical texts themselves has been a space virtually fullyyt unexplored. Figures of Thought appears to be like at ways that mathematical works should be learn as texts, examines their textual concepts and demonstrates that such readings offer a wealthy resource of philosophical matters concerning arithmetic: matters which conventional methods to the background and philosophy of arithmetic have neglected.
David Reed, a certified mathematician himself, deals the 1st sustained and demanding try to discover a constant argument or narrative thread in mathematical texts. In doing so he develops new and interesting interpretations of mathematicians' paintings all through historical past, from an in-depth research of Euclid's Elements, to the maths of Descartes and correct as much as the paintings of up to date mathematicians resembling Grothendeick. He additionally strains the results of this method of the knowledge of the background and improvement of arithmetic.

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