Mathematics Under the Microscope: Notes on Cognitive Aspects of Mathematical Practice

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The author's goal is to start a dialogue between mathematicians and cognitive scientists. He discusses, from a working mathematician's point of view, the mystery of mathematical intuition: why are certain mathematical concepts more intuitive than others? To what extent does the 'small scale' structure of mathematical concepts and algorithms reflect the workings of the human brain? What are the ""elementary particles"" of mathematics that build up the mathematical universe? The book is saturated with amusing examples from a ...

Mathematics Under the Microscope: Notes on Cognitive Aspects of Mathematical Practice 2009, American Mathematical Society, Providence

ISBN-13: 9780821847619

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