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Mathematician's Lament

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The book/essay frames learning mathematics as an artistic and imaginative pursuit which is not reflected at all in the way the subject is currently taught.

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The power and attractiveness of the subject of mathematics is often hidden from students who are in introductory courses. In this new, innovative overview textbook, the authors put special emphasis on the deep ideas of mathematics, and present the subject through lively and entertaining examples, anecdotes, challenges and illustrations, all of which are designed to excite the student's interest. The underlying ideas include topics from number theory, infinity, geometry, topology, probability and chaos theory.

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mathematics mathematical inquiry textbook book
This is not an easy book to read, but if you have a reasonable background in mathematics, your hard work will pay off.

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mathematics mathematical inquiry reasoning book
Does modern pure mathematics make logical sense? No, unfortunately there are serious problems! Foundational issues have been finessed by modern mathematics, and this series aims to turn things around. And it will have interesting things to say also about mathematics education---especially at the primary and high school level. The plan is to start right from the beginning, and to define all the really important concepts of basic mathematics without any waffling or appeals to authority.

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