Description

This book discusses some ways of doing mathematical work and the subject matter that is being worked upon and created. It argues that the conventions we adopt, the subject areas we delimit, what we can prove and calculate about the physical world, and the analogies that work for mathematicians — all depend on mathematics, what will work out and what won't. And the mathematics, as it is done, is shaped and supported, or not, by convention, subject matter, calculation, and analogy. The cases studied include the central limit theorem of statistics, the sound of the shape of a drum, the connection between algebra and topology, the stability of matter, the Ising model, and the Langlands Program in number theory and representation theory.

Doing Mathematics: Convention, Subject, Calculation, Analogy

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Paperback / softback by Martin H Krieger

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This book discusses some ways of doing mathematical work and the subject matter that is being worked upon and created.... Read more

    Publisher: World Scientific Publishing Co Pte Ltd
    Publication Date: 27/01/2003
    ISBN13: 9789812382061, 978-9812382061
    ISBN10: 9812382062

    Number of Pages: 472

    Non Fiction , Mathematics & Science , Education

    Description

    This book discusses some ways of doing mathematical work and the subject matter that is being worked upon and created. It argues that the conventions we adopt, the subject areas we delimit, what we can prove and calculate about the physical world, and the analogies that work for mathematicians — all depend on mathematics, what will work out and what won't. And the mathematics, as it is done, is shaped and supported, or not, by convention, subject matter, calculation, and analogy. The cases studied include the central limit theorem of statistics, the sound of the shape of a drum, the connection between algebra and topology, the stability of matter, the Ising model, and the Langlands Program in number theory and representation theory.

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