Doing Mathematics: Convention, Subject, Calculation, Analogy - Couverture souple

Krieger, Martin H

 
9789812382061: Doing Mathematics: Convention, Subject, Calculation, Analogy

Synopsis

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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Autres éditions populaires du même titre

9789812382009: Doing Mathematics: Convention, Subject, Calculation, Analogy

Edition présentée

ISBN 10 :  9812382003 ISBN 13 :  9789812382009
Editeur : World Scientific Publishing Co P..., 2003
Couverture rigide