Doing Mathematics: Convention, Subject, Calculation, Analogy

by Martin H Krieger

Overview

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.

Product Details

ISBN-13:	9789812382009
Publisher:	World Scientific Publishing Company, Incorporated
Publication date:	01/27/2003
Pages:	472
Product dimensions:	6.30(w) x 8.80(h) x 1.10(d)