Doing Mathematics: Convention, Subject, Calculation, Analogy - Hardcover

Krieger, Martin H

Hardcover

ISBN 10: 9812382003 ISBN 13: 9789812382009

Publisher: World Scientific Publishing Co Pte Ltd, 2003

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.

Edition details

• Publisher: World Scientific Publishing Co Pte Ltd
• Publication date: 2003
• Language: English
• ISBN 10: 9812382003
• ISBN 13: 9789812382009
• Binding: Hardcover
• Number of pages: 472