Doing mathematics : convention subject calculation analogy
Author(s)
Bibliographic Information
Doing mathematics : convention subject calculation analogy
World Scientific, c2003
- : pbk
Available at / 7 libraries
-
No Libraries matched.
- Remove all filters.
Note
Includes bibliographical references and index
Description and Table of Contents
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.
Table of Contents
- Convention: How Means and Variances are Entrenched as Statistics
- Subject: The Fields of Topology
- Appendix: The Two-Dimensional Ising Model of a Ferromagnet
- Calculation: Strategy, Structure, and Tactics in Applying Classical Analysis
- Analogy: A Syzygy Between a Research Program in Mathematics and a Research Program in Physics, Each of Which is Itself an Analogy
- Mathematics in Concreto.
by "Nielsen BookData"
