VERY GOOD: The book is in very good condition, showing very little sign of use or wear.
Product Details
From the back cover: "Doing Mathematics 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 the 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."
BRIEF CONTENTS
List of Figures and Tables
Preface
ONE: Introduction
TWO: Convention: How Means and Variances are Entrenched as Statistics
THREE: Subject: The Fields of Topology
Appendix: The Two-Dimensional Ising Model of a Ferromagnet
FOUR: Calculation: Strategy, Structure, and Tactics in Applying Classical Analysis
FIVE: Analogy: A Syzygy Between a Research Program in Mathematics and a Research Program in Physics
SIX: In Concreto: The City of Mathematics
Epilog
Appendices
C.N. Yang, "The Spontaneous Magnetization of a Two-Dimensional Ising Model" (1952)
C. Fefferman and L.A. Seco, "On the Dirac and Schwinger Corrections to the Ground-State Energy of an Atom" (1994, pp. 1-15)
J. Leray, "Sur la forme des espaces topologiques et sur les points fixes des représentations" (1945, pp. 96-99)
A. Weil, "Une lettre à Simone Weil" (1940)
The book ends with Notes, Bibliography, and Index.
