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List of Figures and Tables | ix | |
Preface | xiii | |
1 | Introduction | 1 |
2 | Convention: How Means and Variances are Entrenched as Statistics | 18 |
3 | Subject: The Fields of Topology | 44 |
Appendix | The Two-Dimensional Ising Model of a Ferromagnet | 95 |
4 | Calculation: Strategy, Structure, and Tactics in Applying Classical Analysis | 106 |
5 | Analogy: A Syzygy Between a Research Program in Mathematics and a Research Program in Physics | 189 |
6 | In Concreto: The City of Mathematics | 231 |
Epilog | 264 | |
Appendices | ||
A | "The Spontaneous Magnetization of a Two-Dimensional Ising Model" (1952) | 266 |
B | "On the Dirac and Schwinger Corrections to the Ground-State Energy of an Atom," (1994, pp. 1-15) | 275 |
C | "Sur la forme des espaces topologiques et sur les points fixes des representations" (1945, pp. 96-99) | 290 |
D | "Une lettre a Simone Weil" (1940) | 293 |
Notes | 307 | |
Bibliography | 401 | |
Index | 435 |
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