| Introduction |
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1 | (6) |
| Part One INTERVIEWS AND REMINISCENCES |
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7 | (68) |
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An Interview with Michael Atiyah |
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9 | (14) |
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On the Steps of Moscow University |
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23 | (9) |
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An Interview with Jean-Pierre Serre |
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32 | (7) |
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39 | (10) |
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My Collaboration with Julia Robinson |
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49 | (12) |
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C. N. Yang and Contemporary Mathematics |
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61 | (14) |
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| Part Two ALGEBRA AND NUMBER THEORY |
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75 | (82) |
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The Proof of the Mordell Conjecture |
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77 | (10) |
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Adventures in Arithmetick, or: How to Make Good Use of a Fourier Transform |
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87 | (15) |
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Solving Polynomial Systems |
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102 | (11) |
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Artin's Conjecture for Primitive Roots |
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113 | (15) |
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Representation Theory of Finite Groups: From Frobenius to Brauer |
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128 | (14) |
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Quaternionic Determinants |
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142 | (15) |
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| Part Three ANALYSIS |
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157 | (60) |
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159 | (7) |
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The Banach-Tarski Theorem |
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166 | (9) |
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175 | (10) |
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A Geometrization of Lebesgue's Space-Filling Curve |
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185 | (7) |
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Sophus Lie and Harmony in Mathematical Physics, on the 150th Anniversary of His Birth |
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192 | (15) |
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207 | (10) |
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| Part Four APPLIED MATHEMATICS |
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217 | (58) |
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Yeast Oscillations, Belousov-Zhabotinsky Waves, and the Nonretraction Theorem |
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219 | (10) |
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229 | (9) |
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Integrability in Mathematics and Theoretical Physics: Solitons |
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238 | (12) |
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On Newton's Problem of Minimal Resistance |
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250 | (9) |
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If Hamilton Had Prevailed: Quaternions in Physics |
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259 | (16) |
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| Part Five ARRANGEMENTS AND PATTERNS |
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275 | (56) |
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On the Probleme des Menages |
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277 | (11) |
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Quasicrystals: The View from Les Houches |
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288 | (14) |
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Celtic Knotwork: Mathematical Art |
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302 | (13) |
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The Sacred Cut Revisited: The Pavement of the Baptistery of San Giovanni, Florence |
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315 | (8) |
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Symmetrical Combinations of Three or Four Hollow Triangles |
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323 | (8) |
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| Part Six GEOMETRY AND TOPOLOGY |
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331 | (74) |
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Instantons and the Topology of 4-Manifolds |
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333 | (9) |
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The Computer-Aided Discovery of New Embedded Minimal Surfaces |
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342 | (18) |
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What Is the D9fference between a Parabola and a Hyperbola? |
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360 | (14) |
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How to Build Minimal Polyhedral Models of the Boy Surface |
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374 | (7) |
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Recent Developments in Braid and Link Theory |
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381 | (12) |
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Hyperbolic Geometry and Spaces of Riemann Surfaces |
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393 | (12) |
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| Part Seven HISTORY OF MATHEMATICS |
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405 | (78) |
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Kurt Godel in Sharper Focus |
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407 | (11) |
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Who Would Have Won the Fields Medals a Hundred Years Ago? |
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418 | (11) |
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The Last 100 Days of the Bieberbach Conjecture |
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429 | (13) |
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A Little-Known Chapter in the History of German Mathematics |
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442 | (3) |
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The War of the Frogs and the Mice, or the Crisis of the Mathematische Annalen |
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445 | (21) |
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Hilbert's Problems and Their Sequels |
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466 | (17) |
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| Index of Names |
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483 | |
Other versions by this Author
