A Century of Advancing Mathematics

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Contents

Preface ...... ix Part I Mathematical Developments 1 The Hyperbolic Revolution: From Topology to Geometry, and Back ...... 3 Francis Bonahon ACenturyofComplexDynamics ...... 15 Daniel Alexander and Robert L. Devaney Map-ColoringProblems ...... 35 Robin Wilson SixMilestonesinGeometry ...... 51 Frank Morgan Defying God: the Stanley-Wilf Conjecture, Stanley-Wilf Limits, and a Two-Generation Explosion of Combinatorics ...... 65 Eric S. Egge What Is theBest Approach to CountingPrimes? ...... 83 Andrew Granville ACenturyofEllipticCurves ...... 117 Joseph H. Silverman Part II Historical Developments 133 The Mathematical Association of America: Its First 100 Years ...... 135 David E. Zitarelli The Stratification of the American Mathematical Community: The Mathematical Association of America and the American Mathematical Society, 1915–1925 ... 159 Karen Hunger Parshall Time and Place: Sustaining the American Mathematical Community ...... 177 Della Dumbaugh Abstract (Modern) Algebra in America 1870–1950: A Brief Account ...... 191 Israel Kleiner Part III Pedagogical Developments 217 The History of the Undergraduate Program in Mathematics in the UnitedStates ..... 219 Alan Tucker

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vi A Century of Advancing Mathematics

Inquiry-Based Learning Through the Life of the MAA ...... 239 Michael Starbird APassporttoPleasure ...... 253 Bob Kaplan and Ellen Kaplan Strength in Numbers: Broadening the View of the Mathematics Major ...... 257 Rhonda Hughes A History of Undergraduate Research in Mathematics ...... 263 Joseph A. Gallian The Calculus Reform Movement: A Personal Account ...... 275 Paul Zorn Introducing ex ...... 283 Gilbert Strang Part IV Computational Developments 295 Computational Experiences in the Pre-Electronic Days ...... 297 Philip J. Davis A Century of Visualization:One Geometer’s View ...... 301 Thomas F. Banchoff The FutureofMathematics: 1965to2065 ...... 313 Jonathan M. Borwein Part V Culture and Communities 331 Philosophy of Mathematics: What Has Happened Since G¨odel’sResults? ...... 333 Bonnie Gold Twelve Classics People who Love Mathematics Should Know; or, “What do you mean, youhaven’t read E. T. Bell? ...... 351 Gerald L. Alexanderson The Dramatic Life of Mathematics: A Centennial History of the Intersection of Mathematics and Theater in a Prologue, Three Acts, and an Epilogue ...... 365 Stephen D. Abbott 2007:TheYearofEuler ...... 379 William Dunham The Putnam Competition:Origin, Lore, Structure ...... 387 Leonard F. Klosinski Getting Involved with the MAA: A Path Less Traveled ...... 393 Ezra “Bud” Brown HenryL.Alder ...... 397 Donald J. Albers and Gerald L. Alexanderson LidaK.Barrett ...... 401 Kenneth A. Ross RalphP.Boas ...... 405 Daniel Zelinsky

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Leonard Gillman—Reminiscences ...... 407 Martha J. Siegel PaulHalmos:NoApologies ...... 411 John Ewing IvanNiven ...... 415 Kenneth A. Ross GeorgeP´olyaandtheMAA ...... 421 Gerald L. Alexanderson

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