A Century of Advancing Mathematics

Preface . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ix
Part I Mathematical Developments 1
The Hyperbolic Revolution: From Topology to Geometry, and Back . . ................ 3
Francis Bonahon
A Century of Complex Dynamics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15
Daniel Alexander and Robert L. Devaney
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Preface . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ix
Part I Mathematical Developments 1
The Hyperbolic Revolution: From Topology to Geometry, and Back . . ................ 3
Francis Bonahon
A Century of Complex Dynamics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15
Daniel Alexander and Robert L. Devaney
Map-Coloring Problems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 35
Robin Wilson
Six Milestones in Geometry . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 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 the Best Approach to Counting Primes? . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 83
Andrew Granville
A Century of Elliptic Curves ................................................... 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 United States . . . . . 219
Alan Tucker
Inquiry-Based Learning Through the Life of the MAA ............................ 239
Michael Starbird
A Passport to Pleasure . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 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 Future of Mathematics: 1965 to 2065 . . . .................................... 313
Jonathan M. Borwein
Part V Culture and Communities 331
Philosophy of Mathematics: What Has Happened Since G¨odel’s Results? . . . . . . . . . . . 333
Bonnie Gold
Twelve Classics People who Love Mathematics Should Know; or,
“What do you mean, you haven’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: The Year of Euler . ...................................................... 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
Henry L. Alder . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 397
Donald J. Albers and Gerald L. Alexanderson
Lida K. Barrett . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 401
Kenneth A. Ross
Ralph P. Boas . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 405
Daniel Zelinsky
Leonard Gillman — Reminiscences . . .......................................... 407
Martha J. Siegel
Paul Halmos: No Apologies . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 411
John Ewing
Ivan Niven . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 415
Kenneth A. Ross
George P´olya and the MAA . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 421
Gerald L. Alexanderson
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