A Century of Advancing Mathematics
The Mathematical Association of America, 23 d’ag. 2015 - 420 pàgines
The MAA was founded in 1915 to serve as a home for The American Mathematical Monthly. The mission of the Association-to advance mathematics, especially at the collegiate level-has, however, always been larger than merely publishing world-class mathematical exposition. MAA members have explored more than just mathematics; we have, as this volume tries to make evident, investigated mathematical connections to pedagogy, history, the arts, technology, literature, every field of intellectual endeavor. Essays, all commissioned for this volume, include exposition by Bob Devaney, Robin Wilson, and Frank Morgan; history from Karen Parshall, Della Dumbaugh, and Bill Dunham; pedagogical discussion from Paul Zorn, Joe Gallian, and Michael Starbird, and cultural commentary from Bonnie Gold, Jon Borwein, and Steve Abbott.
This volume contains 35 essays by all-star writers and expositors writing to celebrate an extraordinary century for mathematics-more mathematics has been created and published since 1915 than in all of previous recorded history. We've solved age-old mysteries, created entire new fields of study, and changed our conception of what mathematics is. Many of those stories are told in this volume as the contributors paint a portrait of the broad cultural sweep of mathematics during the MAA's first century. Mathematics is the most thrilling, the most human, area of intellectual inquiry; you will find in this volume compelling proof of that claim.
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Part II Historical Developments
Part III Pedagogical Developments
Part IV Computational Developments
Part V Culture and Communities
ˇ ˇ abstract algebra Amer American Mathematical Society analysis analytic Association of America Birkhoff century Chicago color combinatorics Committee complex dynamics conjecture course CUPM developed Dickson dy=dx E. H. Moore elliptic curve ematics Emmy Noether equation Euler example faculty Fatou Fatou set field finite formula four-color four-color theorem function g g g geometry graduate hyperbolic idea Inquiry-Based Learning Institute integer interest iteration Julia set knot linear MAA president MAA’s Math Mathematical Association mathematical community mathematical objects mathematical research mathematicians mathematics major matics meeting methods modern algebra Monthly Moore’s National Noether number theory Oswald Veblen paper permutations philosophy of mathematics plane prime number theorem Princeton problem proof prove published question R. L. Moore Riemann Hypothesis sequence Slaught sphere Stanley-Wilf Stanley-Wilf conjecture surface teachers teaching topology undergraduate research