The Best Writing on Mathematics 2015 -

The Best Writing on Mathematics 2015

Mircea Pitici (Herausgeber)

Buch | Softcover
392 Seiten
2016
Princeton University Press (Verlag)
978-0-691-16965-1 (ISBN)
27,40 inkl. MwSt
An anthology of the year's finest writing on mathematics from around the world, featuring promising new voices as well as some of the foremost names in mathematics.
This annual anthology brings together the year's finest mathematics writing from around the world. Featuring promising new voices alongside some of the foremost names in the field, The Best Writing on Mathematics 2015 makes available to a wide audience many articles not easily found anywhere else--and you don't need to be a mathematician to enjoy them. These writings offer surprising insights into the nature, meaning, and practice of mathematics today. They delve into the history, philosophy, teaching, and everyday occurrences of math, and take readers behind the scenes of today's hottest mathematical debates.
Here David Hand explains why we should actually expect unlikely coincidences to happen; Arthur Benjamin and Ethan Brown unveil techniques for improvising custom-made magic number squares; Dana Mackenzie describes how mathematicians are making essential contributions to the development of synthetic biology; Steven Strogatz tells us why it's worth writing about math for people who are alienated from it; Lisa Rougetet traces the earliest written descriptions of Nim, a popular game of mathematical strategy; Scott Aaronson looks at the unexpected implications of testing numbers for randomness; and much, much more. In addition to presenting the year's most memorable writings on mathematics, this must-have anthology includes a bibliography of other notable writings and an introduction by the editor, Mircea Pitici. This book belongs on the shelf of anyone interested in where math has taken us--and where it is headed.

Mircea Pitici holds a PhD in mathematics education from Cornell University, where he teaches math and writing. He has edited The Best Writing on Mathematics since 2010.

Introduction - Mircea Pitici xi A Dusty Discipline - Michael J. Barany and Donald MacKenzie 1 How Puzzles Made Us Human - Pradeep Mutalik 7 Let the Games Continue - Colm Mulcahy and Dana Richards 14 Challenging Magic Squares for Magicians - Arthur T. Benjamin and Ethan J. Brown 26 Candy Crush's Puzzling Mathematics - Toby Walsh 38 Chaos on the Billiard Table - Marianne Freiberger 47 Juggling with Numbers - Erik R. Tou 63 The Quest for Randomness - Scott Aaronson 69 Synthetic Biology, Real Mathematics - Dana Mackenzie 93 At the Far Ends of a New Universal Law - Natalie Wolchover 99 Twisted Math and Beautiful Geometry - Eli Maor and Eugen Jost 107 Kenichi Miura's Water Wheel, or The Dance of the Shapes of Constant Width - Burkard Polster 119 Durer: Disguise, Distance, Disagreements, and Diagonals! - Annalisa Crannell, Marc Frantz, and Fumiko Futamura 132 The Quaternion Group as a Symmetry Group - Vi Hart and Henry Segerman 141 The Steiner-Lehmus Angle-Bisector Theorem - John Conway and Alex Ryba 154 Key Ideas and Memorability in Proof - Gila Hanna and John Mason 167 The Future of High School Mathematics - Jim Fey, Sol Garfunkel, Diane Briars, Andy Isaacs, Henry Pollak, Eric Robinson, Richard Scheaffer, Alan Schoenfeld, Cathy Seeley, Dan Teague, and Zalman Usiskin 181 Demystifying the Math Myth: Analyzing the Contributing Factors for the Achievement Gap between Chinese and U.S. Students - Guili Zhang and Miguel A. Padilla 187 The Pigeonhole Principle, Two Centuries before Dirichlet - Benoit Rittaud and Albrecht Heeffer 201 A Prehistory of Nim - Lisa Rougetet 207 Godel, Gentzen, Goodstein: The Magic Sound of a G-String - Jan von Plato 215 Global and Local - James Franklin 228 Mathematical Beauty, Understanding, and Discovery - Carlo Cellucci 241 A Guide for the Perplexed: What Mathematicians Need to Know to Understand Philosophers of Mathematics - Mark Balaguer 265 Writing about Math for the Perplexed and the Traumatized - Steven Strogatz 280 Is Big Data Enough? A Reflection on the Changing Role of Mathematics in Applications - Domenico Napoletani, Marco Panza, and Daniele C. Struppa 293 The Statistical Crisis in Science - Andrew Gelman and Eric Loken 305 Color illustration section follows page 316 Statistics and the Ontario Lottery Retailer Scandal - Jeffrey S. Rosenthal 319 Never Say Never - David J. Hand 332 Contributors 337 Notable Writings 349 Acknowledgments 359 Credits 361

Reihe/Serie The Best Writing on Mathematics
Zusatzinfo 25 color illus. 10 halftones. 95 line illus.
Verlagsort New Jersey
Sprache englisch
Maße 140 x 216 mm
Gewicht 397 g
Themenwelt Mathematik / Informatik Mathematik Allgemeines / Lexika
Mathematik / Informatik Mathematik Mathematische Spiele und Unterhaltung
ISBN-10 0-691-16965-9 / 0691169659
ISBN-13 978-0-691-16965-1 / 9780691169651
Zustand Neuware
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