The Best Writing on Mathematics 2011

Buch | Softcover

416 Seiten

2011
Princeton University Press (Verlag)
978-0-691-15315-5 (ISBN)

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Discusses the features that distinguish mathematics from other disciplines of the mind. This title identifies some of the mathematical inspirations of M C Escher's art. It describes compressed sensing, a mathematical field that reshapes the way people use large sets of data. It reports on the use of algorithms in the job market for doctors.

This 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 2011" 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 Ian Hacking discusses the salient features that distinguish mathematics from other disciplines of the mind; Doris Schattschneider identifies some of the mathematical inspirations of M. C. Escher's art; Jordan Ellenberg describes compressed sensing, a mathematical field that is reshaping the way people use large sets of data; Erica Klarreich reports on the use of algorithms in the job market for doctors; and much, much more.
In addition to presenting the year's most memorable writings on mathematics, this must-have anthology includes a foreword by esteemed physicist and mathematician Freeman Dyson. This book belongs on the shelf of anyone interested in where math has taken us - and where it is headed.

Mircea Pitici is a PhD candidate in mathematics education at Cornell University. He teaches mathematics courses and writing seminars at Cornell and Ithaca College.

*FrontMatter, pg. i*Contents, pg. vii*Foreword: Recreational Mathematics, pg. xi*Introduction, pg. xvii*What is Mathematics For?, pg. 1*A Tisket, a Tasket, an Apollonian Gasket, pg. 13*The Quest for God's Number, pg. 27*Meta-morphism: From Graduate Student to Networked Mathematician, pg. 35*One, Two, Many: Individuality and Collectivity in Mathematics, pg. 43*Reflections on the Decline of Mathematical Tables, pg. 51*Under-Represented Then Over-Represented:, pg. 55*Did Over-Reliance on Mathematical Models for Risk Assessment Create the Financial Crisis?, pg. 67*Fill in the Blanks:, pg. 75*The Great Principles of Computing, pg. 82*Computer Generation of Ribbed Sculptures, pg. 93*Lorenz System Offers Manifold Possibilities for Art, pg. 115*Celebrating Mathematics in Stone and Bronze, pg. 150*Mathematics Education, pg. 169*Thinking and Comprehending in the Mathematics Classroom, pg. 188*Teaching Research: Encouraging Discoveries, pg. 203*Reflections of an Accidental Theorist, pg. 219*The Conjoint Origin of Proof and Theoretical Physics, pg. 236*What Makes Mathematics Mathematics?, pg. 257*What Anti-realism in Philosophy of Mathematics Must Offer, pg. 286*Seeing Numbers, pg. 312*Autism and Mathematical Talent, pg. 330*How Much Math is Too Much Math?, pg. 336*Hidden Dimensions, pg. 347*Playing with Matches, pg. 356*Notable Texts, pg. 367*Contributors, pg. 371*Acknowledgments, pg. 379*Credits, pg. 381

Erscheint lt. Verlag	27.11.2011
Reihe/Serie	The Best Writing on Mathematics
Vorwort	Freeman Dyson
Zusatzinfo	68 halftones. 12 line illus.
Verlagsort	New Jersey
Sprache	englisch
Maße	140 x 216 mm
Gewicht	397 g
Themenwelt	Sachbuch/Ratgeber ► Natur / Technik
	Mathematik / Informatik ► Mathematik ► Allgemeines / Lexika
	Mathematik / Informatik ► Mathematik ► Mathematische Spiele und Unterhaltung
ISBN-10	0-691-15315-9 / 0691153159
ISBN-13	978-0-691-15315-5 / 9780691153155
Zustand	Neuware