Mircea Pitici
Princeton University Press | 2014 | 273 páginas | rar - pdf | 3,65 Mb
link (password : matav)
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 2013 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 Philip Davis offers a panoramic view of mathematics in contemporary society; Terence Tao discusses aspects of universal mathematical laws in complex systems; Ian Stewart explains how in mathematics everything arises out of nothing; Erin Maloney and Sian Beilock consider the mathematical anxiety experienced by many students and suggest effective remedies; Elie Ayache argues that exchange prices reached in open market transactions transcend the common notion of probability; and much, much more.
Contents
Foreword
Roger Penrose ix
Introduction
Mircea Pitici xv
The Prospects for Mathematics in a Multimedia Civilization
Philip J. Davis 1
Fearful Symmetry
Ian Stewart 23
E pluribus unum: From Complexity, Universality
Terence Tao 32
Degrees of Separation
Gregory Goth 47
Randomness
Charles Seife 52
Randomness in Music
Donald E. Knuth 56
Playing the Odds
Soren Johnson 62
Machines of the Infinite
John Pavlus 67
Bridges, String Art, and Bézier Curves
Renan Gross 77
Slicing a Cone for Art and Science
Daniel S. Silver 90
High Fashion Meets Higher Mathematics
Kelly Delp 109
The Jordan Curve Theorem Is Nontrivial
Fiona Ross and William T. Ross 120
Why Mathematics? What Mathematics?
Anna Sfard 130
Math Anxiety: Who Has It, Why It Develops, and How to Guard against It
Erin A. Maloney and Sian L. Beilock 143
How Old Are the Platonic Solids?
David R. Lloyd 149
Early Modern Mathematical Instruments
Jim Bennett 163
A Revolution in Mathematics? What Really Happened a Century Ago and Why It Matters Today
Frank Quinn 175
Errors of Probability in Historical Context
Prakash Gorroochurn 191
The End of Probability
Elie Ayache 213
An abc Proof Too Tough Even for Mathematicians
Kevin Hartnett 225
Contributors 231
Notable Texts 237
Acknowledgments 241
Credits 243
Princeton University Press | 2014 | 273 páginas | rar - pdf | 3,65 Mb
link (password : matav)
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 2013 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 Philip Davis offers a panoramic view of mathematics in contemporary society; Terence Tao discusses aspects of universal mathematical laws in complex systems; Ian Stewart explains how in mathematics everything arises out of nothing; Erin Maloney and Sian Beilock consider the mathematical anxiety experienced by many students and suggest effective remedies; Elie Ayache argues that exchange prices reached in open market transactions transcend the common notion of probability; and much, much more.
Foreword
Roger Penrose ix
Introduction
Mircea Pitici xv
The Prospects for Mathematics in a Multimedia Civilization
Philip J. Davis 1
Fearful Symmetry
Ian Stewart 23
E pluribus unum: From Complexity, Universality
Terence Tao 32
Degrees of Separation
Gregory Goth 47
Randomness
Charles Seife 52
Randomness in Music
Donald E. Knuth 56
Playing the Odds
Soren Johnson 62
Machines of the Infinite
John Pavlus 67
Bridges, String Art, and Bézier Curves
Renan Gross 77
Slicing a Cone for Art and Science
Daniel S. Silver 90
High Fashion Meets Higher Mathematics
Kelly Delp 109
The Jordan Curve Theorem Is Nontrivial
Fiona Ross and William T. Ross 120
Why Mathematics? What Mathematics?
Anna Sfard 130
Math Anxiety: Who Has It, Why It Develops, and How to Guard against It
Erin A. Maloney and Sian L. Beilock 143
How Old Are the Platonic Solids?
David R. Lloyd 149
Early Modern Mathematical Instruments
Jim Bennett 163
A Revolution in Mathematics? What Really Happened a Century Ago and Why It Matters Today
Frank Quinn 175
Errors of Probability in Historical Context
Prakash Gorroochurn 191
The End of Probability
Elie Ayache 213
An abc Proof Too Tough Even for Mathematicians
Kevin Hartnett 225
Contributors 231
Notable Texts 237
Acknowledgments 241
Credits 243
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Idioma: Inglês
Editora: Princeton : Princeton University Press, ©2012.
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Idioma: Inglês
Editora: Princeton : Princeton University Press, ©2011.
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