Overview

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 2012 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 ...

See more details below
The Best Writing on Mathematics 2012

Available on NOOK devices and apps  
  • NOOK Devices
  • Samsung Galaxy Tab 4 NOOK
  • NOOK HD/HD+ Tablet
  • NOOK
  • NOOK Color
  • NOOK Tablet
  • Tablet/Phone
  • NOOK for Windows 8 Tablet
  • NOOK for iOS
  • NOOK for Android
  • NOOK Kids for iPad
  • PC/Mac
  • NOOK for Windows 8
  • NOOK for PC
  • NOOK for Mac

Want a NOOK? Explore Now

NOOK Book (eBook - Course Book)
$11.49
BN.com price
(Save 42%)$19.95 List Price

Overview

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 2012 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 Robert Lang explains mathematical aspects of origami foldings; Terence Tao discusses the frequency and distribution of the prime numbers; Timothy Gowers and Mario Livio ponder whether mathematics is invented or discovered; Brian Hayes describes what is special about a ball in five dimensions; Mark Colyvan glosses on the mathematics of dating; 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 mathematician David Mumford 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.

Read More Show Less

Editorial Reviews

New York Journal of Books

Praise for The Best Writing on Mathematics 2011: "Wonderful . . . .The Best Writing on Mathematics 2011 cannot be recommended highly enough!
— Robert Schaefer
Irish Mathematical Society Bulletin
Compiling a good anthology is no easy task, but here Mircea Pitici has succeeded in putting together a wonderful and varied bouquet of texts related to mathematics. . . . I highly recommend this book to everyone with an interest in mathematics, whether they are professional mathematician, graduate or undergraduate students, teachers, or enthusiastic amateurs.
— Stephen Buckley
Zentralblatt MATH Database
The book addresses not only mathematicians but everyone who is interested in this field. The range of topics that are covered in this book is really impressing. . . . The editor has selected articles that really deserve to be read again. I can warmly recommend this book.
— Ehrhard Behrends
Zentralblatt MATH

The book addresses not only mathematicians but everyone who is interested in this field. The range of topics that are covered in this book is really impressing. . . . The editor has selected articles that really deserve to be read again. I can warmly recommend this book.
— Ehrhard Behrends
Australian Mathematics Society Gazette
I recommend this book to Gazette readers as enjoyable bedside reading.
— Phill Schultz
Irish Mathematical Society Bulletin - Stephen Buckley
Compiling a good anthology is no easy task, but here Mircea Pitici has succeeded in putting together a wonderful and varied bouquet of texts related to mathematics. . . . I highly recommend this book to everyone with an interest in mathematics, whether they are professional mathematician, graduate or undergraduate students, teachers, or enthusiastic amateurs.
Zentralblatt MATH - Ehrhard Behrends
The book addresses not only mathematicians but everyone who is interested in this field. The range of topics that are covered in this book is really impressing. . . . The editor has selected articles that really deserve to be read again. I can warmly recommend this book.
Australian Mathematics Society Gazette - Phill Schultz
I recommend this book to Gazette readers as enjoyable bedside reading.
Mathematical Reviews - Mark Bollman
The volume is suitable for casual browsing and for extended reading. The choices are entirely worthy of inclusion in a volume of the 'best' mathematics writing.
Inside Higher Ed - ScottMcLemee
Mircea Pitici, the editor, pulls together work at various levels of complexity and from authors who pursue their subjects from a number of angles: historical or biographical narrative, philosophical speculation both professional and amateur, journalistic commentary on the state of math education and its discontents. And the arrangement of the material is . . . intelligent and even artful. Certain figures and questions weave in and out of this volume—making it more unified than 'best of' annuals tend to be.
Organiser - R. Balashankar
Each of the essays is interesting, readable, and purposeful. . . . The contributors are some of the best brains from universities all over the world.
European Mathematical Society - A. Bultheel
This is indeed a collection of the most wonderful writings on mathematics that have appeared recently. Not elementary at all and yet accessible to a general audience. Of course this is just the top of a gigantic iceberg, a top that has been selected on the basis of space and copyright limitations.
From the Publisher

"Compiling a good anthology is no easy task, but here Mircea Pitici has succeeded in putting together a wonderful and varied bouquet of texts related to mathematics. . . . I highly recommend this book to everyone with an interest in mathematics, whether they are professional mathematician, graduate or undergraduate students, teachers, or enthusiastic amateurs."--Stephen Buckley, Irish Mathematical Society Bulletin

"The book addresses not only mathematicians but everyone who is interested in this field. The range of topics that are covered in this book is really impressing. . . . The editor has selected articles that really deserve to be read again. I can warmly recommend this book."--Ehrhard Behrends, Zentralblatt MATH

"I recommend this book to Gazette readers as enjoyable bedside reading."--Phill Schultz, Australian Mathematics Society Gazette

"The volume is suitable for casual browsing and for extended reading. The choices are entirely worthy of inclusion in a volume of the 'best' mathematics writing."--Mark Bollman, Mathematical Reviews

"Mircea Pitici, the editor, pulls together work at various levels of complexity and from authors who pursue their subjects from a number of angles: historical or biographical narrative, philosophical speculation both professional and amateur, journalistic commentary on the state of math education and its discontents. And the arrangement of the material is . . . intelligent and even artful. Certain figures and questions weave in and out of this volume--making it more unified than 'best of' annuals tend to be."--ScottMcLemee, Inside Higher Ed

"Each of the essays is interesting, readable, and purposeful. . . . The contributors are some of the best brains from universities all over the world."--R. Balashankar, Organiser

"This is indeed a collection of the most wonderful writings on mathematics that have appeared recently. Not elementary at all and yet accessible to a general audience. Of course this is just the top of a gigantic iceberg, a top that has been selected on the basis of space and copyright limitations."--A. Bultheel, European Mathematical Society

"[B]e sure to take a look at the book; odds are good that you'll find something in it that strikes your fancy. As somebody who enjoys expository articles but generally doesn't have the time to track them down and read them, finding a hand-picked collection like this assembled in one place was a delight."--Mark Hunacek, MAA Reviews

"Long ago it was possible for physics and mathematics (both applied and pure) to coexist in one person's mind, where developments in all three could occur. Archimedes calculated the volume of a sphere and created the lever. Newton did calculus and studied gravity. With the growth of these fields, however, it is no longer possible to deeply study them all. This is why, even with expositions for the layperson, writings like this are so important."--Edward Charles Keppelmann, Mathematical Reviews Clippings

Read More Show Less

Product Details

  • ISBN-13: 9781400844678
  • Publisher: Princeton University Press
  • Publication date: 11/11/2012
  • Series: Best Writing on Mathematics
  • Sold by: Barnes & Noble
  • Format: eBook
  • Edition description: Course Book
  • Pages: 320
  • Sales rank: 1,330,390
  • File size: 5 MB

Meet the Author

Mircea Pitici, a PhD candidate in mathematics education at Cornell University, teaches math and writing at Cornell and Ithaca College. He also edited the 2010 and 2011 editions of "The Best Writing on Mathematics" (both Princeton).
Read More Show Less

Table of Contents

Foreword: The Synergy of Pure and Applied Mathematics, of the Abstract and the Concrete
David Mumford ix
Introduction
Mircea Pitici xvii
Why Math Works
Mario Livio 1
Is Mathematics Discovered or Invented?
Timothy Gowers 8
The Unplanned Impact of Mathematics
Peter Rowlett 21
An Adventure in the Nth Dimension
Brian Hayes 30
Structure and Randomness in the Prime Numbers
Terence Tao 43
The Strangest Numbers in String Theory
John C. Baez and John Huerta 50
Mathematics Meets Photography: The Viewable Sphere
David Swart and Bruce Torrence 61
Dancing Mathematics and the Mathematics of Dance
Sarah-Marie Belcastro and Karl Schaffer 79
Can One Hear the Sound of a Theorem?
Rob Schneiderman 93
Flat-Unfoldability and Woven Origami Tessellations
Robert J. Lang 113
A Continuous Path from High School Calculus to University Analysis
Timothy Gowers 129
Mathematics Teachers' Subtle, Complex Disciplinary Knowledge
Brent Davis 135
How to Be a Good Teacher Is an Undecidable Problem
Erica Flapan 141
How Your Philosophy of Mathematics Impacts Your Teaching
Bonnie Gold 149
Variables in Mathematics Education
Susanna S. Epp 163
Bottom Line on Mathematics Education
David Mumford and Sol Garfunkel 173
History of Mathematics and History of Science Reunited?
Jeremy Gray 176
Augustus De Morgan behind the Scenes
Charlotte Simmons 186
Routing Problems: A Historical Perspective
Giuseppe Bruno, Andrea Genovese, and Gennaro Improta 197
The Cycloid and Jean Bernoulli
Gerald L. Alexanderson 209
Was Cantor Surprised?
Fernando Q. Gouvêa 216
Why Is There Philosophy of Mathematics at All?
Ian Hacking 234
Ultimate Logic: To Infinity and Beyond
Richard Elwes 255
Mating, Dating, and Mathematics: It's All in the Game
Mark Colyvan 262
Contributors 273
Notable Texts 281
Acknowledgments 285
Credits 287
Read More Show Less

Customer Reviews

Be the first to write a review
( 0 )
Rating Distribution

5 Star

(0)

4 Star

(0)

3 Star

(0)

2 Star

(0)

1 Star

(0)

Your Rating:

Your Name: Create a Pen Name or

Barnes & Noble.com Review Rules

Our reader reviews allow you to share your comments on titles you liked, or didn't, with others. By submitting an online review, you are representing to Barnes & Noble.com that all information contained in your review is original and accurate in all respects, and that the submission of such content by you and the posting of such content by Barnes & Noble.com does not and will not violate the rights of any third party. Please follow the rules below to help ensure that your review can be posted.

Reviews by Our Customers Under the Age of 13

We highly value and respect everyone's opinion concerning the titles we offer. However, we cannot allow persons under the age of 13 to have accounts at BN.com or to post customer reviews. Please see our Terms of Use for more details.

What to exclude from your review:

Please do not write about reviews, commentary, or information posted on the product page. If you see any errors in the information on the product page, please send us an email.

Reviews should not contain any of the following:

  • - HTML tags, profanity, obscenities, vulgarities, or comments that defame anyone
  • - Time-sensitive information such as tour dates, signings, lectures, etc.
  • - Single-word reviews. Other people will read your review to discover why you liked or didn't like the title. Be descriptive.
  • - Comments focusing on the author or that may ruin the ending for others
  • - Phone numbers, addresses, URLs
  • - Pricing and availability information or alternative ordering information
  • - Advertisements or commercial solicitation

Reminder:

  • - By submitting a review, you grant to Barnes & Noble.com and its sublicensees the royalty-free, perpetual, irrevocable right and license to use the review in accordance with the Barnes & Noble.com Terms of Use.
  • - Barnes & Noble.com reserves the right not to post any review -- particularly those that do not follow the terms and conditions of these Rules. Barnes & Noble.com also reserves the right to remove any review at any time without notice.
  • - See Terms of Use for other conditions and disclaimers.
Search for Products You'd Like to Recommend

Recommend other products that relate to your review. Just search for them below and share!

Create a Pen Name

Your Pen Name is your unique identity on BN.com. It will appear on the reviews you write and other website activities. Your Pen Name cannot be edited, changed or deleted once submitted.

 
Your Pen Name can be any combination of alphanumeric characters (plus - and _), and must be at least two characters long.

Continue Anonymously

    If you find inappropriate content, please report it to Barnes & Noble
    Why is this product inappropriate?
    Comments (optional)