The best writing on mathematics 2012
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 2012makes available to a wide audience many articles not easily found anywhere else...
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| Hlavní autor: | |
|---|---|
| Médium: | E-kniha |
| Jazyk: | angličtina |
| Vydáno: |
Princeton
Princeton University Press
2012
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| Vydání: | 1 |
| Edice: | The Best Writing on Mathematics |
| Témata: | |
| ISBN: | 9780691156552, 0691156557, 1400844673, 9781400844678 |
| On-line přístup: | Získat plný text |
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- The best writing on mathematics 2012 -- Contents -- Foreword: The Synergy of Pure and Applied Mathematics, of the Abstract and the Concrete -- Introduction -- Why Math Works -- Is Mathematics Discovered or Invented? -- The Unplanned Impact of Mathematics -- An Adventure in the Nth Dimension -- Structure and Randomness in the Prime Numbers -- The Strangest Numbers in String Theory -- Mathematics Meets Photography: The Viewable Sphere -- Dancing Mathematics and the Mathematics of Dance -- Can One Hear the Sound of a Theorem? -- Flat-Unfoldability and Woven Origami Tessellations -- A Continuous Path from High School Calculus to University Analysis -- Mathematics Teachers' Subtle, Complex Disciplinary Knowledge -- How to Be a Good Teacher Is an Undecidable Problem -- How Your Philosophy of Mathematics Impacts Your Teaching -- Variables in Mathematics Education -- Bottom Line on Mathematics Education -- History of Mathematics and History of Science Reunited? -- Augustus De Morgan behind the Scenes -- Routing Problems: A Historical Perspective -- The Cycloid and Jean Bernoulli -- Was Cantor Surprised? -- Why Is There Philosophy of Mathematics at All? -- Ultimate Logic: To Infinity and Beyond -- Mating, Dating, and Mathematics: It's All in the Game -- Contributors -- Notable Texts -- Acknowledgments -- Credits
- Front Matter Table of Contents Foreword: Introduction Why Math Works Is Mathematics Discovered or Invented? The Unplanned Impact of Mathematics An Adventure in theNth Dimension Structure and Randomness in the Prime Numbers The Strangest Numbers in String Theory Mathematics Meets Photography: Dancing Mathematics and the Mathematics of Dance Can One Hear the Sound of a Theorem? Flat-Unfoldability and Woven Origami Tessellations A Continuous Path from High School Calculus to University Analysis Mathematics Teachers’ Subtle, Complex Disciplinary Knowledge How to Be a Good Teacher Is an Undecidable Problem How Your Philosophy of Mathematics Impacts Your Teaching Variables in Mathematics Education Bottom Line on Mathematics Education History of Mathematics and History of Science Reunited? Augustus De Morgan behind the Scenes Routing Problems: The Cycloid and Jean Bernoulli Was Cantor Surprised? Why Is There Philosophy of Mathematics at All? Ultimate Logic: Mating, Dating, and Mathematics: Contributors Notable Texts Acknowledgments Credits
- Cover -- The BEST WRITING on MATHEMATICS 2012 -- Title -- Copyright -- Dedication -- Contents -- Foreword: The Synergy of Pure and Applied Mathematics, of the Abstract and the Concrete -- Introduction -- Why Math Works -- Is Mathematics Discovered or Invented? -- The Unplanned Impact of Mathematics -- An Adventure in the Nth Dimension -- Structure and Randomness in the Prime Numbers -- The Strangest Numbers in String Theory -- Mathematics Meets Photography: The Viewable Sphere -- Dancing Mathematics and the Mathematics of Dance -- Can One Hear the Sound of a Theorem? -- Flat-Unfoldability and Woven Origami Tessellations -- A Continuous Path from High School Calculus to University Analysis -- Mathematics Teachers' Subtle, Complex Disciplinary Knowledge -- How to Be a Good Teacher Is an Undecidable Problem -- How Your Philosophy of Mathematics Impacts Your Teaching -- Variables in Mathematics Education -- Bottom Line on Mathematics Education -- History of Mathematics and History of Science Reunited? -- Augustus De Morgan behind the Scenes -- Routing Problems: A Historical Perspective -- The Cycloid and Jean Bernoulli -- Was Cantor Surprised? -- Why Is There Philosophy of Mathematics at All? -- Ultimate Logic: To Infinity and Beyond -- Mating, Dating, and Mathematics: It's All in the Game -- Contributors -- Notable Texts -- Acknowledgments -- Credits
- Terence Tao --
- Mathematics Teachers’ Subtle, Complex Disciplinary Knowledge
- David Mumford --
- Routing Problems: A Historical Perspective
- Sarah-Marie Belcastro, Karl Schaffer --
- Ultimate Logic: To Infinity and Beyond
- David Mumford, Sol Garfunkel --
- Acknowledgments
- Was Cantor Surprised?
- Brent Davis --
- Charlotte Simmons --
- Foreword: The Synergy of Pure and Applied Mathematics, of the Abstract and the Concrete
- Can One Hear the Sound of a Theorem?
- How Your Philosophy of Mathematics Impacts Your Teaching
- Augustus De Morgan behind the Scenes
- Fernando Q. Gouvêa --
- Richard Elwes --
- Why Is There Philosophy of Mathematics at All?
- Rob Schneiderman --
- Bonnie Gold --
- Notable Texts
- -
- The Cycloid and Jean Bernoulli
- /
- Contents
- Why Math Works
- Introduction
- Timothy Gowers --
- The Strangest Numbers in String Theory
- Brian Hayes --
- Mating, Dating, and Mathematics: It’s All in the Game
- Is Mathematics Discovered or Invented?
- Susanna S. Epp --
- Bottom Line on Mathematics Education
- Giuseppe Bruno, Andrea Genovese, Gennaro Improta --
- Eririca Flapan --
- An Adventure in the Nth Dimension
- Contributors
- Ian Hacking --
- Mathematics Meets Photography: The Viewable Sphere
- Peter Rowlett --
- The Unplanned Impact of Mathematics
- Flat-Unfoldability and Woven Origami Tessellations
- David Swart, Bruce Torrence --
- Dancing Mathematics and the Mathematics of Dance
- Structure and Randomness in the Prime Numbers
- Variables in Mathematics Education
- Gerald L. Alexanderson --
- Robert J. Lang --
- Mircea Pitici --
- Jeremy Gray --
- History of Mathematics and History of Science Reunited?
- Credits
- Mario Livio --
- John C. Baez, John Huerta --
- Frontmatter --
- A Continuous Path from High School Calculus to University Analysis
- How to Be a Good Teacher Is an Undecidable Problem
- Mark Colyvan --