Mathematics and the Aesthetic

New Approaches to an Ancient Affinity

  • Nathalie Sinclair
  • David Pimm
  • William Higginson

Part of the CMS Books in Mathematics book series (CMSBM)

Table of contents

  1. Front Matter
    Pages i-xv
  2. A Historical Gaze at the Mathematical Aesthetic

    1. Nathalie Sinclair, David Pimm
      Pages 1-17
  3. The Mathematician’s Art

    1. Front Matter
      Pages 19-20
    2. Jonathan M. Borwein
      Pages 21-40
    3. Doris Schattschneider
      Pages 41-57
    4. David W. Henderson, Daina Taimina
      Pages 58-83
  4. A Sense for Mathematics

    1. Front Matter
      Pages 85-86
    2. Nathalie Sinclair
      Pages 87-104
    3. Martin Schiralli
      Pages 105-125
    4. William Higginson
      Pages 126-142
  5. Mathematical Agency

    1. Front Matter
      Pages 143-143
    2. Dick Tahta
      Pages 191-222
    3. David Pimm, Nathalie Sinclair
      Pages 223-254
  6. Back Matter
    Pages 255-288

About this book

Introduction

The essays in this book explore the ancient affinity between the mathematical and the aesthetic, focusing on the fundamental connections between these two modes of reasoning and communicating. From historical, philosophical and psychological perspectives, with particular attention to certain mathematical areas such as geometry and analysis, the authors examine the ways in which the aesthetic is ever present in mathematical thinking and contributes to the growth and value of mathematical knowledge.

This book includes the following essays:

• A Historical Gaze at the Mathematical Aesthetic, by Nathalie Sinclair and David Pimm

• Aesthetics for the Working Mathematician, by Jonathan M. Borwein

• Beauty and Truth in Mathematics, by Doris Schattschneider

• Experiencing Meanings in Geometry, by David W. Henderson and Daina Taimina

• The Aesthetic Sensibilities of Mathematicians, by Nathalie Sinclair

• The Meaning of Pattern, by Martin Schiralli

• Mathematics, Aesthetics and Being Human, by William Higginson

• Mechanism and Magic in the Psychology of Dynamic Geometry, by R. Nicholas Jackiw

• Drawing on the Image in Mathematics and Art, by David Pimm

• Sensible Objects, by Dick Tahta

• Aesthetics and the ‘Mathematical Mind’, by David Pimm and Nathalie Sinclair

Keywords

Mathematica geometry mathematics pattern

Editors and affiliations

  • Nathalie Sinclair
    • 1
  • David Pimm
    • 2
  • William Higginson
    • 3
  1. 1.Faculty of Education A235 McArthur HallQueen’s UniversityKingstonCanada
  2. 2.Department of Mathematics D216 Wells HallMichigan State UniversityEast LansingUSA
  3. 3.Department of Secondary Education 341 Education SouthUniversity of AlbertaEdmontonCanada

Bibliographic information

  • DOI https://doi.org/10.1007/978-0-387-38145-9
  • Copyright Information Springer New York 2007
  • Publisher Name Springer, New York, NY
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-0-387-30526-4
  • Online ISBN 978-0-387-38145-9
  • Series Print ISSN 1613-5237
  • About this book