Mathematics, Culture, and the Arts

Simplicity: Ideals of Practice in Mathematics and the Arts

Editors: Kossak, Roman, Ording, Philip (Eds.)

  • Probes mathematical aspects of the phenomenon of simplicity as the core practice of mathematics and artwork 
  • Attempts to build a bridge across the cultures of art and mathematics through simplicity 
  • Appeals to a broad audience, including readers of art, art history, philosophy, and science, in addition to the general mathematics readership
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eBook $29.99
price for USA (gross)
  • ISBN 978-3-319-53385-8
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Hardcover $39.99
price for USA
  • ISBN 978-3-319-53383-4
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About this book

To find "criteria of simplicity" was the goal of David Hilbert's recently discovered twenty-fourth problem on his renowned list of open problems given at the 1900 International Congress of Mathematicians in Paris. At the same time, simplicity and economy of means are powerful impulses in the creation of artworks. This was an inspiration for a conference, titled the same as this volume, that took place at the Graduate Center of the City University of New York in April of 2013. This volume includes selected lectures presented at the conference, and additional contributions offering diverse perspectives from art and architecture, the philosophy and history of mathematics, and current mathematical practice.

About the authors

Roman Kossak’s research is in model theory of nonstandard models of formal arithmetic. For over 30 years he has worked at the City University of New York, where he teaches developmental courses at Bronx Community College and mathematical logic and model theory at the Graduate Center. His other interests include phenomenology and interactions between mathematics and the arts.

Philip Ording is a member of the mathematics faculty at Sarah Lawrence College in Bronxville, New York. He received a PhD in Mathematics from Columbia University in 2006. While a graduate student of topology and geometry he began working as a mathematics consultant in art and architecture studios in New York. Since then he has published essays, curated exhibitions, and lectured on the intersection of mathematics and the arts.

Table of contents (19 chapters)

  • Inner Simplicity vs. Outer Simplicity

    Ghys, Étienne

    Pages 1-14

  • The Complexity of Simplicity: The Inner Structure of the Artistic Image

    Pallasmaa, Juhani

    Pages 15-26

  • Thinking in Four Dimensions

    McDuff, Dusa

    Pages 27-35

  • Kant, Co-Production, Actuality, and Pedestrian Space: Remarks on the Philosophical Writings of Fred Sandback

    Kennedy, Juliette

    Pages 37-48

  • What Simplicity Is Not

    Malliaris, Maryanthe (et al.)

    Pages 49-58

Buy this book

eBook $29.99
price for USA (gross)
  • ISBN 978-3-319-53385-8
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $39.99
price for USA
  • ISBN 978-3-319-53383-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Simplicity: Ideals of Practice in Mathematics and the Arts
Editors
  • Roman Kossak
  • Philip Ording
Series Title
Mathematics, Culture, and the Arts
Copyright
2017
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing AG
eBook ISBN
978-3-319-53385-8
DOI
10.1007/978-3-319-53385-8
Hardcover ISBN
978-3-319-53383-4
Series ISSN
2520-8578
Edition Number
1
Number of Pages
XX, 305
Number of Illustrations and Tables
25 b/w illustrations, 1 illustrations in colour
Topics