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Oberwolfach Seminars

Discrete Differential Geometry

Editors: Bobenko, A.I., Schröder, P., Sullivan, J.M., Ziegler, G.M. (Eds.)

  • First book on a newly emerging field of discrete differential geometry providing an excellent way to access this new exciting area
  • Carefully edited collection of essays by key researchers in the field
  • Surveys fascinating connections between discrete geometry and differential geometry: for instance, circle patterns and triangulated surfaces on the discrete side connect to minimal surfaces and curvature line parametrizations on the differential side
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eBook $44.99
price for USA (gross)
  • ISBN 978-3-7643-8621-4
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  • Immediate eBook download after purchase
Softcover $59.99
price for USA
  • ISBN 978-3-7643-8620-7
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  • Usually dispatched within 3 to 5 business days.
About this book

Discrete differential geometry is an active mathematical terrain where differential geometry and discrete geometry meet and interact. It provides discrete equivalents of the geometric notions and methods of differential geometry, such as notions of curvature and integrability for polyhedral surfaces. Current progress in this field is to a large extent stimulated by its relevance for computer graphics and mathematical physics. This collection of essays, which documents the main lectures of the 2004 Oberwolfach Seminar on the topic, as well as a number of additional contributions by key participants, gives a lively, multi-facetted introduction to this emerging field.

Table of contents (17 chapters)

  • Surfaces from Circles

    Bobenko, Alexander I.

    Pages 3-35

  • Minimal Surfaces from Circle Patterns: Boundary Value Problems, Examples

    Bücking, Ulrike

    Pages 37-56

  • Designing Cylinders with Constant Negative Curvature

    Pinkall, Ulrich

    Pages 57-66

  • On the Integrability of Infinitesimal and Finite Deformations of Polyhedral Surfaces

    Schief, Wolfgang K. (et al.)

    Pages 67-93

  • Discrete Hashimoto Surfaces and a Doubly Discrete Smoke-Ring Flow

    Hoffmann, Tim

    Pages 95-115

Buy this book

eBook $44.99
price for USA (gross)
  • ISBN 978-3-7643-8621-4
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $59.99
price for USA
  • ISBN 978-3-7643-8620-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Discrete Differential Geometry
Editors
  • Alexander I. Bobenko
  • Peter Schröder
  • John M. Sullivan
  • Günter M. Ziegler
Series Title
Oberwolfach Seminars
Series Volume
38
Copyright
2008
Publisher
Birkhäuser Basel
Copyright Holder
Birkhäuser Basel
eBook ISBN
978-3-7643-8621-4
DOI
10.1007/978-3-7643-8621-4
Softcover ISBN
978-3-7643-8620-7
Series ISSN
1661-237X
Edition Number
1
Number of Pages
X, 341
Topics