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An Excursion Through Discrete Differential Geometry
 
Edited by: Keenan Crane Carnegie Mellon University, Pittsburgh, PA
An Excursion Through Discrete Differential Geometry
Softcover ISBN:  978-1-4704-4662-8
Product Code:  PSAPM/76
List Price: $118.00
MAA Member Price: $106.20
AMS Member Price: $94.40
eBook ISBN:  978-1-4704-6003-7
Product Code:  PSAPM/76.E
List Price: $118.00
MAA Member Price: $106.20
AMS Member Price: $94.40
Softcover ISBN:  978-1-4704-4662-8
eBook: ISBN:  978-1-4704-6003-7
Product Code:  PSAPM/76.B
List Price: $236.00 $177.00
MAA Member Price: $212.40 $159.30
AMS Member Price: $188.80 $141.60
An Excursion Through Discrete Differential Geometry
Click above image for expanded view
An Excursion Through Discrete Differential Geometry
Edited by: Keenan Crane Carnegie Mellon University, Pittsburgh, PA
Softcover ISBN:  978-1-4704-4662-8
Product Code:  PSAPM/76
List Price: $118.00
MAA Member Price: $106.20
AMS Member Price: $94.40
eBook ISBN:  978-1-4704-6003-7
Product Code:  PSAPM/76.E
List Price: $118.00
MAA Member Price: $106.20
AMS Member Price: $94.40
Softcover ISBN:  978-1-4704-4662-8
eBook ISBN:  978-1-4704-6003-7
Product Code:  PSAPM/76.B
List Price: $236.00 $177.00
MAA Member Price: $212.40 $159.30
AMS Member Price: $188.80 $141.60
  • Book Details
     
     
    Proceedings of Symposia in Applied Mathematics
    Volume: 762020; 140 pp
    MSC: Primary 53; 52; 65

    Discrete Differential Geometry (DDG) is an emerging discipline at the boundary between mathematics and computer science. It aims to translate concepts from classical differential geometry into a language that is purely finite and discrete, and can hence be used by algorithms to reason about geometric data. In contrast to standard numerical approximation, the central philosophy of DDG is to faithfully and exactly preserve key invariants of geometric objects at the discrete level. This process of translation from smooth to discrete helps to both illuminate the fundamental meaning behind geometric ideas and provide useful algorithmic guarantees.

    This volume is based on lectures delivered at the 2018 AMS Short Course “Discrete Differential Geometry,” held January 8–9, 2018, in San Diego, California.

    The papers in this volume illustrate the principles of DDG via several recent topics: discrete nets, discrete differential operators, discrete mappings, discrete conformal geometry, and discrete optimal transport.

    Readership

    Graduate students and researchers interested in discrete differential geometry and its applications.

  • Table of Contents
     
     
    • Articles
    • Max Wardetzky — Discrete Laplace operators
    • Johannes Wallner — Discrete parametric surfaces
    • Yaron Lipman — Discrete mappings
    • Keenan Crane — Conformal geometry of simplicial surfaces
    • Justin Solomon — Optimal transport on discrete domains
  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 762020; 140 pp
MSC: Primary 53; 52; 65

Discrete Differential Geometry (DDG) is an emerging discipline at the boundary between mathematics and computer science. It aims to translate concepts from classical differential geometry into a language that is purely finite and discrete, and can hence be used by algorithms to reason about geometric data. In contrast to standard numerical approximation, the central philosophy of DDG is to faithfully and exactly preserve key invariants of geometric objects at the discrete level. This process of translation from smooth to discrete helps to both illuminate the fundamental meaning behind geometric ideas and provide useful algorithmic guarantees.

This volume is based on lectures delivered at the 2018 AMS Short Course “Discrete Differential Geometry,” held January 8–9, 2018, in San Diego, California.

The papers in this volume illustrate the principles of DDG via several recent topics: discrete nets, discrete differential operators, discrete mappings, discrete conformal geometry, and discrete optimal transport.

Readership

Graduate students and researchers interested in discrete differential geometry and its applications.

  • Articles
  • Max Wardetzky — Discrete Laplace operators
  • Johannes Wallner — Discrete parametric surfaces
  • Yaron Lipman — Discrete mappings
  • Keenan Crane — Conformal geometry of simplicial surfaces
  • Justin Solomon — Optimal transport on discrete domains
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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