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Mathematics - Geometry & Topology | Twentieth Anniversary Volume: Discrete & Computational Geometry

Twentieth Anniversary Volume: Discrete & Computational Geometry

Goodman, Jacob E., Pach, János, Pollack, Richard (Eds.)

2009

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  • Presents a comprehensive picture of the current state of the field of discrete and computational geometry
  • Includes an expanded preface with a set of photographs of groups and individuals who have played a major role in the history of the field in the past twenty years
  • Contains twenty-eight major articles chosen for the importance of their results, the breadth of their scope, and their depiction of the intimate connections between discrete and computational geometry and other areas of both computer science and mathematics
  • Some articles solve long-outstanding problems in the field
  • Editors are preeminent founders of the journal and the field itself

This commemorative book contains the 28 major articles that appeared in the 2008 Twentieth Anniversary Issue of the journal Discrete & Computational Geometry, and presents a comprehensive picture of the current state of the field. Formed during the past few decades by the merger of the classical discipline of combinatorial and discrete geometry with the new field of computational geometry that sprang up in the 1970s, discrete and computational geometry now claims the allegiance of a sizeable number of mathematicians and computer scientists all over the world, whose most important work has been appearing since 1986 in the pages of the journal.

The articles in this volume, a number of which solve long-outstanding problems in the field, were chosen by the editors of DCG for the importance of their results, for the breadth of their scope, and to show the intimate connections that have arisen between discrete and computational geometry and other areas of both computer science and mathematics. Apart from the articles, the editors present an expanded preface, along with a set of photographs of groups and individuals who have played a major role in the history of the field during the past twenty years.

Contributors include:

E. Ackerman

P.K. Agarwal

I. Aliev

I. Bárány

A. Barvinok

S. Basu

L.J. Billera

J.-D. Boissonnat

C. Borcea

E. Boros

K. Borys

B. Braun

K. Buchin

O. Cheong

D. Cohen-Steiner

M. Damian

K. Elbassioni

R. Flatland

T. Gerken

J.E. Goodman

X. Goaoc

P. Gronchi

V. Gurvich

S. Har-Peled

J. Hershberger

A. Holmsen

S.K. Hsiao

A. Hubard

J. Jerónimo

L. Khachiyan

R. Klein

C. Knauer

S. Langerman

J.-Y. Lee

M. Longinetti

E. Miller

P. Morin

U. Nagel

E. Nevo

P. Niyogi

I. Novik

J. O’Rourke

J. Pach

I. Pak

M.J. Pelsmajer

S. Petitjean

F. Pfender

R. Pinchasi

R. Pollack

J.S. Provan

K. Przeslawski

R.M. Richardson

G. Rote

M. Schaefer

Y. Schreiber

M. Sharir

J.R. Shewchuk

S. Smale

B. Solomyak

M. Soss

D. Štefankovic

G. Vegter

V.H. Vu

S. Weinberger

L. Wu

D. Yost

H. Yu

T. Zell

Content Level » Research

Keywords » Combinatorics - combinatorial geometry - complex geometry - computational geometry - computer graphics - general convexity - polyhedra - polytopes - real algebraic geometry - real analytic geometry - real geometry

Related subjects » Algebra - Computational Science & Engineering - Geometry & Topology - Image Processing - Theoretical Computer Science

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