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Strange Phenomena in Convex and Discrete Geometry

  • Chuanming Zong
  • James J. Dudziak

Part of the Universitext book series (UTX)

Table of contents

  1. Front Matter
    Pages i-x
  2. Chuanming Zong, James J. Dudziak
    Pages 1-13
  3. Chuanming Zong, James J. Dudziak
    Pages 15-35
  4. Chuanming Zong, James J. Dudziak
    Pages 37-54
  5. Chuanming Zong, James J. Dudziak
    Pages 55-82
  6. Chuanming Zong, James J. Dudziak
    Pages 83-98
  7. Chuanming Zong, James J. Dudziak
    Pages 99-122
  8. Chuanming Zong, James J. Dudziak
    Pages 123-142
  9. Back Matter
    Pages 143-158

About this book

Introduction

Convex and discrete geometry is one of the most intuitive subjects in mathematics. One can explain many of its problems, even the most difficult - such as the sphere-packing problem (what is the densest possible arrangement of spheres in an n-dimensional space?) and the Borsuk problem (is it possible to partition any bounded set in an n-dimensional space into n+1 subsets, each of which is strictly smaller in "extent" than the full set?) - in terms that a layman can understand; and one can reasonably make conjectures about their solutions with little training in mathematics.

Keywords

Area Finite Lattice Lemma Partition Volume approximation boundary element method discrete geometry functions integral mathematics proof theorem training

Authors and affiliations

  • Chuanming Zong
    • 1
  1. 1.Institute of MathematicsThe Chinese Academy of SciencesBeijingPR China

Editors and affiliations

  • James J. Dudziak
    • 1
  1. 1.Department of MathematicsBucknell UniversityLewisburgUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4613-8481-6
  • Copyright Information Springer-Verlag New York 1996
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-0-387-94734-1
  • Online ISBN 978-1-4613-8481-6
  • Series Print ISSN 0172-5939
  • Series Online ISSN 2191-6675
  • Buy this book on publisher's site