Advertisement

The Geometric Vein

The Coxeter Festschrift

  • Chandler Davis
  • Branko Grünbaum
  • F. A. Sherk

Table of contents

  1. Front Matter
    Pages i-viii
  2. Introduction

    1. Chandler Davis, Branko Grünbaum, F. A. Sherk
      Pages 1-3
  3. H. S. M. Coxeter: Published Works

    1. Chandler Davis, Branko Grünbaum, F. A. Sherk
      Pages 5-13
  4. Polytopes and Honeycombs

    1. Front Matter
      Pages 15-15
    2. Branko Grünbaum, J. C. P. Miller, G. C. Shephard
      Pages 17-64
    3. Branko Grünbaum, G. C. Shephard
      Pages 65-98
    4. Jean J. Pedersen
      Pages 99-122
    5. P. McMullen
      Pages 123-128
    6. William J. Gilbert
      Pages 129-139
    7. Patrick Du Val
      Pages 191-201
    8. J. M. Goethals, J. J. Seidel
      Pages 203-218
    9. S. G. Hoggar
      Pages 219-230
    10. Stanley E. Payne
      Pages 231-242
  5. Extremal Problems

    1. Front Matter
      Pages 251-251
    2. I. M. Yaglom
      Pages 253-269
    3. L. Fejes Tóth
      Pages 271-277
    4. P. R. Goodey, M. M. Woodcock
      Pages 289-296
  6. Geometric Transformations

    1. Front Matter
      Pages 319-319
    2. J. C. Fisher, D. Ruoff, J. Shilleto
      Pages 321-333
    3. J. B. Wilker
      Pages 379-442
    4. Norman W. Johnson
      Pages 443-464
    5. G. Ewald
      Pages 471-476
    6. B. A. Rosenfeld, N. I. Haritonova, I. N. Kashirina
      Pages 477-484
    7. Cyril W. L. Garner
      Pages 485-493
  7. Groups and Presentations of Groups

    1. Front Matter
      Pages 495-495
    2. William M. Kantor
      Pages 497-509
    3. J. Tits
      Pages 519-547
    4. David Ford, John McKay
      Pages 549-554
    5. Howard L. Hiller
      Pages 555-559
    6. C. M. Campbell, E. F. Robertson
      Pages 561-567
    7. C. M. Campbell, E. F. Robertson
      Pages 569-576
  8. The Combinatorial Side

    1. Front Matter
      Pages 577-577
    2. W. T. Tutte
      Pages 579-582
    3. Joseph Malkevitch
      Pages 583-584
    4. W. O. J. Moser
      Pages 585-592
    5. Harold N. Ward
      Pages 593-598

About these proceedings

Introduction

Geometry has been defined as that part of mathematics which makes appeal to the sense of sight; but this definition is thrown in doubt by the existence of great geometers who were blind or nearly so, such as Leonhard Euler. Sometimes it seems that geometric methods in analysis, so-called, consist in having recourse to notions outside those apparently relevant, so that geometry must be the joining of unlike strands; but then what shall we say of the importance of axiomatic programmes in geometry, where reference to notions outside a restricted reper­ tory is banned? Whatever its definition, geometry clearly has been more than the sum of its results, more than the consequences of some few axiom sets. It has been a major current in mathematics, with a distinctive approach and a distinc­ ti v e spirit. A current, furthermore, which has not been constant. In the 1930s, after a period of pervasive prominence, it appeared to be in decline, even passe. These same years were those in which H. S. M. Coxeter was beginning his scientific work. Undeterred by the unfashionability of geometry, Coxeter pursued it with devotion and inspiration. By the 1950s he appeared to the broader mathematical world as a consummate practitioner of a peculiar, out-of-the-way art. Today there is no longer anything that out-of-the-way about it. Coxeter has contributed to, exemplified, we could almost say presided over an unanticipated and dra­ matic revival of geometry.

Keywords

Finite Fundamental group Invariant Lie Slate algebra algebraic surface derivation group harmonic analysis mathematics polygon polytope presentation transformation

Editors and affiliations

  • Chandler Davis
    • 1
  • Branko Grünbaum
    • 2
  • F. A. Sherk
    • 1
  1. 1.Department of MathematicsUniversity of TorontoTorontoCanada
  2. 2.Department of MathematicsUniversity of WashingtonSeattleUSA

Bibliographic information