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Hassler Whitney Collected Papers

  • James Eells
  • Domingo Toledo

Part of the Contemporary Mathematicians book series (CM)

Table of contents

  1. Front Matter
    Pages i-xiv
  2. Introduction

    1. Hassler Whitney
      Pages 1-21
  3. Graphs and Combinatorics

    1. Front Matter
      Pages 23-23
    2. Hassler Whitney
      Pages 24-36
    3. Hassler Whitney
      Pages 37-59
    4. Hassler Whitney
      Pages 80-110
    5. Hassler Whitney
      Pages 111-115
    6. Hassler Whitney
      Pages 116-124
    7. Hassler Whitney
      Pages 125-134
    8. Hassler Whitney
      Pages 135-146
    9. Hassler Whitney
      Pages 147-171
    10. Hassler Whitney
      Pages 179-184
    11. Hassler Whitney, W. T. Tutte
      Pages 185-225
  4. Differentiable Functions and Singularities

    1. Front Matter
      Pages 227-227
    2. Hassler Whitney
      Pages 309-310
    3. Hassler Whitney
      Pages 323-328
    4. Hassler Whitney
      Pages 329-352
    5. Hassler Whitney
      Pages 353-369
    6. Hassler Whitney
      Pages 407-435
    7. Hassler Whitney
      Pages 436-452
  5. Analytic Spaces

    1. Front Matter
      Pages 455-455
    2. Hassler Whitney
      Pages 456-467
    3. Hassler Whitney
      Pages 497-536
    4. Hassler Whitney
      Pages 537-590
  6. Back Matter
    Pages 591-592

About this book

Introduction

We present here the mathematical papers of Hassler Whitney. This collection contains all the published papers, with the exception of some short announcements that Whitney did not wish to be included. We also include the introduction to his book Geometric Integration Theory, and one previously unpublished manuscript on the four-color problem. The papers are presented under some broad categories: graphs· and combinatorics, differentiable functions and singularities, analytic spaces, manifolds, bundles and characteristic classes, topology and algebraic topology, geometric integration theory. Whitney intended to write an introduction to this collection. Unfortunately he left us no manuscript at the time of his death, May 10, 1989. We had discussed the possibility of using his paper "Moscow 1935 - Topology moving toward America," written for the Centennial of the American Mathematical Society, as part of his introduction to this collection, an idea which he much liked. We therefore include this paper, which contains personal information as well as mathematical reflections, as Whitney's own introduction to these volumes. Whitney's mathematical style, like his personal style, was that of an explorer and pioneer. One of the pictures included in these volumes shows him as a mountain climber. In mathematics, he preferred to work on undeveloped areas: break new ground and build foundations. During the last twenty years of his life he concentrated his efforts on developing an educational system that builds on the natural tendency in children to be explorers.

Keywords

Manuscript children classification education educational system information mathematics system time topological invariant topology university

Editors and affiliations

  • James Eells
    • 1
  • Domingo Toledo
    • 2
  1. 1.Department of MathematicsUniversity of WarwickCoventryEngland
  2. 2.Department of MathematicsUniversity of UtahSalt Lake CityUSA

Bibliographic information