Skip to main content
SpringerLink
Log in
Birkhäuser

Hassler Whitney Collected Papers Volume I

Vol.1

  • Book
  • © 1992

Overview

Editors:
  1. James Eells

    1. Department of Mathematics, University of Warwick, Coventry, England

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  2. Domingo Toledo

    1. Department of Mathematics, University of Utah, Salt Lake City, USA

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

Part of the book series: Contemporary Mathematicians (CM)

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 79.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 99.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (34 chapters)

  1. Front Matter

    Pages i-xiv
    Download chapter PDF

  2. Introduction

    1. Moscow 1935: Topology Moving Toward America

      • Hassler Whitney
      Pages 1-21

  3. Graphs and Combinatorics

    1. Front Matter

      Pages 23-23
      Download chapter PDF

    2. A Theorem on Graphs

      • Hassler Whitney
      Pages 24-36

    3. Non-Separable and Planar Graphs

      • Hassler Whitney
      Pages 37-59

    4. Congruent Graphs and the Connectivity of Graphs

      • Hassler Whitney
      Pages 61-79

    5. The Coloring Of Graphs

      • Hassler Whitney
      Pages 80-110

    6. A Set of Topological Invariants for Graphs

      • Hassler Whitney
      Pages 111-115

    7. On the Classification of Graphs

      • Hassler Whitney
      Pages 116-124

    8. 2-Isomorphic Graphs

      • Hassler Whitney
      Pages 125-134

    9. Planar Graphs

      • Hassler Whitney
      Pages 135-146

    10. On the Abstract Properties of Linear Dependence

      • Hassler Whitney
      Pages 147-171

    11. A numerical equivalent of the four color map Problem

      • Hassler Whitney
      Pages 172-178

    12. On reducibility in the four color problem

      • Hassler Whitney
      Pages 179-184

    13. Kempe Chains and the Four Colour Problem

      • Hassler Whitney, W. T. Tutte
      Pages 185-225

  4. Differentiable Functions and Singularities

    1. Front Matter

      Pages 227-227
      Download chapter PDF

    2. Analytic Extensions of Differentiable Functions Defined in Closed Sets

      • Hassler Whitney
      Pages 228-254

    3. Derivatives, Difference Quotients, and Taylor’s Formula

      • Hassler Whitney
      Pages 256-260

    4. Differentiable Functions Defined in Closed Sets. I

      • Hassler Whitney
      Pages 261-279

    5. Derivatives, Difference Quotients and Taylor’s Formula II

      • Hassler Whitney
      Pages 280-285
Back to top

Keywords

About this book

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.

Editors and Affiliations

  • Department of Mathematics, University of Warwick, Coventry, England

    James Eells

  • Department of Mathematics, University of Utah, Salt Lake City, USA

    Domingo Toledo

Bibliographic Information

  • Book Title: Hassler Whitney Collected Papers Volume I

  • Book Subtitle: Vol.1

  • Editors: James Eells, Domingo Toledo

  • Series Title: Contemporary Mathematicians

  • DOI: https://doi.org/10.1007/978-1-4612-2972-8

  • Publisher: Birkhäuser Boston, MA

  • eBook Packages: Springer Book Archive

  • Copyright Information: Birkhäuser Boston 1992

  • Softcover ISBN: 978-1-4612-7740-8Published: 25 February 2012

  • eBook ISBN: 978-1-4612-2972-8Published: 29 June 2013

  • Series ISSN: 0884-7037

  • Edition Number: 1

  • Number of Pages: XIV, 592

  • Topics: Science, Humanities and Social Sciences, multidisciplinary

Publish with us

Policies and ethics

Back to top

Search

Navigation