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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 Whimey 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 We also include the introduction to his book Geometric Integration Theory, and one previously unpublished manuscript on the four-color problem.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. Whimey 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 Whimey's own introduction to these volumes. Whimey's mathematical style, like his personal style. was that of an explorer and pioneer. Ooe 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.
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Table of contents (38 chapters)
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Front Matter
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Manifolds
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Front Matter
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Bundles and Characteristic Classes
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Front Matter
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Editors and Affiliations
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Bibliographic Information
Book Title: Hassler Whitney Collected Papers
Book Subtitle: Vol.2
Editors: James Eells, Domingo Toledo
Series Title: Contemporary Mathematicians
DOI: https://doi.org/10.1007/978-1-4612-2974-2
Publisher: Birkhäuser Boston, MA
eBook Packages: Mathematics and Statistics (R0)
Copyright Information: Birkhäuser Boston 1992
Softcover ISBN: 978-1-4612-7741-5Published: 12 October 2011
eBook ISBN: 978-1-4612-2974-2Published: 29 April 2025
Series ISSN: 0884-7037
Edition Number: 1
Number of Pages: XVI, 600
Topics: Science, Humanities and Social Sciences, multidisciplinary