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Mathematical Models

From the Collections of Universities and Museums – Photograph Volume and Commentary

  • Book
  • © 2017

Overview

  • Plaster Models et al. in geometry

  • Reprint of the 1986 edition in one volume

  • With a new preface by Gert-Martin Greuel

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Table of contents (14 chapters)

  1. Photo Collection

  2. Commentary Volume

Keywords

About this book

This book presents beautiful photos of mathematical models of geometric surfaces made from a variety of materials including plaster, metal, paper, wood, and string. The construction of these models at the time (of Felix Klein and others) was not an end in itself, but was accompanied by mathematical research especially in the field of algebraic geometry. The models were used to illustrate the mathematical objects defined by abstract formulas, either as equations or parameterizations. In the second part of the book, the models are explained by experts in the field of geometry.

This book is a reprint thirty years after the original publication in 1986 with a new preface by Gert-Martin Greuel. The models have a timeless appeal and a historical value.


Reviews

“It features 120 photographs of mathematical models from the second half of the 19th and early 20th century. … this book has a lot to teach about aesthetics and didactics of mathematical visualization – two aspects that will retain their importance in our times and in future.” (Hans-Peter Schröcker, zbMATH 1386.00007, 2018)

Editors and Affiliations

  • Zentrum Mathematik, Technische Universität München, Garching, Germany

    Gerd Fischer

About the editor

Prof. Dr. Gerd Fischer, Department of Mathematics, Technical University of Munich

Bibliographic Information

  • Book Title: Mathematical Models

  • Book Subtitle: From the Collections of Universities and Museums – Photograph Volume and Commentary

  • Editors: Gerd Fischer

  • DOI: https://doi.org/10.1007/978-3-658-18865-8

  • Publisher: Springer Spektrum Wiesbaden

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Springer Fachmedien Wiesbaden GmbH 2017

  • Softcover ISBN: 978-3-658-18864-1Published: 10 October 2017

  • eBook ISBN: 978-3-658-18865-8Published: 04 September 2017

  • Edition Number: 2

  • Number of Pages: XIX, 216

  • Number of Illustrations: 211 b/w illustrations, 9 illustrations in colour

  • Additional Information: The first edition was published in 2 volumes

  • Topics: Mathematics, general

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