Mathematical Models From the Collections of Universities and Museums

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 e

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Mathematical Models From the Collections of Universities and Museums – Photograph Volume and Commentary Second Edition

Mathematical Models

Gerd Fischer Editor

Mathematical Models From the Collections of Universities and Museums – Photograph Volume and Commentary 2nd Edition With a preface by Gert-Martin Greuel

Editor Gerd Fischer Zentrum Mathematik Technische Universität München Garching, Germany

ISBN 978-3-658-18864-1 https://doi.org/10.1007/978-3-658-18865-8

ISBN 978-3-658-18865-8 (eBook)

Library of Congress Control Number: 2017951728 Springer Spektrum Reprint of the 1986 edition with a new preface by Gert-Martin Greuel © Springer Fachmedien Wiesbaden GmbH 1986, 2017 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. The publisher, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, express or implied, with respect to the material contained herein or for any errors or omissions that may have been made. The publisher remains neutral with regard to jurisdictional claims in published maps and institutional affiliations. Photographs by: Gerd Fischer, München Managing editor: Ulrike Schmickler-Hirzebruch Printed on acid-free paper This Springer Spektrum imprint is published by Springer Nature The registered company is Springer Fachmedien Wiesbaden GmbH The registered company address is: Abraham-Lincoln-Str. 46, 65189 Wiesbaden, Germany

Geleitwort zum Nachdruck – von den Gipsmodellen zu IMAGINARY

Preface to the reprint – from the plaster models ­to  ­IMAGINARY

Gert-Martin Greuel

Gert-Martin Greuel

Es ist eine große Freude, nach dreißig Jahren den Nachdruck von Gerd Fischers Band mit den wunderschönen Fotos mathematischer Modelle aus Papier, Draht, Holz und vor allem aus Gips zu begrüßen. Der Bau dieser Modelle war seinerzeit nicht Selbstzweck, sondern ging einher mit der mathematischen Forschung, insbesondere auf dem Gebiet der algebraischen Geometrie. Die Modelle dienten zur Veranschaulichung der mathematischen Objekte, die durch abstrakte Formeln, sei es durch Gleichungen oder durch Parametrisierungen, definiert waren.

It is a great pleasure to welcome the reprint of Gerd Fischer‘s volume of beautiful photos of mathematical models of paper, wire, w