Geometry in History
This is a collection of surveys on important mathematical ideas, their origin, their evolution and their impact in current research. The authors are mathematicians who are leading experts in their fields. The book is addressed to all mathematicians, from
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metry in History
Geometry in History
S. G. Dani • Athanase Papadopoulos Editors
Geometry in History
123
Editors S. G. Dani University of Mumbai & Department of Atomic Energy Centre for Excellence in Basic Sciences Mumbai, Maharashtra, India
Athanase Papadopoulos Institut de Recherche Mathématique University of Strasbourg, CNRS Strasbourg Cedex, France
ISBN 978-3-030-13608-6 ISBN 978-3-030-13609-3 (eBook) https://doi.org/10.1007/978-3-030-13609-3 © Springer Nature Switzerland AG 2019 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. This Springer imprint is published by the registered company Springer Nature Switzerland AG. The registered company address is: Gewerbestrasse 11, 6330 Cham, Switzerland
Preface
This volume consists of a collection of essays on geometry from a historical viewpoint, addressed to the general mathematical community interested in the history of ideas and their evolution. In planning this book as editors we went with the conviction that writing on the basic geometrical concepts from a historical perspective is an essential element of our science literature, and that geometrico-historical surveys constitute an important ingredient, alongside purely mathematical and historical articles, for the development of the subject. We have also held, for many years, that we need such articles written by mathematicians, dealing with topics and ideas that they are directly engaged with and consider as fundamental, and it was our endeavour to put together an ensemble of articles of this variety on a broad spectrum of topics that constitute the general area of geometry. It actually turned out to be a nontrivial task to find colleagues capable and willing to write on the history of their field, but perseverance eventually led to this volume coming to fruition. We warmly thank all the authors of this volume for their contribution. We also thank
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