Real Algebraic Geometry
This book is concerned with one of the most fundamental questions of mathematics: the relationship between algebraic formulas and geometric images.At one of the first international mathematical congresses (in Paris in 1900), Hilbert stated a special case
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Real Algebraic Geometry
Real Algebraic Geometry
UNITEXT – La Matematica per il 3+2 Volume 66
For further volumes: http://www.springer.com/series/5418
Vladimir I. Arnold
Real Algebraic Geometry Translated by Gerald G. Gould and David Kramer
Vladimir I. Arnold Steklov Mathematical Institute Russian Academy of Sciences Moscow Russia Editors Ilia Itenberg Université Pierre et Marie Curie and Institut universitaire de France Institut de Mathématiques de Jussieu Paris France
Viatcheslav Kharlamov CNRS - IRMA University of Strasbourg Strasbourg France
Translators Gerald G. Gould Cardiff University School of Mathematics Cardiff United Kingdom
David Kramer Plainfleld, MA USA
Eugenii I. Shustin Fac. Exact Sciences, School of Mathematical Sciences University of Tel Aviv Tel Aviv Israel
Originally published as “Veshchestvennaya algebraicheskaya geometriya,” MCCME (c) 2009 ISSN 2038-5722 ISSN 2038-5757 (electronic) ISBN 978-3-642-36242-2 ISBN 978-3-642-36243-9 (eBook) DOI 10.1007/978-3-642-36243-9 Springer Heidelberg New York Dordrecht London Library of Congress Control Number: 2013933709 © Springer-Verlag Berlin Heidelberg 2013 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. Exempted from this legal reservation are brief excerpts in connection with reviews or scholarly analysis or material supplied specifically for the purpose of being entered and executed on a computer system, for exclusive use by the purchaser of the work. Duplication of this publication or parts thereof is permitted only under the provisions of the Copyright Law of the Publisher’s location, in its current version, and permission for use must always be obtained from Springer. Permissions for use may be obtained through RightsLink at the Copyright Clearance Center. Violations are liable to prosecution under the respective Copyright Law. 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. While the advice and information in this book are believed to be true and accurate at the date of publication, neither the authors nor the editors nor the publisher can accept any legal responsibility for any errors or omissions that may be made. The publisher makes no warranty, express or implied, with respect to the material contained herein. Cover design:
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Publisher’s Foreword
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