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BOLYAI SOCIETY MATHEMATICAL STUDIES Series Editor: Gabor Fejes T6th

Publication Board: Laszlo Babai Istvan Juhasz Gyula O. H. Katona

Laszlo Lovasz Domokos Szasz Vilmos Totik

ManagingEditor: Dezso Miklos

1. Combinatorics, Paul Erdos is Eighty. Vol. 1 D. Miklos, V.T. S6s, T. Szdnyi (Eds.) 2. Combinatorics, Paul Erdos is Eighty. Vol. 2 D. Miklos,V.T. S6s, T. Szonyi (Eds.) 3. Extremal Problems for Finite Sets P.Frankl, Z. Fiiredi, G. Katona, D. Miklos (Eds .) 4. Topology with Applications A. Csaszar (Ed.)

5. Approximation Theory and Function Series P.Vertesi, L. Leindler, Sz,Revesz, J. Szabados, V.Totik (Eds.) 6. Intuitive Geometry I. Barany, K. Boroczky (Eds.) 7. Graph Theory and Combinatorial Biology L. Lovasz, A. Gyarfas,G. Katona, A. Recski (Eds.) 8. Low Dimensional Topology K.Boroczky, Jr., W. Neumann,A. Stipsicz (Eds .) 9. Random Walks P. Revesz, B. T6th (Eds.) 10. Contemporary Combinatorics B. Bollobas (Ed.)

n. Paul Erdos and His Mathematics I+II G. Halasz, L. Lovasz, M. Simonovits, V. T. S6s (Eds.) 12. Higher Dimensional Varieties and Rational Points K. Boroczky, Jr., J. Kollar, T. Szamuely (Eds.) 13. Surgery on Contact 3-Manifolds and Stein Surfaces B. Ozbagci, A. I. Stipsicz 14. A Panorama of Hungarian Mathematics in the Twentieth Century. I J. Horvath (Ed.)

Janos Horvath (Ed.)

APanorama of Hungarian Mathematics in the Twentieth Century I

~ Springer

JANOS BOLYAI MATHEMATICAL SOCIETY

Janos Horvath Department of Mathematics University of Maryland College Park, MD 20742-4015 United States of America e-mail: [email protected]

Associate Editor: Laszlo Marki Editorial Assistant: Gabor Sagi

Mathematics Subject Classifictaion (2000) : olAxx, 26xx, 28xx,30XX, 34XX, 35XX, 40XX,41XX, 42XX, 43XX, 46xx, 47XX, 51XX, 52xx,53XX,54xx,60xx, 62XX, 65xx, 91XX

Library of Congress Control Number: 2005931967

ISSN 1217-4696 ISBN 3-540-28945-3 Springer Berlin Heidelberg New York ISBN 963 9453 04 8 Janos Bolyai Mathematical Society, Budapest This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reu se of illustrat ions , recitation , broadcasting, reproduction on microfilm or in any other way, and storage in data banks. Duplication of this publication or parts thereof is permitted only under the provisions of the German Copyright Law of September 9, 1965, in its current version , and permission for use must always be obtained from Springer. Violations are liable for prosecution under the German Copyright Law. Springer is a part of Springer Science+Business Media springeronline.com © 2006 Janos Bolyai Mathematical Society and Springer-Verlag

Printed in Hungary The use of general descriptive names, registered names, trademarks, 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. Cover design : Erich Kirchner, Heidelberg Printed on acid-free paper

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