The Legacy of Niels Henrik Abel The Abel Bicentennial, Oslo, 2002

Abel's influence on modern mathematics is substantial. This is seen in many ways, but maybe clearest in the number of mathematical terms containing the adjective Abelian. In algebra, algebraic and complex geometry, analysis, the theory of differential and

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Springer-Verlag Berlin Heidelberg GmbH

Olav Arnfinn Laudal • Ragni Piene (Editors)

The Legacy of Niels Henrik Abel The Abel Bicentennial, Oslo, 2002

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Editors:

Olav Arnfinn Laudal Ragni Piene University of Oslo Department of Mathematics 0316 Oslo, Norway e-mail: [email protected] URL: http://folk.uio.no/arnfinnl! http://folk. uio.no/ragnip/

Cataloging-in-Publication Data applied for A catalog record for this book is available from tbe Library of Congress. Bibliographic information published by Die Deutsche Bibliotbek Die Deutsche Bibliotbek lists this publication in tbe Deutsche N ationalbibliografie; detailed bibliographic data is available in tbe Internet athttp://dnb.ddb.de

Mathematics SubjectClassification (2000): OI-XX, lI-XX, 14-XX, 16-XX,32-XX, 34-XX, 37-XX, SI-XX

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Contents

The Legacy of Niels Henrik Abel . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

1

King Harald V Opening address The Abel Bicentennial Conference University of Oslo, June 3, 2002 . . . . .

5

Arild Stubhaug The Life of Niels Henrik Abel . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

7

Christian Houzel The Wor