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The Legacy of Niels Henrik Abel

The Abel Bicentennial, Oslo, 2002

  • Olav Arnfinn Laudal
  • Ragni Piene

Table of contents

  1. Front Matter
    Pages I-IX
  2. Olav Arnfinn Laudal, Ragni Piene
    Pages 1-3
  3. Arild Stubhaug
    Pages 7-20
  4. Christian Houzel
    Pages 21-177
  5. Phillip Griffiths
    Pages 179-205
  6. Daniel Lazard
    Pages 207-225
  7. Birgit Petri, Norbert Schappacher
    Pages 227-266
  8. Aldo Brigaglia, Ciro Ciliberto, Claudio Pedrini
    Pages 295-347
  9. Steven L. Kleiman
    Pages 395-440
  10. Torsten Ekedahl
    Pages 441-466
  11. Mark Green, Phillip Griffiths
    Pages 467-509
  12. Herbert Clemens
    Pages 511-530
  13. Tom Graber, Joe Harris, Barry Mazur, Jason Starr, Tom Graber
    Pages 531-542
  14. Yum-Tong Siu
    Pages 543-566
  15. G. M. Henkin
    Pages 567-584
  16. Simon Gindikin
    Pages 585-596
  17. V. P. Palamodov
    Pages 597-604
  18. Jan-Erik Björk
    Pages 605-651
  19. Mikael Passare, August Tsikh
    Pages 653-672
  20. Håkan Hedenmalm
    Pages 673-684
  21. Michel van den Bergh
    Pages 749-770

About this book

Introduction

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 integral equations, and function theory there are terms like Abelian groups, Abelian varieties, Abelian integrals, Abelian functions. A number of theorems are attributed to Abel. The famous Addition Theorem of Abel, proved in his Paris Mémoire, stands out, even today, as a mathematical landmark.

This book, written by some of the foremost specialists in their fields, contains important survey papers on the history of Abel and his work in several fields of mathematics. The purpose of the book is to combine a historical approach to Abel with an overview of his scientific legacy as perceived at the beginning of the 21st century.

Keywords

History of Mathematics algebraic geometry calculus complex analysis differential equation functional analysis non-communtative geometry

Editors and affiliations

  • Olav Arnfinn Laudal
    • 1
  • Ragni Piene
    • 1
  1. 1.Department of MathematicsUniversity of OsloOsloNorway

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-18908-1
  • Copyright Information Springer-Verlag Berlin Heidelberg 2004
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-642-62350-9
  • Online ISBN 978-3-642-18908-1
  • Buy this book on publisher's site