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© 2004

Theory of Stein Spaces

Book

Part of the Classics in Mathematics book series (CLASSICS)

Table of contents

  1. Front Matter
    Pages I-XXI
  2. Hans Grauert, Reinhold Remmert
    Pages 1-27
  3. Hans Grauert, Reinhold Remmert
    Pages 28-44
  4. Hans Grauert, Reinhold Remmert
    Pages 45-55
  5. Hans Grauert, Reinhold Remmert
    Pages 56-82
  6. Hans Grauert, Reinhold Remmert
    Pages 83-99
  7. Hans Grauert, Reinhold Remmert
    Pages 100-124
  8. Hans Grauert, Reinhold Remmert
    Pages 125-185
  9. Hans Grauert, Reinhold Remmert
    Pages 186-203
  10. Hans Grauert, Reinhold Remmert
    Pages 204-239
  11. Back Matter
    Pages 240-255

About this book

Introduction

From the reviews:

"Theory of Stein Spaces provides a rich variety of methods, results, and motivations - a book with masterful mathematical care and judgement. It is a pleasure to have this fundamental material now readily accessible to any serious mathematician."
J. Eells in Bulletin of the London Mathematical Society (1980)

"Written by two mathematicians who played a crucial role in the development of the modern theory of several complex variables, this is an important book."
J.B. Cooper in Internationale Mathematische Nachrichten (1979)

Keywords

Finite Mathematica Riemann surface Sheaf theory boundary element method cohomology cohomology theory development finite holomorphic maps form review sheaves society theorem variable

Authors and affiliations

  1. 1.Mathematisches InstitutUniversität MünsterMünsterGermany

About the authors

Hans Grauert (b. 1930 in Harem /Ems, Germany) and Reinhold Remmert (b. 1930 in Osnabrück, Germany) met at the University of Münster, where they both studied mathematics and physics from 1949 to 1954. In 1950 they were invited by Heinrich Behnke and Karl Stein to attend their "Oberseminar", which was held on Saturdays, for 2 hours from 9 a.m.

Five years after the tragic events of World War 2, Behnke's old friend Henri Cartan visited Münster. His lecture on recent developments in the theory of "Several Complex Variables" was a real eye-opener for the young students and had a strongly formative influence on them: indeed this was to determine the course of their scientific research careers from then on.

In June 1954 Grauert and Remmert received their respective doctorates from the University of Münster. In 1957 they both became lecturer (Privatdozent) there. In 1959 resp. 1960, Grauert and Remmert were appointed full professors at Göttingen resp. Erlangen.

The original German edition of "Theory of Stein Spaces" was written at a time when complex spaces, coherent analytic sheaves and the so-called Theorems A and B had already become established notions and theorems. Dedicated to Karl Stein, the book was published in 1977, and the English edition was to follow in 1979. The first announcement of the book, in Springer's promotion, consisted of the picture reproduced on the inside cover flap of this book, taken during the boat trip of the annual Bonn Arbeitstagung some time earlier, showing three men on a boat, with the minimalistic caption "Grundlehren 227".

Bibliographic information

  • Book Title Theory of Stein Spaces
  • Authors Hans Grauert
    Reinhold Remmert
  • Series Title Classics in Mathematics
  • DOI https://doi.org/10.1007/978-3-642-18921-0
  • Copyright Information Springer-Verlag Berlin Heidelberg 2004
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Softcover ISBN 978-3-540-00373-1
  • eBook ISBN 978-3-642-18921-0
  • Series ISSN 1431-0821
  • Edition Number 1
  • Number of Pages XXII, 254
  • Number of Illustrations 5 b/w illustrations, 0 illustrations in colour
  • Additional Information Originally published as Vol. 236 in the series: Grundlehren der mathematischen Wissenschaften
  • Topics Functions of a Complex Variable
    Several Complex Variables and Analytic Spaces
    Algebraic Geometry
  • Buy this book on publisher's site

Reviews


"Theory of Stein Spaces provides a rich variety of methods, results, and motivations - a book with masterful mathematical care and judgement. It is a pleasure to have this fundamental material now readily accessible to any serious mathematician."
J. Eells in Bulletin of the London Mathematical Society (1980)

"Written by two mathematicians who played a crucial role in the development of the modern theory of several complex variables, this is an important book."
J.B. Cooper in Internationale Mathematische Nachrichten (1979)