Classics in Mathematics

Theory of Stein Spaces

Authors: Grauert, Hans, Remmert, Reinhold

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About this book

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)

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".

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)


Table of contents (9 chapters)

  • Sheaf Theory

    Grauert, Hans (et al.)

    Pages 1-27

  • Cohomology Theory

    Grauert, Hans (et al.)

    Pages 28-44

  • Coherence Theory for Finite Holomorphic Maps

    Grauert, Hans (et al.)

    Pages 45-55

  • Differential Forms and Dolbeault Theory

    Grauert, Hans (et al.)

    Pages 56-82

  • Theorems A and B for Compact Blocks in ℂ m

    Grauert, Hans (et al.)

    Pages 83-99

Buy this book

eBook $54.99
price for USA (gross)
  • ISBN 978-3-642-18921-0
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $69.99
price for USA
  • ISBN 978-3-540-00373-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Theory of Stein Spaces
Authors
Translated by
Huckleberry, A.
Series Title
Classics in Mathematics
Copyright
2004
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-642-18921-0
DOI
10.1007/978-3-642-18921-0
Softcover ISBN
978-3-540-00373-1
Series ISSN
1431-0821
Edition Number
1
Number of Pages
XXII, 254
Number of Illustrations and Tables
5 b/w illustrations
Additional Information
Originally published as Vol. 236 in the series: Grundlehren der mathematischen Wissenschaften
Topics