From Holomorphic Functions to Complex Manifolds
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From Holomorphic Functions to Complex Manifolds

From Holomorphic Functions to Complex Manifolds


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About the Book

This introduction to the theory of complex manifolds covers the most important branches and methods in complex analysis of several variables while completely avoiding abstract concepts involving sheaves, coherence, and higher-dimensional cohomology. Only elementary methods such as power series, holomorphic vector bundles, and one-dimensional cocycles are used. Each chapter contains a variety of examples and exercises.

Review :
From the reviews: MATHEMATICAL REVIEWS "This new book is a valuable addition to the literature." K. Fritzsche and H. Grauert From Holomorphic Functions to Complex Manifolds "A valuable addition to the literature." MATHEMATICAL REVIEW "The book is a nice introduction to the theory of complex manifolds. The authors intention is to introduce the reader in a simple way to the most important branches and methods in the theory of several complex variables. The book is written in a very readable way; it is a nice introduction into the topic." (EMS, March 2004) "About 25 years ago, the same couple of authors published the forerunner of this work with the title Several Complex Variables . The experience of forty years of active teaching besides the well-known research career resulted in an admirably well readable simple clean and polished style. I find this book of extraordinary importance and I recommend it to all students, teachers and researchers in mathematics and even in physics as well." (Laszlo L. Stacho, Acta Scientarum Mathematicarum, Vol. 69, 2003) "This book gives an easily understandable introduction to the theory of complex manifolds. It is self-contained and leads to deep results such as the Remmert-Stein theorem for analytic sets, finiteness theorems for spaces of cross sections in holomorphic vector bundles, and the solution if the Levi problem, using only elementary methods such as power series, holomorphic vector bundles, and one-dimensional cocycles." (F. Haslinger, Monatshefte fur Mathematik, Vol. 142 (3), 2004) "The book is an essentially extended and modified version of the classical monograph 'Several complex variables' by the same authors. The monograph is strongly recommended to everybody interested in modern complex analysis, both for students and researchers." (Marek Jarnicki, Zentralblatt MATH, Vol. 1005, 2003) "The authors state that this book grew out of their earlier graduate textbook [Several complex variables, Translated from the German, Spri


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Product Details
  • ISBN-13: 9781468492743
  • Publisher: Springer My Copy UK
  • Publisher Imprint: Springer My Copy UK
  • Height: 234 mm
  • Weight: 581 gr
  • ISBN-10: 1468492748
  • Publisher Date: 12 Apr 2002
  • Binding: Paperback
  • Spine Width: 22 mm
  • Width: 156 mm


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