Introduction To The Theory Of Analytic Functions Of Several Complex Variables PDF Download
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Author | : Robert C. Gunning |
Publisher | : American Mathematical Society |
Total Pages | : 334 |
Release | : 2022-08-25 |
Genre | : Mathematics |
ISBN | : 1470470667 |
Download Analytic Functions of Several Complex Variables Book in PDF, ePub and Kindle
The theory of analytic functions of several complex variables enjoyed a period of remarkable development in the middle part of the twentieth century. After initial successes by Poincaré and others in the late 19th and early 20th centuries, the theory encountered obstacles that prevented it from growing quickly into an analogue of the theory for functions of one complex variable. Beginning in the 1930s, initially through the work of Oka, then H. Cartan, and continuing with the work of Grauert, Remmert, and others, new tools were introduced into the theory of several complex variables that resolved many of the open problems and fundamentally changed the landscape of the subject. These tools included a central role for sheaf theory and increased uses of topology and algebra. The book by Gunning and Rossi was the first of the modern era of the theory of several complex variables, which is distinguished by the use of these methods. The intention of Gunning and Rossi's book is to provide an extensive introduction to the Oka-Cartan theory and some of its applications, and to the general theory of analytic spaces. Fundamental concepts and techniques are discussed as early as possible. The first chapter covers material suitable for a one-semester graduate course, presenting many of the central problems and techniques, often in special cases. The later chapters give more detailed expositions of sheaf theory for analytic functions and the theory of complex analytic spaces. Since its original publication, this book has become a classic resource for the modern approach to functions of several complex variables and the theory of analytic spaces. Further information about this book, including updates, can be found at the following URL: www.ams.org/publications/authors/books/postpub/chel-368.
Author | : Henri Cartan |
Publisher | : Courier Corporation |
Total Pages | : 242 |
Release | : 2013-04-22 |
Genre | : Mathematics |
ISBN | : 0486318672 |
Download Elementary Theory of Analytic Functions of One or Several Complex Variables Book in PDF, ePub and Kindle
Basic treatment includes existence theorem for solutions of differential systems where data is analytic, holomorphic functions, Cauchy's integral, Taylor and Laurent expansions, more. Exercises. 1973 edition.
Author | : Boris A. Fuks |
Publisher | : |
Total Pages | : 388 |
Release | : 1975 |
Genre | : |
ISBN | : |
Download Introduction to the theory of analytic functions of several complex variables Book in PDF, ePub and Kindle
Author | : B. A. Fuks |
Publisher | : American Mathematical Soc. |
Total Pages | : 366 |
Release | : 1965-12-31 |
Genre | : Mathematics |
ISBN | : 0821815644 |
Download Special Chapters in the Theory of Analytic Functions of Several Complex Variables Book in PDF, ePub and Kindle
Author | : Boris Abramovich Fuks |
Publisher | : |
Total Pages | : |
Release | : 1963 |
Genre | : Functions of complex variables |
ISBN | : |
Download Introduction to the Theory of Analytic Functions of Several Complex Variables Book in PDF, ePub and Kindle
Author | : Boris Abramovich Fuks |
Publisher | : American Mathematical Soc. |
Total Pages | : 402 |
Release | : 1963 |
Genre | : Mathematics |
ISBN | : 9780821886441 |
Download Theory of Analytic Functions of Several Complex Variables Book in PDF, ePub and Kindle
Author | : B.A. Fuks |
Publisher | : |
Total Pages | : |
Release | : 1956 |
Genre | : |
ISBN | : |
Download Special Chapters in the Theory of Analytic Functions of Several Complex Variables Book in PDF, ePub and Kindle
Author | : Steven George Krantz |
Publisher | : American Mathematical Soc. |
Total Pages | : 586 |
Release | : 2001 |
Genre | : Functions of several complex variables |
ISBN | : 0821827243 |
Download Function Theory of Several Complex Variables Book in PDF, ePub and Kindle
Emphasizing integral formulas, the geometric theory of pseudoconvexity, estimates, partial differential equations, approximation theory, inner functions, invariant metrics, and mapping theory, this title is intended for the student with a background in real and complex variable theory, harmonic analysis, and differential equations.
Author | : Volker Scheidemann |
Publisher | : Springer Nature |
Total Pages | : 239 |
Release | : 2023 |
Genre | : Functions of complex variables |
ISBN | : 3031264282 |
Download Introduction to Complex Analysis in Several Variables Book in PDF, ePub and Kindle
This book gives a comprehensive introduction to complex analysis in several variables. While it focusses on a number of topics in complex analysis rather than trying to cover as much material as possible, references to other parts of mathematics such as functional analysis or algebras are made to help broaden the view and the understanding of the chosen topics. A major focus are extension phenomena alien to the one-dimensional theory, which are expressed in the famous Hartog's Kugelsatz, the theorem of Cartan-Thullen, and Bochner's theorem. The book aims primarily at students starting to work in the field of complex analysis in several variables and instructors preparing a course. To that end, a lot of examples and supporting exercises are provided throughout the text. This second edition includes hints and suggestions for the solution of the provided exercises, with various degrees of support.
Author | : B. A. Fuchs |
Publisher | : |
Total Pages | : 0 |
Release | : 1965 |
Genre | : Functions of complex variables |
ISBN | : |
Download Special Chapters in the Theory of Analytic Functions of Several Complex Variables Book in PDF, ePub and Kindle