Analytic Function Theory 1


Analytic Function Theory 1
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Analytic Function Theory


Analytic Function Theory
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Author : Einar Hille
language : en
Publisher: American Mathematical Soc.
Release Date : 1973

Analytic Function Theory written by Einar Hille and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1973 with Mathematics categories.


Emphasizes the conceptual and historical continuity of analytic function theory. This book covers canonical topics including elliptic functions, entire and meromorphic functions, as well as conformal mapping. It also features chapters on majorization and on functions holomorphic in a half-plane.



Analytic Function Theory


Analytic Function Theory
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Author : Einar Hille
language : en
Publisher:
Release Date : 1965

Analytic Function Theory written by Einar Hille and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1965 with categories.




Analytic Function Theory 1


Analytic Function Theory 1
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Author : Einar 1894-1979 Hille
language : en
Publisher: Hassell Street Press
Release Date : 2021-09-09

Analytic Function Theory 1 written by Einar 1894-1979 Hille and has been published by Hassell Street Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-09-09 with categories.


This work has been selected by scholars as being culturally important and is part of the knowledge base of civilization as we know it. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. To ensure a quality reading experience, this work has been proofread and republished using a format that seamlessly blends the original graphical elements with text in an easy-to-read typeface. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.



Analytic Function Theory 1


Analytic Function Theory 1
DOWNLOAD

Author : Einar 1894-1979 Hille
language : en
Publisher: Hassell Street Press
Release Date : 2021-09-10

Analytic Function Theory 1 written by Einar 1894-1979 Hille and has been published by Hassell Street Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-09-10 with categories.


This work has been selected by scholars as being culturally important and is part of the knowledge base of civilization as we know it. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. To ensure a quality reading experience, this work has been proofread and republished using a format that seamlessly blends the original graphical elements with text in an easy-to-read typeface. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.



Analytic Function Theory Of Several Variables


Analytic Function Theory Of Several Variables
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Author : Junjiro Noguchi
language : en
Publisher: Springer
Release Date : 2016-08-16

Analytic Function Theory Of Several Variables written by Junjiro Noguchi and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-08-16 with Mathematics categories.


The purpose of this book is to present the classical analytic function theory of several variables as a standard subject in a course of mathematics after learning the elementary materials (sets, general topology, algebra, one complex variable). This includes the essential parts of Grauert–Remmert's two volumes, GL227(236) (Theory of Stein spaces) and GL265 (Coherent analytic sheaves) with a lowering of the level for novice graduate students (here, Grauert's direct image theorem is limited to the case of finite maps).The core of the theory is "Oka's Coherence", found and proved by Kiyoshi Oka. It is indispensable, not only in the study of complex analysis and complex geometry, but also in a large area of modern mathematics. In this book, just after an introductory chapter on holomorphic functions (Chap. 1), we prove Oka's First Coherence Theorem for holomorphic functions in Chap. 2. This defines a unique character of the book compared with other books on this subject, in which the notion of coherence appears much later.The present book, consisting of nine chapters, gives complete treatments of the following items: Coherence of sheaves of holomorphic functions (Chap. 2); Oka–Cartan's Fundamental Theorem (Chap. 4); Coherence of ideal sheaves of complex analytic subsets (Chap. 6); Coherence of the normalization sheaves of complex spaces (Chap. 6); Grauert's Finiteness Theorem (Chaps. 7, 8); Oka's Theorem for Riemann domains (Chap. 8). The theories of sheaf cohomology and domains of holomorphy are also presented (Chaps. 3, 5). Chapter 6 deals with the theory of complex analytic subsets. Chapter 8 is devoted to the applications of formerly obtained results, proving Cartan–Serre's Theorem and Kodaira's Embedding Theorem. In Chap. 9, we discuss the historical development of "Coherence".It is difficult to find a book at this level that treats all of the above subjects in a completely self-contained manner. In the present volume, a number of classical proofs are improved and simplified, so that the contents are easily accessible for beginning graduate students.



Analytic Function Theory


Analytic Function Theory
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Author : Einar Hille
language : en
Publisher:
Release Date : 1962

Analytic Function Theory written by Einar Hille and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1962 with categories.




Elementary Theory Of Analytic Functions Of One Or Several Complex Variables


Elementary Theory Of Analytic Functions Of One Or Several Complex Variables
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Author : Henri Cartan
language : en
Publisher: Courier Corporation
Release Date : 2013-04-22

Elementary Theory Of Analytic Functions Of One Or Several Complex Variables written by Henri Cartan and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-22 with Mathematics categories.


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.



Analytic Function Theory Volume I


Analytic Function Theory Volume I
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Author : Einar Hille
language : en
Publisher: American Mathematical Soc.
Release Date : 2012-04-11

Analytic Function Theory Volume I written by Einar Hille and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-04-11 with Mathematics categories.


Second Edition. This famous work is a textbook that emphasizes the conceptual and historical continuity of analytic function theory. The second volume broadens from a textbook to a textbook-treatise, covering the "canonical" topics (including elliptic functions, entire and meromorphic functions, as well as conformal mapping, etc.) and other topics nearer the expanding frontier of analytic function theory. In the latter category are the chapters on majorization and on functions holomorphic in a half-plane.



Complex Analysis


Complex Analysis
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Author : Lars Valerian Ahlfors
language : en
Publisher:
Release Date : 1966

Complex Analysis written by Lars Valerian Ahlfors and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1966 with Analytic functions categories.




Introduction To The Theory Of Analytic Functions


Introduction To The Theory Of Analytic Functions
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Author : James Harkness
language : en
Publisher:
Release Date : 1898

Introduction To The Theory Of Analytic Functions written by James Harkness and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1898 with Analytic functions categories.