Theory Of Functions Parts I And Ii

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Theory Of Functions Parts I And Ii

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Author : Konrad Knopp
language : en
Publisher: Courier Corporation
Release Date : 2013-07-24

Theory Of Functions Parts I And Ii written by Konrad Knopp and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-07-24 with Mathematics categories.

Handy one-volume edition. Part I considers general foundations of theory of functions; Part II stresses special and characteristic functions. Proofs given in detail. Introduction. Bibliographies.

Theory Of Functions Part 2

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Author : K. Knopp
language : en
Publisher:
Release Date : 1947

Theory Of Functions Part 2 written by K. Knopp and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1947 with categories.

Theory Of Functions

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Author : Konrad Knopp
language : en
Publisher:
Release Date : 1947

Theory Of Functions written by Konrad Knopp and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1947 with categories.

Theory Of Functions

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Author : Konrad Knopp
language : en
Publisher: Dover Publications
Release Date : 1981-06

Theory Of Functions written by Konrad Knopp and has been published by Dover Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 1981-06 with Mathematics categories.

Handy 1-volume edition. Part I considers general foundations of theory of functions; Part II stresses special and characteristic functions. Proofs given in detail. Introduction. Bibliographies.

The Theory Of Functions

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Author : Konrad Knopp
language : en
Publisher:
Release Date : 1945

The Theory Of Functions written by Konrad Knopp and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1945 with categories.

The Theory Of Functions Of A Real Variable Second Edition

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Author : Ralph Jeffery
language : en
Publisher:
Release Date : 2019

The Theory Of Functions Of A Real Variable Second Edition written by Ralph Jeffery and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019 with Functions of real variables categories.

This textbook leads the reader by easy stages through the essential parts of the theory of sets and theory of measure to the properties of the Lebesgue integral. The first part of the book gives a general introduction to functions of a real variable, measure, and integration, while the second part treats the problem of inverting the derivative of continuous functions, leading to the Denjoy integrals, and studies the derivates and approximate derivates of functions of a real variable on arbitrary linear sets. The author considers the presentation of this second part as the main purpose of his book.

Function Theory On Planar Domains

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Author : Stephen D. Fisher
language : en
Publisher: Courier Corporation
Release Date : 2007-02-27

Function Theory On Planar Domains written by Stephen D. Fisher and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-02-27 with Mathematics categories.

A high-level treatment of complex analysis, this text focuses on function theory on a finitely connected planar domain. Clear and complete, it emphasizes domains bounded by a finite number of disjoint analytic simple closed curves. The first chapter and parts of Chapters 2 and 3 offer background material, all of it classical and important in its own right. The remainder of the text presents results in complex analysis from the far, middle, and recent past, all selected for their interest and merit as substantive mathematics. Suitable for upper-level undergraduates and graduate students, this text is accessible to anyone with a background in complex and functional analysis. Author Stephen D. Fisher, a professor of mathematics at Northwestern University, elaborates upon and extends results with a set of exercises at the end of each chapter.

Problem Book In The Theory Of Functions Problems In The Elementary Theory Of Functions Translated By L Bers

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Author : Konrad Knopp
language : en
Publisher:
Release Date : 1948

Problem Book In The Theory Of Functions Problems In The Elementary Theory Of Functions Translated By L Bers written by Konrad Knopp and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1948 with Functions categories.

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.

Function Theory In The Unit Ball Of Cn

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Author : W. Rudin
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Function Theory In The Unit Ball Of Cn written by W. Rudin and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.

Around 1970, an abrupt change occurred in the study of holomorphic functions of several complex variables. Sheaves vanished into the back ground, and attention was focused on integral formulas and on the "hard analysis" problems that could be attacked with them: boundary behavior, complex-tangential phenomena, solutions of the J-problem with control over growth and smoothness, quantitative theorems about zero-varieties, and so on. The present book describes some of these developments in the simple setting of the unit ball of en. There are several reasons for choosing the ball for our principal stage. The ball is the prototype of two important classes of regions that have been studied in depth, namely the strictly pseudoconvex domains and the bounded symmetric ones. The presence of the second structure (i.e., the existence of a transitive group of automorphisms) makes it possible to develop the basic machinery with a minimum of fuss and bother. The principal ideas can be presented quite concretely and explicitly in the ball, and one can quickly arrive at specific theorems of obvious interest. Once one has seen these in this simple context, it should be much easier to learn the more complicated machinery (developed largely by Henkin and his co-workers) that extends them to arbitrary strictly pseudoconvex domains. In some parts of the book (for instance, in Chapters 14-16) it would, however, have been unnatural to confine our attention exclusively to the ball, and no significant simplifications would have resulted from such a restriction.