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Introduction To The Theory Of Analytic Functions

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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.

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.

Complex Analysis

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Author : Lars Ahlfors
language : en
Publisher:
Release Date : 1979

Complex Analysis written by Lars Ahlfors and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1979 with Education categories.

A standard source of information of functions of one complex variable, this text has retained its wide popularity in this field by being consistently rigorous without becoming needlessly concerned with advanced or overspecialized material. Difficult points have been clarified, the book has been reviewed for accuracy, and notations and terminology have been modernized. Chapter 2, Complex Functions, features a brief section on the change of length and area under conformal mapping, and much of Chapter 8, Global-Analytic Functions, has been rewritten in order to introduce readers to the terminology of germs and sheaves while still emphasizing that classical concepts are the backbone of the theory. Chapter 4, Complex Integration, now includes a new and simpler proof of the general form of Cauchy's theorem. There is a short section on the Riemann zeta function, showing the use of residues in a more exciting situation than in the computation of definite integrals.

Introduction To The Theory Of Analytic Spaces

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Author : Raghavan Narasimhan
language : en
Publisher: Springer
Release Date : 2006-11-14

Introduction To The Theory Of Analytic Spaces written by Raghavan Narasimhan and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.

Introduction To The Theory Of Analytic Functions

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Author : James Harkness
language : en
Publisher:
Release Date : 1989

An Introduction To Complex Function Theory

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Author : Bruce P. Palka
language : en
Publisher: Springer Science & Business Media
Release Date : 1991

An Introduction To Complex Function Theory written by Bruce P. Palka 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 1991 with Mathematics categories.

This book provides a rigorous yet elementary introduction to the theory of analytic functions of a single complex variable. While presupposing in its readership a degree of mathematical maturity, it insists on no formal prerequisites beyond a sound knowledge of calculus. Starting from basic definitions, the text slowly and carefully develops the ideas of complex analysis to the point where such landmarks of the subject as Cauchy's theorem, the Riemann mapping theorem, and the theorem of Mittag-Leffler can be treated without sidestepping any issues of rigor. The emphasis throughout is a geometric one, most pronounced in the extensive chapter dealing with conformal mapping, which amounts essentially to a "short course" in that important area of complex function theory. Each chapter concludes with a wide selection of exercises, ranging from straightforward computations to problems of a more conceptual and thought-provoking nature.

Introduction To The Theory Of Analytic Functions

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Author : James Harkness
language : en
Publisher:
Release Date : 1898

Analytic Functions Of Several Complex Variables

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Author : Robert Clifford Gunning
language : en
Publisher: American Mathematical Soc.
Release Date : 2009

Analytic Functions Of Several Complex Variables written by Robert Clifford Gunning 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 2009 with Mathematics categories.

The theory of analytic functions of several complex variables enjoyed a period of remarkable development in the middle part of the twentieth century. This title intends to provide an extensive introduction to the Oka-Cartan theory and some of its applications, and to the general theory of analytic spaces.

Introduction To Analytic Number Theory

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Author : Tom M. Apostol
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29

Introduction To Analytic Number Theory written by Tom M. Apostol 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 2013-06-29 with Mathematics categories.

"This book is the first volume of a two-volume textbook for undergraduates and is indeed the crystallization of a course offered by the author at the California Institute of Technology to undergraduates without any previous knowledge of number theory. For this reason, the book starts with the most elementary properties of the natural integers. Nevertheless, the text succeeds in presenting an enormous amount of material in little more than 300 pages."-—MATHEMATICAL REVIEWS

Analytic Functions

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Author : M.A. Evgrafov
language : en
Publisher: Courier Dover Publications
Release Date : 2019-09-18

Analytic Functions written by M.A. Evgrafov and has been published by Courier Dover Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-09-18 with Mathematics categories.

This highly regarded text is directed toward advanced undergraduates and graduate students in mathematics who are interested in developing a firm foundation in the theory of functions of a complex variable. The treatment departs from traditional presentations in its early development of a rigorous discussion of the theory of multiple-valued analytic functions on the basis of analytic continuation. Thus it offers an early introduction of Riemann surfaces, conformal mapping, and the applications of residue theory. M. A. Evgrafov focuses on aspects of the theory that relate to modern research and assumes an acquaintance with the basics of mathematical analysis derived from a year of advanced calculus. Starting with an introductory chapter containing the fundamental results concerning limits, continuity, and integrals, the book addresses analytic functions and their properties, multiple-valued analytic functions, singular points and expansion in series, the Laplace transform, harmonic and subharmonic functions, extremal problems and distribution of values, and other subjects. Chapters are largely self-contained, making this volume equally suitable for the classroom or independent study.

Introduction To The Theory Of Analytic Functions

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