Last edited by Dogami
Monday, August 3, 2020 | History

1 edition of Theory of functions of a complex variable found in the catalog.

Theory of functions of a complex variable

by Constantin CarathГ©odory

  • 218 Want to read
  • 25 Currently reading

Published by AMS Chelsea Pub. in Rhode Island .
Written in English

    Subjects:
  • Functions of complex variables

  • Edition Notes

    Statementby C. Carathéodory ; translated by F. Steinhardt
    The Physical Object
    Pagination2 v.
    ID Numbers
    Open LibraryOL27091737M
    ISBN 100821828312
    ISBN 109780821828311
    OCLC/WorldCa53149626

    This book is based on a series of lectures on “The Constructive Theory of Functions of a Complex Variable,” given at the Leningrad University by Professor V. I. Smirnov and later by Dr. N. A. Lebedev. Professor Smirnov is a full member of the U.S.S.R. Academy of sciences and author of numerous books and papers on advanced mathematics. Summary. Functions of a Complex Variable provides all the material for a course on the theory of functions of a complex variable at the senior undergraduate and beginning graduate level. Also suitable for self-study, the book covers every topic essential to training students in complex analysis.

    Jun 02,  · In this post we will see the book Lectures on the Theory of Functions of a Complex Variable by Yu. V. Sidorov, M. V. Fedoryuk, M. I. Shabunin.. About the book. This book is based on more than ten years experience in teaching the theory of functions of a complex variable at the Moscow Physics and Technology Institute. 1. Convergent sequences of numbers and continuous complex functions Curves and regions Contour integration --pt. III. Analytic functions. 1. Foundations of the theory The maximum-modulus principle The Poisson integral and harmonic functions Meromorphic functions --pt. IV. Analytic functions defined by limiting processes. 1.

    These are the notes for a one-semester introductory course in the theory of functions of a complex variable. The aim of the notes is to help students of mathematics and related sciences acquire a basic understanding of the subject, as a preparation for pursuing it at a . Dec 03,  · Theory of Functions of a Complex Variable. vol. 1.A. I. Markushevich. Translated from the Russian by Richard A. Silverman. Prentice-Hall, Englewood Cliffs, N. J Author: W. C. Royster.


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Theory of functions of a complex variable by Constantin CarathГ©odory Download PDF EPUB FB2

I also bought the amazing pair of books Theory of Functions of a Complex Variable, by A. Markushevich, and yeah, those really are wonderful books for anyone studying complex analysis at any level, but they are also pretty expensive (although totally worth it if you like variety).

Flanigan's book is actually more readable than even Cited by: The Taylor series;: An introduction to the theory of functions of a complex variable by Dienes, Paul and a great selection of related books, art and collectibles available now at veterans-opex.com Jun 02,  · The book covers basic aspects of complex numbers, complex variables and complex functions.

It also deals with analytic functions, Laurent series etc. Contents. Introduction 9 Chapter 1. THE COMPLEX VARIABLE AND FUNCTIONS OF A COMPLEX VARIABLE Complex Numbers and Operations on Complex Numbers 11 a.

The concept of a complex number 11 b. Functions of a complex variable are used to solve applications in various branches of mathematics, science, and engineering. Functions of a Complex Variable: Theory and Technique is a book in a special category of influential classics because it is based on the authors' extensive experience in modeling complicated situations and providing analytic veterans-opex.com by: Complex analysis, traditionally known as the theory of functions of a complex variable, is the branch of mathematical analysis that investigates functions of complex veterans-opex.com is useful in many branches of mathematics, including algebraic geometry, number theory, analytic combinatorics, applied mathematics; as well as in physics, including the branches of hydrodynamics, thermodynamics, and.

Functions of a complex variable are used to solve applications in various branches of mathematics, science, and engineering. Functions of a Complex Variable: Theory and Technique is a book in a special category of influential classics because it is based on the authors' extensive experience in modeling complicated situations and providing analytic solutions.

Geometric Theory Functions Complex Variable. You Searched For: The purpose of this book is studying some recent topics connected with the geometry of analytic functions theory. It is the research of geometric properties of certain subclasses of univalent and multivalent functions.

We obtained some properties like coefficient estimates. Complex Analysis has successfully maintained its place as the standard elementary text on functions of one complex variable.

There is, never­ theless, need for a new edition, partly because of changes in current mathe­ matical terminology, partly because of differences in student preparedness and aims.

Functions of a complex variable. This book is designed for students who, having acquired a good working knowledge of the calculus, desire to become acquainted with the theory of functions of a complex variable, and with the principal applications of that veterans-opex.comus examples have been given throughout the book, and there is also a set of Miscellaneous Examples, arranged to correspond with.

Complex functions books Study the theory and analysis of complex functions by downloading the free textbooks in our category. Our authors have contributed textbooks for all levels. This book is intended as a textbook for a first course in the theory of functions of one complex variable for students who are mathematically mature enough to understand and execute E - 8 arguments.

The actual pre requisites for reading this book are quite minimal; not much more than a stiff course in basic calculus and a few facts about partial derivatives/5(4). Nov 02,  · Frank E. Harris, in Mathematics for Physical Science and Engineering, Abstract.

This chapter surveys complex variable veterans-opex.comic functions are defined; it is shown that they satisfy the Cauchy-Riemann equations. Branch point singularities and branch cuts are defined; their effect on values of a multiple-valued function is analyzed.

Functions of a Complex Variable Complex Algebra Formally, the set of complex numbers can be deflned as the set of two-dimensional real vectors, f(x;y)g, with one extra operation, complex multi- plication. Be the first to ask a question about Theory of Functions of a Complex Variable Lists with This Book.

This book is not yet featured on Listopia. Add this book to your favorite list»/5(20). Functions of a Complex Variable Lecture Notes. This note covers the following topics: basic theorems of complex analysis, infinite series, winding numbers of closed paths in the complex plane, path integrals in the complex plane, Holomorphic functions, Cauchys theorem, basic properties of Holomorphic functions, applications of Cauchy's residue theorem, Elliptic functions.

Chelsea Publishing Company, - Analytic functions - pages. 0 Reviews. This text examines the theory of functions of a complex variable. References to this book. Complex Analysis Joseph Bak, Donald J. Newman Limited preview - Handbook of Conformal Mapping with Computer-Aided Visualization Theory of Functions of a Complex.

Complex Analysis book. Read 8 reviews from the world's largest community for readers. Start by marking “Complex Analysis: An Introduction to The Theory of Analytic Functions of One Complex Variable (International Series in Pure & Applied Mathematics)” as Want to Read: An Introduction to The Theory of Analytic Functions of One 4/5.

Note: Citations are based on reference standards. However, formatting rules can vary widely between applications and fields of interest or study.

The specific requirements or preferences of your reviewing publisher, classroom teacher, institution or organization should be applied. iv Complexification of the Integrand 62 An Example with a More Subtle Choice of Contour.

63 Making the Spurious Part of. 5 + $ " 6 7 " 7 $ 8 # *. + $ +# $ ' - 9:; " 9:; Ch: 1 2 3 4 5 6 7 5 () TOC Index - ') - & # ' (' # ' & % '. The theory of functions of several complex variables is the branch of mathematics dealing with complex valued functions (, ,)on the space C n of n-tuples of complex numbers.

As in complex analysis, which is the case n = 1 but of a distinct character, these are not just any functions: they are supposed to be holomorphic or complex analytic, so that locally speaking they are power series in.Dec 20,  · Complex Function Theory is a concise and rigorous introduction to the theory of functions of a complex variable.

Written in a classical style, it is in the spirit of the books by Ahlfors and by Saks and Zygmund. Being designed for a one-semester course, it .Dec 31,  · The second Russian edition upon which this English translation is based differs from the first mainly in the expansion of two chapters and in the addition of a long survey of more recent developments.

The book is intended for readers who are already familiar with the basics of the theory of functions of one complex variable.