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Wednesday, July 15, 2020 | History

5 edition of Introduction to the theory of complex functions found in the catalog.

Introduction to the theory of complex functions

by Jian-Ke Lu

  • 218 Want to read
  • 9 Currently reading

Published by World Scientific in River Edge, N.J .
Written in English

    Subjects:
  • Functions of complex variables.

  • Edition Notes

    Includes bibliographical references (p. [295]) and index.

    StatementJian-Ke Lu, Shou-Guo Zhong, Shi-Qiang Liu.
    SeriesSeries in pure mathematics ;, v. 25
    ContributionsZhong, Shou-Guo., Liu, Shi-Qiang.
    Classifications
    LC ClassificationsQA331.7 .L8 2002
    The Physical Object
    Paginationxii, 300 p. :
    Number of Pages300
    ID Numbers
    Open LibraryOL3702181M
    ISBN 109812380477
    LC Control Number2003268755
    OCLC/WorldCa51625882

      This book is based on the teaching experience of the authors, and therefore some of the topics are presented in a new form. For instance, the multi-valued properties of the argument function are discussed in detail so that the beginner may readily grasp the elementary multi-valued analytic functions. Theory of Complex Functions "Its accessibility makes it very useful for a first graduate course on complex function theory, especially where there is an opportunity for developing an interest on the part of motivated students in the history of the subject. Historical remarks abound throughout the text.

      This book is rather unorthodox in a number of respects, but it has become one of my favourite texts in complex analysis. The authors claim that their motivation for their presentation of the subject is to emphasize the interconnectedness of complex function theory with multivariable calculus, and de-emphasize the connection with s: 8. Buy Complex Analysis: An Introduction to the Theory of Analytic Functions of One Complex Variable (International Series in Pure & Applied Mathematics) 3 by Ahlfors, Lars (ISBN: ) from Amazon's Book Store. Everyday low prices and free delivery on eligible s:

    Introduction. I have taught the beginning graduate course in real variables and functional analysis three times in the last five years, and this book is the result. The course assumes that the student has seen the basics of real variable theory and point set topology. The elements of the topology of .   This introduction to the theory of functions of a complex variable has been written in a classical style, and is in the spirit of the books by Ahlfors and by Saks and Zygmund. Sarason covers the basic material through Cauchy's theorem and applications, plus the Riemann mapping theorem/5(5).


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Introduction to the theory of complex functions by Jian-Ke Lu Download PDF EPUB FB2

Complex Analysis: An Introduction to The Theory of Analytic Functions of One Complex Variable (International Series in Pure & Applied Mathematics) by Ahlfors (1-Dec) Hardcover on *FREE* shipping on qualifying offers. Complex Analysis: An Introduction to The Theory of Analytic Functions of One Complex Variable (International Series in Pure & Applied Mathematics) /5(31).

An introduction to the theory of functions of a complex variable, Hardcover – January 1, by E. T Copson (Author) out of 5 stars 2 ratings. See all 13 formats and editions Hide other formats and editions. Price New from Used from 5/5(2).

An Invitation: a Concise Introduction to Complex Function Theory. Author: Murali Rao,Henrik Stetk r; Publisher: World Scientific ISBN: Category: Mathematics Page: View: DOWNLOAD NOW» This is a rigorous introduction to the theory of complex functions of one complex variable.

Theory of Complex Functions. Authors (view affiliations) Reinhold Remmert; Textbook. Citations; 1 Mentions; Search within book.

Front Matter. Pages i-xix. PDF. Historical Introduction. Historical Introduction. Reinhold Remmert. Cauchy-Weierstrass-Rieman Function Theory.

Fundamental Theorems about Holomorphic Functions. Reinhold. to students by the time they reach complex function theory. As these notes are a rather bare-bones introduction to a vast subject, the student or instructor who uses them may well wish to supplement them with other references. The notes owe a great deal to the book by L.

Ahlfors Theory. 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. An introduction to the theory of complex variables. Complex Functions Examples c The material from function theory, Introduction to the theory of complex functions book to the residue calculus, is developed in a lively and vivid style, well motivated throughout by examples and practice exercises.

Additionally, there is ample discussion of the historical evolution of the theory, biographical sketches of important contributors, and citations (original language together with English translation) from their classical works.4/5(1).

CHAPTER 2 COMPLEX FUNCTIONS 1 Introduction to the Concept of Analytic Function Limits and Continuity Analytic Functions Polynomials Rational Functions 2 Elementary Theory of Power Series Sequences Series 12 15 17 18 21 21 22 24 28 30 33 33 35 vii.

The theory of complex variables is significant in pure mathematics, and the basis for important applications in applied mathematics (e.g.

fluids). This text provides an introduction to the ideas that are met at university: complex functions, differentiability.

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This is exactly what the people now need so much. Theory of Complex Functions "Its accessibility makes it very useful for a first graduate course on complex function theory, especially where there is an opportunity for developing an interest on the part of motivated students in the history of the subject.

Historical remarks abound throughout the Reviews: 8. The book gives a self-contained introduction to these concepts, so that the reader will be equipped with a toolset that allows them to engage in the science of complex systems.

Topics covered include random processes of path-dependent processes, co-evolutionary dynamics, dynamics of networks, the theory of scaling, and approaches from. Start your review of Complex Analysis: An Introduction to The Theory of Analytic Functions of One Complex Variable (International Series in Pure & Applied Mathematics) Write a review James Swenson rated it really liked it4/5.

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. An Introduction to the Theory of Functions of a Complex Variable, by Copson, E.T.

and a great selection of related books, art and collectibles available now at Even if component functions of a complex function have all the partial derivatives, does not imply that the complex function will be differentiable.

See Example Some rules for obtaining the derivatives of functions are listed here. Let ½ and ¾ be differentiable at ¿. Topology of the Complex Plane Part-II: PDF unavailable: 6: Topology of the Complex Plane Part-III: PDF unavailable: 7: Introduction to Complex Functions: PDF unavailable: 8: Limits and Continuity: PDF unavailable: 9: Differentiation: PDF unavailable: Cauchy-Riemann Equations and Differentiability: PDF unavailable: Analytic functions.

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 is much shorter than many of the standard texts. 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 5/5(1). Complex Analysis; An Introduction to the Theory of Analytic Functions of One Complex Variable; International Series in Pure and Applied Mathematics Hardcover – January 1, by Lars V. Ahlfors (Author) › Visit Amazon's Lars V. Ahlfors Page.

Find all the books, read about the author, and more. Author: Lars V. Ahlfors. This book is a comprehensive introduction to quantitative approaches to complex adaptive systems. Practically all areas of life on this planet are constantly confronted with complex systems, be it ecosystems, societies, traffic, financial markets, opinion formation and spreading, or the internet and social media.Complex analysis, traditionally known as the theory of functions of a complex variable, is the branch of mathematical analysis that investigates functions of complex 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.

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 Price: $