Last edited by Tygolmaran

Monday, July 20, 2020 | History

4 edition of **Introduction to the functions of a complex variable** found in the catalog.

Introduction to the functions of a complex variable

John Hamilton Curtiss

- 136 Want to read
- 12 Currently reading

Published
**1978**
by M. Dekker in New York
.

Written in English

- Functions of complex variables.

**Edition Notes**

Includes bibliographical references and index.

Statement | J. H. Curtiss. |

Series | Monographs and textbooks in pure and applied mathematics -- v.44 |

Classifications | |
---|---|

LC Classifications | QA331 |

The Physical Object | |

Pagination | xv, 394p. |

Number of Pages | 394 |

ID Numbers | |

Open Library | OL22629487M |

ISBN 10 | 082476501X |

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. Complex Variables: Introduction and Applications, Mark J. Ablowitz, Athanssios S. Fokas, More difficult texts, some of which are in Dr. Herman's office: Principles Classics from Cornell Historic Math Book Collection. Functions of a Complex Variable by E.J. Townsend; Functions of a Complex Variable by T.S. Fiske.

As an introduction to Complex Analysis at the undergraduate and postgraduate levels, this new edition features an integrated approach to various areas; the concept of differentiation for complex valued functions of a complex variable, unified Cauchy Riemann equations, a detailed discussion on the construction of Riemann surfaces for elementary functions leading . Additional Physical Format: Online version: Copson, E.T. (Edward Thomas), Introduction to the theory of functions of a complex variable. Oxford, The Clarendon press,

1. The Real and Complex Number Fields 2. Sequences and Series 3. Sequences and Series of Complex-Valued Functions 4. Introduction to Power Series 5. Some Elementary Topological Concepts 6. Complex Differential Calculus 7. The Exponential and Related Functions 8. Complex Line Integrals 9. Introduction to the Cauchy Theory Since the s, there has been a flowering in higher-dimensional complex analysis. Both classical and new results in this area have found numerous applications in analysis, differential and algebraic geometry, and, in particular, contemporary mathematical physics. In many areas of modern mathematics, the mastery of the foundations of higher-dimensional complex analysis .

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"A definite need exists for an introduction to functions of complex variables in which all results are derived from a simple set of axioms. Since no such book is available, I have attempted to fill the gap by writing a text in which occur neither 'intuitive proofs' nor theorems for whose proofs the reader is referred to other sources.

“This textbook is an introduction to the classical theory of functions of one complex variable. Its distinctive feature are the graphical representations of functions, being the most useful tool in teaching and generally in mathematics.

Cited by: Introduction to Functions of a Complex Variable (Chapman & Hall/CRC Pure and Applied Mathematics) 1st Edition by J. Curtiss (Author) ISBN Cited by: Introduction to Complex Variables. These are the sample pages from the textbook, 'Introduction to Complex Variables'.

This book covers the following topics: Complex numbers and inequalities, Functions of a complex variable, Mappings, Cauchy-Riemann equations, Trigonometric and hyperbolic functions, Branch points and branch cuts, Contour integration. 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.

A complex function is a function from complex numbers to complex numbers. In other words, it is a function that has a subset of the complex numbers as a domain and the complex numbers as a codomain. Complex functions are generally supposed to have a domain that contains a nonempty open subset of the complex plane.

Reviews This book provides a systematic introduction to functions of one complex variable. Its novel feature is the consistent use of special color representations – so-called phase portraits – which visualize functions as images on their domains.

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, integration theorems, with applications to real integrals.

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 us examples have been given throughout the book, and there is also a set of Miscellaneous Examples, arranged to correspond with the.

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 Unknown Binding – January 1, out of 5 stars 25 ratings See all formats and editions/5(31). As the authors intended, the theory part is concise and quickly leads the reader from an introduction to complex numbers to useful and powerful techniques, with applications to integral representation of special functions, transform and asymptotic methods in the complex plane, and integral equations, just to name a s: 1.

About the book The book covers basic aspects of complex numbers, complex variables and complex functions. It also deals with analytic functions, Laurent series etc. $ An introduction to the theory of functions of a complex variable, Hardcover – January 1, by E. T Copson (Author) See all 13 formats and editions Hide other formats and editions5/5(2).

COMPLEX ANALYSIS An Introduction to the Theory of Analytic Functions of One Complex Variable Third Edition Lars V. Ahlfors Professor of Mathematics, Emeritus Harvard University McGraw-Hill, Inc. New York St. Louis San Francisco Auckland Bogota Caracas Lisbon London Madrid Mexico City Milan.

In this video, we will see Introduction to Functions of Complex Variables, Analytic Function, Cauchy-Reimann Equations & Harmonic Function with examples. Shop for Books on Google Play. Functions of A Complex Variable. J.N. Sharma. Krishna Prakashan Media, - Functions of a complex variable - pages.

3 Reviews. Preview this book Complex Integration 1 Introduction. Some basic definitions 3 Complex Reviews: 3. Introduction Theory Functions Complex Variabl07 Paperback – April 1, by Copson (Author) out of 5 stars 2 ratings.

See all formats and editions Hide other formats and editions. Price New from Used from Hardcover "Please retry" $ $ $ Paperback "Please retry" $ —Cited by: 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 An Introduction to the Theory of Functions of a Complex Variable by Copson E T - AbeBooks Passion for books.

Sign On My Account Basket Help. $\begingroup$ Well,the objects of functions of several complex variables are manifolds with a complex topological vector space ore,they are the centerpieces of the bulk of postth century analysis and geometry and the tools of sheaf theory via commutative algebra are deeply interwoven in a result of all this,any "pure" approach-say,emphasizing.

Selected topics in the classical theory of functions of a complex variable by Heins, Maurice and a great selection of related books, art and collectibles available now at. Introductory Complex and Analysis Applications provides an introduction to the functions of a complex variable, emphasizing applications.

This book covers a variety of topics, including integral transforms, asymptotic expansions, harmonic functions, Fourier .Functions of a Complex Variable and Some of Their Applications, Volume 1, discusses the fundamental ideas of the theory of functions of a complex variable.

The book is the result of a complete rewriting and revision of a translation of the second () Russian edition.This is a rigorous introduction to the theory of complex functions of one complex variable. The authors have made an effort to present some of the deeper and more interesting results, for example, Picard's theorems, Riemann mapping theorem, Runge's theorem in .