2 edition of **Selected topics in the classical theory of functions of a complex variable.** found in the catalog.

Selected topics in the classical theory of functions of a complex variable.

Maurice Heins

- 27 Want to read
- 21 Currently reading

Published
**1962**
by Holt, Rinehart and Winston in New York
.

Written in

**Edition Notes**

Series | Athena series. Selected topics in mathematics |

The Physical Object | |
---|---|

Pagination | 160p. |

Number of Pages | 160 |

ID Numbers | |

Open Library | OL20089034M |

Intended for advanced undergraduates and graduate students in mathematics, this book represented a new approach to the teaching of complex analysis with emphasis on the argument principle in analysis and topology. The treatment provides geometrical insights by covering angles, basic complex analysis, and interactions with plane topology while focusing on the concepts of angle and winding. Mod Lec Fundamental Green function for Δ2(Part I) Mod Lec Fundamental Green function for Δ2 (Part II) Mod Lec Analytic functions of a complex variable (Part I).

Part of the Graduate Texts in Mathematics book series (GTM, volume ) Log in to check access. Buy eBook. USD Entire Functions with Prescribed Zeros. Reinhold Remmert. Pages Classical Topics in Complex Function Theory. Reinhold Remmert. Pages E1-E1. PDF. Back Matter. Pages PDF. Elementary Properties of the Complex Numbers, 1 Further Properties of the Complex Numbers, 3 Complex Polynomials, 10 Holomorphic Functions, the Cauchy-Riemann Equations, and Harmonic Functions, 15 Real and Holomorphic Antiderivatives, 18 Exercises, 22 2. Complex Line Integrals 30 Real and Complex Line Integrals,

This book includes information on elementary general topology, the Cauchy Integral Theorem and concepts of homology and homotopy in their application to the Cauchy theory. It is intended for an introductory course in complex analysis at the first-year graduate and advanced undergraduate level. iv Complexiﬁcation of the Integrand 62 An Example with a More Subtle Choice of Contour.. 63 Making the Spurious Part of File Size: 1MB.

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Selected Topics in the Classical Theory of Functions of a Complex Variable (Dover Books on Mathematics) Paperback – Janu by Maurice Heins (Author) › Visit Amazon's Maurice Heins Page. Find all the books, read about the author, and more. Cited by: Elegant and concise, this text is geared toward advanced undergraduate students acquainted with the theory of functions of a complex variable.

The treatment presents such students with a number of important topics from the theory of analytic functions that may be addressed without erecting an elaborate superstructure. These include some of the theory's most celebrated results, which. Additional Physical Format: Online version: Heins, Maurice, Selected topics in the classical theory of functions of a complex variable.

New York, Holt, Rinehart and Winston []. Get this from a library. Selected topics in the classical theory of functions of a complex variable. [Maurice Heins]. Elegant and concise, this text is geared toward advanced undergraduate students acquainted with the theory of functions of a complex variable.

Topics include properties of meromorphic functions, the Picard theorem, harmonic and subharmonic functions, applications, and the boundary behavior of the Riemann mapping function for simply connected Jordan regions.

edition. An ideal text for an advanced course in the theory of complex functions, this book leads readers to experience function theory personally and to participate in the work of the creative mathematician. The author includes numerous glimpses of the function theory of several complex variables, which illustrate how autonomous this discipline has become.

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

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.

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A thorough introduction to the theory of complex functions emphasizing the beauty, power, and counterintuitive nature of the subject. Written with a reader-friendly approach, Complex Analysis: A Modern First Course in Function Theory features a self-contained, concise development of the fundamental principles of complex laying groundwork on complex numbers and the.

Maurice Haskell Heins (19 NovemberBoston – 4 June ) was an American mathematician, specializing in complex analysis and harmonic analysis. Heins received his bachelor's degree inhis master's degree inand his Ph.D. inunder Joseph L. Walsh, from Harvard University with thesis Extremal Problems for Functions Analytic and Single-Valued in a Doubly-Connected Region.

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. Smirnov and later by Dr. 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. Both men are distinguished mathematicians with.

In the narrow sense of the term, the theory of function of a complex variable is the theory of analytic functions (cf. Analytic function) of one or several complex variables. As an independent discipline, the theory of functions of a complex variable took shape in about the middle of the 19th century as the theory of analytic functions.

Math Selected Topics in Classical Analysis: Math Selected Topics in Probability, Statistics, and Operations Research: Graduate Courses in Mathematics; Math A Topics in Mathematics: Math A Selected Topics in Applied Mathematics: Math A Theory of Functions of a Complex Variable I: Math A Theory of Functions of a.

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. 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. E.T. Copson Theory of the Functions of a Complex Variable Oxford Clarendon press Acrobat 7 Pdf Mb.

Scanned by artmisa using Canon DRC + flatbed. Its purpose is to present an exposition of selected topics in the geometric theory of functions of one complex variable, which in the author's opinion should be known by all prospective workers in complex analysis.

approximately a year's background in complex variable theory. The book emphasizes the geometric approach as well as classical. Plurisubharmonic functions playa major role in the theory of functions of several complex variables. The extensiveness of plurisubharmonic functions, the simplicity of their definition together with the richness of their properties and.

most importantly, their close connection with holomorphic functions have assured plurisubharmonic functions a lasting place in multidimensional complex analysis. Basic Complex Analysis: the first tools, from holomorphic functions to Residue Theorem. Selected Topics of Complex Analysis: taken from Remmert's book, it treats the Riemann Mapping Thm, Infinite products, Runge Theory, Maximum Modulus Thm.

Saying that here all .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 /5(11).Selected topics, such as the Picard Existence Theorem for differential equations, have been included in such a way that selections may be made while preserving a fluid presentation of the essential material.

Supplemented with numerous exercises, Advanced Calculus is a perfect book for undergraduate students of analysis.