2 edition of Methods of the theory of functions of many complex variables found in the catalog.
Methods of the theory of functions of many complex variables
V. S. Vladimirov
Originally published as Metody teorii funktsiy mnogikh kompleksnykh peremennykh. Moscow: Nauka Press, 1964.
|Statement||Vasiliy Sergeyevich Vladimirov ; edited by Leon Ehrenpreis with a preface by N.N. Bogolyubov.|
Theory of functions of a complex variable by Forsyth, Andrew Russell; 7 editions; First published in ; Subjects: Functions of complex variables, Functions, Accessible book. Caratheodory's books Theory of Functions Vol. I and II are closely related to our text. Also, I would particularly recommend Pólya and Szegö: Problems and Theorems in Analysis. Several chapters there deal with the subject of complex variables. Rudin's book, Real and Complex Analysis is also a valuable reference. Caratheódory, Constantin.
and Reed and Simon Methods of Modern Mathematical Physics. Then we give Lorch’s proof of the spectral theorem from his book Spectral Theory. This has the ﬂavor of complex analysis. The third proof due to Davies, presented at the end of Chapter XII replaces File Size: 1MB. Theory of Analytic Functions of Several Complex Variables, Volume 1 Volume 8 of American Mathematical Society. Translations of Mathematical Monographs Theory of Analytic Functions of Several Complex Variables Issue 8 of Translations of mathematical monographs: Author: Boris Abramovich Fuks: Publisher: American Mathematical Soc., ISBN.
The book by Gunning and Rossi was the first of the modern era of the theory of several complex variables, which is distinguished by the use of these methods. The intention of Gunning and Rossi's book is to provide an extensive introduction to the Oka-Cartan theory and some of its applications, and to the general theory of analytic spaces. The theory of analytic functions of several complex variables enjoyed a period of remarkable development in the middle part of the twentieth century.4/5(3).
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Methods of the Theory of Functions of Many Complex Variables (Dover Books on Mathematics) Paperback – Janu by Vasiliy Sergeyevich Vladimirov (Author) out of 5 stars 1 rating.
See all 9 formats and editions Hide other formats and editions. Price New from Cited by: This systematic exposition outlines the fundamentals of the theory of single sheeted domains of holomorphy. It further illustrates applications to quantum field theory, the theory of functions, and differential equations with constant coefficients.
Students of quantum field theory will find this text of particular value. edition. Additional Physical Format: Online version: Vladimirov, V.S.
(Vasiliĭ Sergeevich). Methods of the theory of functions of many complex variables. 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 by: Get this from a library.
Methods of the theory of functions of many complex variables. [V S Vladimirov; Leon Ehrenpreis]. Applied Complex Variables is a cogent, well-written introduction to an important and exciting branch of advanced mathematics — serving both the theoretical needs of the mathematics specialist and the applied math needs of the physicist and engineer.
Students and teachers alike will welcome this timely, moderately priced reissue of a widely. 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). 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 analysis is a basic tool with a great many practical applications to the solution of physical problems.
It revolves around complex analytic functions—functions that have a complex derivative. Unlike calculus using real variables, the mere existence of a complex derivative has strong implications for the properties of the : Jeremy Orloff.
After laying groundwork on complex numbers and the calculus and geometric mapping properties of functions of a complex variable, the author uses power series as a unifying theme to define and study the many rich and occasionally surprising properties of analytic functions, including the Cauchy theory and residue theorem.
The book concludes with. Methods of the Theory of Functions of Many Complex Variables 作者: Vladimirov, V.S. 出版社: Dover Pubns 出版年: 页数: 定价: $ 装帧: Pap ISBN: Complex variables offer very efficient methods for attacking many difficult problems, and it is the aim of this book to offer a thorough review of these methods and their applications.
Part I is an introduction to the subject, including residue calculus and transform methods. 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. The author provides explicit applications of holomprphic functions to quantum field theory and to different equations with constant coefficients, among other subjects.
Methods of the Theory of Functions of Several Complex Variables | The MIT Press. 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.
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.
Numerous changes and additions have been made, both in the text and in the. The level of the text assumes that the reader is acquainted with elementary real analysis.
Beginning with the revision of the algebra of complex variables, the book moves on to deal with analytic functions, elementary functions, complex integration, sequences, series and infinite products, series expansions, singularities and s: 2.
The textbook outlines the methods of the theory of functions of a complex variable that are used in applied problems (expanding functions in series, calculating integrals using residues, conformal.
theory of several complex variables, illustrate it with as many examples as I could ﬁnd and help the student to get deeper insight by giving lots of exercises, reaching from almost trivial to rather challenging. There are not many illustrations in this book, in fact, there is exactly one.
In this post we will see the book Lectures on the Theory of Functions of a Complex Variable by Yu. Sidorov, M. Fedoryuk, M. 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.
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.Book Description.
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.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.