2 edition of Geometric theory of functions of a complex variable. found in the catalog.
Geometric theory of functions of a complex variable.
G. M. Goluzin
|Statement||[Translated from the Russian by Scripta Technica]|
|Series||Translations of mathematical monographs,, v. 26|
|Contributions||Lebedev, N. A.|
|LC Classifications||QA331 .G5913|
|The Physical Object|
|Pagination||vi, 676 p.|
|Number of Pages||676|
|LC Control Number||70082894|
Abstract: This work departs from earlier treatments of the subject by emphasizing integral formulas, the geometric theory of pseudoconvexity, estimates, partial differential equations, approximation theory, the boundary behavior of holomorphic functions, inner functions, invariant metrics, and mapping theory. This is an advanced undergraduate course dealing with calculus in one complex variable with geometric emphasis. Since the course Analysis I (B) is a prerequisite, topological notions like compactness, connectedness, and related properties of continuous functions are taken for granted. This course offers biweekly problem sets with solutions, two term tests and a final exam, all with.
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 The purpose of this book is to present the classical analytic function theory of several variables as a standard subject in a course of mathematics after learning the elementary materials (sets, general topology, algebra, one complex variable). This includes the essential parts of Grauert–Remmert's.
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. This reference presents the proceedings of an international meeting on the occasion of theUniversity of Bologna's ninth centennial-highlighting the latest developments in the field ofgeometry and complex variables and new results in the areas of algebraic geometry,differential geometry, and analytic functions of one or several complex ng upon the rich tradition of the.
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Several Complex Variables III: Geometric Function Theory (Encyclopaedia of Mathematical Sciences) (v. 3) and a great selection of related books, art and collectibles available now at The last major hero of the book Karl Weierstrass’s lifelong ambition was to build a theory of Abelian functions that were functions of several complex variables.
Unlike Cauchy and Riemann, he started with power series expansions, algebraic methods and convergence arguments; all of which naturally generalized to higher dimensions more easily. The book serves two purposes. The first is to provide a self-contained and coherent account of recent developments in geometric function theory in several complex variables, aimed at those who have already mastered the basics of complex function theory and the elementary theory of differential and complex by: This book is based on lectures on geometric function theory given by the author at Leningrad State University.
It studies univalent conformal mapping of simply and multiply connected domains, conformal mapping of multiply connected domains onto a disk, applications of conformal mapping to the study of interior and boundary properties of analytic functions, and general questions of a geometric.
Geometric Theory of Functions of a Complex Variable Volume 26 of Translations of mathematical monographs: Author: Gennadiĭ Mikhaĭlovich Goluzin: Publisher: American Mathematical Soc., ISBN: X, Length: pages: Export Citation: BiBTeX EndNote RefMan. Elements of the Theory of Functions of a Complex Variable by G.E.
Fisher, I.J. Schwatt. Publisher: Philadelphia G.E. Fisher ISBN/ASIN: Number of pages: Description: Contents: Geometric representation of imaginary quantities; Functions of a complex variable in general; Multiform functions; Integrals with complex variables; The logarithmic and exponential functions.
Jun 2, 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. Buy Lectures on the theory of functions of a complex variable on FREE SHIPPING on qualified orders.
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.
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.
function theory can omit, the reader will find here - RITT's theorem on asymptotic power series expansions, which pro-vides a function-theoretic interpretation of the famous theorem of E.
BOREL to the effect that any sequence of complex numbers is the sequence of derivatives at 0 of some infinitely differentiable function on the line. Free shipping on orders of $35+ from Target. Read reviews and buy Methods of the Theory Functions Many Complex Variables - (Dover Books on Mathematics) by Vasiliy Sergeyevich Vladimirov (Paperback) at Target.
Get it today with Same Day Delivery, Order Pickup or Drive Up. 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. This text adopts the latter perspective by applying an arithmetic-algebraic viewpoint to the study of function fields as part of the algebraic theory of numbers, where a function field of one variable is the analogue of a finite extension of Q, the field of rational numbers.
The author does not ignore the geometric-analytic aspects of function. addition algebra analytic angle basis C2-class calculations called classes classical concept conclusion condition consequence consider continuous convex convex functions coordinates Corollary curve defined Definition denote derivative differential direct domain dual complex easily elements equation equivalent example exists expression f is.
As to geometry the book by Jones and Singerman: Complex functions, an algebraic and geometric viewpoint, is very well done. The classic book by Ford on Automorphic functions is also recommended. I second the recommendation of the book by Rick Miranda, a book that is just a joy to read. Finally, the original papers of Riemann are highly recommended.
Additional Physical Format: Online version: Goluzin, G.M. (Gennadiĭ Mikhaĭlovich), Geometric theory of functions of a complex variable. Function Theory of One Complex Variable (with Greene, Robert E.) (3rd ed., American Mathematical Society,ISBN ) Complex Analysis: The Geometric Viewpoint (2nd ed., Mathematical Association of America,ISBN ).
Get this from a library. Geometric theory of functions of a complex variable. [Genadij M Golusin]. Complex variables is a precise, elegant, and captivating subject.
Presented from the point of view of modern work in the field, this new book addresses advanced topics in complex analysis that verge on current areas of research, including invariant geometry, the Bergman metric, the automorphism groups of domains, harmonic measure, boundary regularity of conformal maps, the Poisson kernel, the.
$\begingroup$ 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 analysis-only tells part.
P. Duren, Univalent functions. This is an excellent book about general theory of the univalent functions. We are mostly interested in the first three chapters. G. Goluzin, Geometric Theory of Functions of a Complex Variable. This book contains vast amount of information about the geometric function theory.Student Complex Analysis Seminar: Wednesdays,LD Complex Analysis, or the Theory of Functions of a Complex Variable, is a central topic in analysis at an advanced level.
It is analogous to real analysis, but also quite di erent from real analysis, because complex di erentiable functions are much more special than real.Elementary theory of several complex variables In this chapter we study the n-dimensional complex vector space Cn and introduce some notation used throughout this book.
After recalling geometric and topolog-ical notions such as connectedness or convexity we will introduce holomorphic.