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Topics in the theory of functions of several complex variables.

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Published by Dover Publications in New York .
Written in English


  • Functions of several complex variables.

Book details:

LC ClassificationsQA331 .O83 1966
The Physical Object
Paginationiii, 120 p.
Number of Pages120
ID Numbers
Open LibraryOL5992523M
LC Control Number66023744

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A reader interested in classical function theory, a subject vivid two centuries ago, will find a gem in this book. Among the material is a expostion of the gamma and beta function and associated functions, some partition functions and related identities, like the Jacobi triple product identity, but also many more objects of that by: Additional Physical Format: Online version: Osgood, William F. (William Fogg), Topics in the theory of functions of several complex variables. Whether you've loved the book or not, if you give your honest and detailed thoughts then people will find new books that are right for them. 1 Topics in the theory of functions of several complex variables. The book provides an introduction to the theory of functions of several complex variables and their singularities, with special emphasis on topological aspects. The topics include Riemann surfaces, holomorphic functions of several variables, classification and deformation of singularities, fundamentals of differential topology, and the topology.

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 and mapping of several complex variables and prove the n-dimensional h-out this book n,m denote natural numbers (including zero). The set of strictly positive naturals will be denoted by N +, the set of strictly positive reals by R +. 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. Topics; Complex Variable Theory on Open Subsets of C n: 1: Functions of one Complex Variable, Cauchy Integral Formula, Taylor Series, Analytic Continuation: 2: Cauchy Integral Formula (cont.), Inhomogeneous C.R. Equation, Riemann Equation in One Variable, Functions of Several Complex Variables .

An illustration of an open book. Books. An illustration of two cells of a film strip. Video An illustration of an audio speaker. Topics in the theory of functions of several complex variables Item Preview remove-circle Topics Functions of several complex variables . Classical topics in complex function theory. What makes these books special is the great attention to history of the subject. Ahlfors and WW are very different in contents, which reflects the change of fashion in mathematics. Ahlfors is more geometric, while WW is full of formulas. On the very minimum level an old but excellent little book by. Develops the higher parts of function theory in a unified presentation. Starts with elliptic integrals and functions and uniformization theory, continues with automorphic functions and the theory of abelian integrals and ends with the theory of abelian functions and modular functions in several variables. The last topic originates with the author and appears here for the first time in book form. 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: