3 edition of Several complex variables found in the catalog.
Several complex variables
|Statement||by Salomon Bochner and William Ted Martin.|
|Series||Princeton mathematical series ;, 10|
|Contributions||Martin, William Ted, 1911- joint author.|
|LC Classifications||QA331 .B65|
|The Physical Object|
|Pagination||ix, 216 p.|
|Number of Pages||216|
|LC Control Number||48009312|
The present book grew out of introductory lectures on the theory offunctions of several variables. Its intent is to make the reader familiar, by the discussion of examples and special cases, with the most important branches and methods of this theory, among them, e.g., the problems of holomorphic continuation, the algebraic treatment of power series, sheaf and cohomology theory, and the real. Drawn from lectures given by Raghavan Narasimhan at the University of Geneva and the University of Chicago, this book presents the part of the theory of several complex variables pertaining to unramified domains over C. Topics discussed are Hartogs' theory, domains in holomorphy, and automorphism of bounded domains.
Thus every complex number (x,y) can be written in one and only one fashion in the form x1+yiwith x,y∈ indicated, we usually write the number even more succinctly as x+ laws of addition and multiplication become (x+iy)+(x 0+iy0) = (x+x)+i(y+y0), (x+iy)(x0 +iy0) = (xx0 −yy0)+i(xy0 +yx0). Basic Complex Analysis Of One Variable. This note covers the following topics: Basic Properties of Complex Numbers, Complex Differentiability, Conformality, Contour Integration, Zeros and Poles, Application to Evaluation of Definite Real Integrals, Local And Global Properties, Convergence in Function Theory, Dirichlet’s Problem, Periodic Functions.
Abstract: One of the approaches to the study of functions of several complex variables is to use methods originating in real analysis. In this concise book, the author gives a lucid presentation of how these methods produce a variety of global existence theorems in the theory of functions (based on the characterization of holomorphic functions as weak solutions of the Cauchy-Riemann equations). Krantz's monographs include Function Theory of Several Complex Variables, Complex Analysis: The Geometric Viewpoint, A Primer of Real Analytic Functions (joint with Harold R. Parks), The Implicit Function Theorem (joint with Harold Parks), Geometric Integration Theory (joint with Harold Parks), and The Geometry of Complex Domains (joint with Kang-Tae Kim and Robert E. Greene).Alma mater: University of California at Santa .
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This book is a short overview of the theory of several complex variables that emphasized the elementary aspects of the subject, such as Hartogs' theory, and domains of holomorphy.
The price quoted here for the book is surely a mistake, and even though it is out of print, if obtained it could still be of use for by: In recent years there has been increasing interaction among various branches of mathematics.
This is especially evident in the theory of several complex variables where fruitful interplays of the methods of algebraic geometry, differential geometry, and partial differential equations have led to.
Several complex variables are an indispensable background for complex manifolds and algebraic geometry, and several important topics in theoretical physics (string theory, twistor theory, conformal field theory), and it's a shame that books like GR go out-of-print without any others for substituting by: Several Complex Variables.
Maryland Proceedings of the International Mathematical Conference, Held at College Park, April The idea for this book came when I was an assistant at the Department of Mat- matics and Computer Science at the Philipps-University Marburg, Germany. This volume of the EMS contains four survey articles on analytic spaces.
They are excellent introductions to each respective area. Starting from basic principles in several complex variables each arti. Several Complex Variables is a central area of mathematics with strong interactions with partial differential equations, algebraic geometry, number theory, and differential geometry.
This volume consists of a collection of articles for the proceedings of the 40th Taniguchi Symposium Analysis and Geometry in Several Complex Variables held in Katata, Japan, on JuneSince the inhomogeneous Cauchy-Riemann equation was introduced in the study of Complex Brand: Birkhäuser Basel.
Function Theory of Several Complex Variables pdf Function Theory of Several Complex Variables pdf: Pages By Steven G. Krantz 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.
Tasty Bits of Several Complex Variables, ISBN X, ISBNBrand New, Free shipping in the US. Several Complex Variables (Graduate Texts in Mathematics) Softcover reprint of the original 1st ed. Edition by H. Grauert (Author)Cited by: This book is dedicated to the memory of Mikael Passare, an outstanding Swedish mathematician who devoted his life to developing the theory of analytic functions in several complex variables and exploring geometric ideas first-hand.
It includes several papers describing Mikael’s life as well as his. Several Complex Variables By B. Malgrange Tata Institute of Fundamental Research Bombay No part of this book may be reproduced in any form by print, microﬁlm or any other means with- equations to the case of functions of several variables).
While due homage is paid to the more traditional algebraic theory (sheaves, Cousin problems, etc.), the student with a background in real and complex variable theory, harmonic analysis, and differential equations will be most comfortable with this treatment.
It is currently the only book on the subject with exercises and a large number of by: Several Complex Variables JaapKorevaar,JanWiegerinck [email protected] versionofAugust23, Korteweg-deVriesInstituteforMathematics FacultyofScienceFile Size: 1MB. The textbook we're using is Complex Variables and Applications, by Brown & Churchill, and is actually a pretty good book on its own.
I have also purchased Shilov's Elementary Real and Complex Analysis, which was not much help at all for this course, Cited by: the fascinating theory of several complex variables.
Of course, there are notable exceptions, like the books of R.M. Range or B. and L. Kaup, however, even those excellent books have a drawback: they are quite thick and thus quite expensive for a student’s budget. The foregoing illustrates a constant theme: there are similarities between complex analysis in several variables and in one variable, but also diﬀerences and some of the diﬀerences are very striking.
Thus the subject of analytic continuation presents entirely new phenomena for n≥ Size: 2MB. Neuware - This book provides a comprehensive introduction to complex analysis in several variables. One major focus of the book is extension phenomena alien to the one-dimensional theory (Hartog's Kugelsatz, theorem of Cartan-Thullen, Bochner's theorem).
Could any one tell me name of some books on several complex variable for some one who will start reading the subject for the first time in his life. he has back ground on Differential geometry,complex analysis one variable, algebraic topology,commutative algebra. These lectures will give an introduction to several complex variables.
We will generally follow the classical book by Hormander, An Introduction to complex analysis in several variables. The notes will add some more details to the text of Hormander, especially after the introductory Size: KB.The big highlight in a first course in several complex variables is usually to solve the Levi problem, i.e.
to characterize the domains of existence for holomorphic functions. (Hartogs' extension theorem shows that some domains are unnatural to study, since all holomorphic functions extend to a bigger domain.).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 .