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Geometric Complex Analysis

Geometric Complex Analysis PDF Author: Jisoo Byun
Publisher: Springer
ISBN: 9811316724
Category : Mathematics
Languages : en
Pages : 361

Book Description
The KSCV Symposium, the Korean Conference on Several Complex Variables, started in 1997 in an effort to promote the study of complex analysis and geometry. Since then, the conference met semi-regularly for about 10 years and then settled on being held biannually. The sixth and tenth conferences were held in 2002 and 2014 as satellite conferences to the Beijing International Congress of Mathematicians (ICM) and the Seoul ICM, respectively. The purpose of the KSCV Symposium is to organize the research talks of many leading scholars in the world, to provide an opportunity for communication, and to promote new researchers in this field.

Geometric Complex Analysis

Geometric Complex Analysis PDF Author: Jisoo Byun
Publisher: Springer
ISBN: 9811316724
Category : Mathematics
Languages : en
Pages : 361

Book Description
The KSCV Symposium, the Korean Conference on Several Complex Variables, started in 1997 in an effort to promote the study of complex analysis and geometry. Since then, the conference met semi-regularly for about 10 years and then settled on being held biannually. The sixth and tenth conferences were held in 2002 and 2014 as satellite conferences to the Beijing International Congress of Mathematicians (ICM) and the Seoul ICM, respectively. The purpose of the KSCV Symposium is to organize the research talks of many leading scholars in the world, to provide an opportunity for communication, and to promote new researchers in this field.

Complex Analysis

Complex Analysis PDF Author: Steven G. Krantz
Publisher: Cambridge University Press
ISBN: 9780883850350
Category : Mathematics
Languages : en
Pages : 252

Book Description
Advanced textbook on central topic of pure mathematics.

Complex Analysis and CR Geometry

Complex Analysis and CR Geometry PDF Author: Giuseppe Zampieri
Publisher: American Mathematical Soc.
ISBN: 0821844423
Category : CR submanifolds
Languages : en
Pages : 210

Book Description
Cauchy-Riemann (CR) geometry is the study of manifolds equipped with a system of CR-type equations. Compared to the early days when the purpose of CR geometry was to supply tools for the analysis of the existence and regularity of solutions to the $\bar\partial$-Neumann problem, it has rapidly acquired a life of its own and has became an important topic in differential geometry and the study of non-linear partial differential equations. A full understanding of modern CR geometryrequires knowledge of various topics such as real/complex differential and symplectic geometry, foliation theory, the geometric theory of PDE's, and microlocal analysis. Nowadays, the subject of CR geometry is very rich in results, and the amount of material required to reach competence is daunting tograduate students who wish to learn it.

Visual Complex Analysis

Visual Complex Analysis PDF Author: Tristan Needham
Publisher: Oxford University Press
ISBN: 9780198534464
Category : Mathematics
Languages : en
Pages : 620

Book Description
This radical first course on complex analysis brings a beautiful and powerful subject to life by consistently using geometry (not calculation) as the means of explanation. Aimed at undergraduate students in mathematics, physics, and engineering, the book's intuitive explanations, lack of advanced prerequisites, and consciously user-friendly prose style will help students to master the subject more readily than was previously possible. The key to this is the book's use of new geometric arguments in place of the standard calculational ones. These geometric arguments are communicated with the aid of hundreds of diagrams of a standard seldom encountered in mathematical works. A new approach to a classical topic, this work will be of interest to students in mathematics, physics, and engineering, as well as to professionals in these fields.

Function Theory of Several Complex Variables

Function Theory of Several Complex Variables PDF Author: Steven George Krantz
Publisher: American Mathematical Soc.
ISBN: 0821827243
Category : Functions of several complex variables
Languages : en
Pages : 586

Book Description
Emphasizing integral formulas, the geometric theory of pseudoconvexity, estimates, partial differential equations, approximation theory, inner functions, invariant metrics, and mapping theory, this title is intended for the student with a background in real and complex variable theory, harmonic analysis, and differential equations.

Classical Complex Analysis

Classical Complex Analysis PDF Author: I-Hsiung Lin
Publisher: World Scientific
ISBN: 9814271284
Category : Mathematics
Languages : en
Pages : 713

Book Description
Classical Complex Analysis provides an introduction to one of the remarkable branches of exact science, with an emphasis on the geometric aspects of analytic functions. This volume begins with a geometric description of what a complex number is, followed by a detailed account of algebraic, analytic and geometric properties of standard complex-valued functions. Geometric properties of analytic functions are then developed and described In detail, and various applications of residues are Included; analytic continuation is also introduced. --Book Jacket.

Geometry and Complex Variables

Geometry and Complex Variables PDF Author: S. Coen
Publisher: Routledge
ISBN: 1351445278
Category : Mathematics
Languages : en
Pages : 500

Book Description
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 variables.Building upon the rich tradition of the University of Bologna's great mathematics teachers, thisvolume contains new studies on the history of mathematics, including the algebraic geometrywork of F. Enriques, B. Levi, and B. Segre ... complex function theory ideas of L. Fantappie,B. Levi, S. Pincherle, and G. Vitali ... series theory and logarithm theory contributions of P.Mengoli and S. Pincherle ... and much more. Additionally, the book lists all the University ofBologna's mathematics professors-from 1860 to 1940-with precise indications of eachcourse year by year.Including survey papers on combinatorics, complex analysis, and complex algebraic geometryinspired by Bologna's mathematicians and current advances, Geometry and ComplexVariables illustrates the classic works and ideas in the field and their influence on today'sresearch.

Geometric Function Theory

Geometric Function Theory PDF Author: Steven G. Krantz
Publisher: Springer Science & Business Media
ISBN: 0817644407
Category : Mathematics
Languages : en
Pages : 311

Book Description
* Presented from a geometric analytical viewpoint, this work addresses advanced topics in complex analysis that verge on modern areas of research * Methodically designed with individual chapters containing a rich collection of exercises, examples, and illustrations

Complex Functions

Complex Functions PDF Author: Gareth A. Jones
Publisher: Cambridge University Press
ISBN: 9780521313667
Category : Mathematics
Languages : en
Pages : 362

Book Description
An elementary account of many aspects of classical complex function theory, including Mobius transformations, elliptic functions, Riemann surfaces, Fuchsian groups and modular functions. The book is based on lectures given to advanced undergraduate students and is well suited as a textbook for a second course in complex function theory.

Handbook of Complex Analysis

Handbook of Complex Analysis PDF Author: Reiner Kuhnau
Publisher: Elsevier
ISBN: 9780080532813
Category : Mathematics
Languages : en
Pages : 548

Book Description
Geometric Function Theory is a central part of Complex Analysis (one complex variable). The Handbook of Complex Analysis - Geometric Function Theory deals with this field and its many ramifications and relations to other areas of mathematics and physics. The theory of conformal and quasiconformal mappings plays a central role in this Handbook, for example a priori-estimates for these mappings which arise from solving extremal problems, and constructive methods are considered. As a new field the theory of circle packings which goes back to P. Koebe is included. The Handbook should be useful for experts as well as for mathematicians working in other areas, as well as for physicists and engineers. · A collection of independent survey articles in the field of GeometricFunction Theory · Existence theorems and qualitative properties of conformal and quasiconformal mappings · A bibliography, including many hints to applications in electrostatics, heat conduction, potential flows (in the plane)