An Introduction To Complex Analysis And Geometry

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An Introduction to Complex Analysis and Geometry

John P. D'Angelo
An Introduction to Complex Analysis and Geometry Book PDF

Author : John P. D'Angelo
Publisher : American Mathematical Soc.
Page : 177 pages
File Size : 44,8 Mb
Release : 2010
Category : Functions of complex variables
ISBN : 9780821852743

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An Introduction to Complex Analysis and Geometry by John P. D'Angelo Pdf

Provides the reader with a deep appreciation of complex analysis and how this subject fits into mathematics. The first four chapters provide an introduction to complex analysis with many elementary and unusual applications. Chapters 5 to 7 develop the Cauchy theory and include some striking applications to calculus. Chapter 8 glimpses several appealing topics, simultaneously unifying the book and opening the door to further study.

Complex Analysis and Geometry

Vincenzo Ancona,Alessandro Silva
Complex Analysis and Geometry Book PDF

Author : Vincenzo Ancona,Alessandro Silva
Publisher : Springer Science & Business Media
Page : 418 pages
File Size : 44,5 Mb
Release : 2013-11-11
Category : Mathematics
ISBN : 9781475797718

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Complex Analysis and Geometry by Vincenzo Ancona,Alessandro Silva Pdf

The papers in this wide-ranging collection report on the results of investigations from a number of linked disciplines, including complex algebraic geometry, complex analytic geometry of manifolds and spaces, and complex differential geometry.

Complex Analysis

Steven G. Krantz
Complex Analysis Book PDF

Author : Steven G. Krantz
Publisher : Cambridge University Press
Page : 252 pages
File Size : 41,5 Mb
Release : 2004
Category : Mathematics
ISBN : 0883850354

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Complex Analysis by Steven G. Krantz Pdf

Advanced textbook on central topic of pure mathematics.

Complex Analysis: The Geometric Viewpoint: Second Edition

Steven G. Krantz
Complex Analysis The Geometric Viewpoint Second Edition Book PDF

Author : Steven G. Krantz
Publisher : American Mathematical Soc.
Page : 219 pages
File Size : 53,7 Mb
Release : 2004-12-31
Category : Mathematics
ISBN : 9780883850350

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Complex Analysis: The Geometric Viewpoint: Second Edition by Steven G. Krantz Pdf

Recipient of the Mathematical Association of America's Beckenbach Book Prize in 1994! In this second edition of a Carus Monograph Classic, Steven Krantz develops material on classical non-Euclidean geometry. He shows how it can be developed in a natural way from the invariant geometry of the complex disc. He also introduces the Bergman kernel and metric and provides profound applications, some of them never having appeared before in print. In general, the new edition represents a considerable polishing and re-thinking of the original successful volume. This is the first and only book to describe the context, the background, the details, and the applications of Ahlfors's celebrated ideas about curvature, the Schwarz lemma, and applications in complex analysis. Beginning from scratch, and requiring only a minimal background in complex variable theory, this book takes the reader up to ideas that are currently active areas of study. Such areas include a) the Caratheodory and Kobayashi metrics, b) the Bergman kernel and metric, and c) boundary continuation of conformal maps. There is also an introduction to the theory of several complex variables. Poincaré's celebrated theorem about the biholomorphic inequivalence of the ball and polydisc is discussed and proved.

Complex Geometry

Daniel Huybrechts
Complex Geometry Book PDF

Author : Daniel Huybrechts
Publisher : Springer Science & Business Media
Page : 336 pages
File Size : 45,6 Mb
Release : 2005
Category : Computers
ISBN : 3540212906

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Complex Geometry by Daniel Huybrechts Pdf

Easily accessible Includes recent developments Assumes very little knowledge of differentiable manifolds and functional analysis Particular emphasis on topics related to mirror symmetry (SUSY, Kaehler-Einstein metrics, Tian-Todorov lemma)

Visual Complex Analysis

Tristan Needham
Visual Complex Analysis Book PDF

Author : Tristan Needham
Publisher : Oxford University Press
Page : 620 pages
File Size : 46,9 Mb
Release : 1997
Category : Mathematics
ISBN : 0198534469

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Visual Complex Analysis by Tristan Needham Pdf

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.

Classical Complex Analysis

I-Hsiung Lin
Classical Complex Analysis Book PDF

Author : I-Hsiung Lin
Publisher : World Scientific
Page : 713 pages
File Size : 52,6 Mb
Release : 2011
Category : Mathematics
ISBN : 9789814271288

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Classical Complex Analysis by I-Hsiung Lin Pdf

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.

Complex Analysis and Algebraic Geometry

Kunihiko Kodaira,W. L. Jr Baily,T. Shioda
Complex Analysis and Algebraic Geometry Book PDF

Author : Kunihiko Kodaira,W. L. Jr Baily,T. Shioda
Publisher : CUP Archive
Page : 424 pages
File Size : 44,7 Mb
Release : 1977
Category : Mathematics
ISBN : 0521217776

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Complex Analysis and Algebraic Geometry by Kunihiko Kodaira,W. L. Jr Baily,T. Shioda Pdf

The articles in this volume cover some developments in complex analysis and algebraic geometry. The book is divided into three parts. Part I includes topics in the theory of algebraic surfaces and analytic surface. Part II covers topics in moduli and classification problems, as well as structure theory of certain complex manifolds. Part III is devoted to various topics in algebraic geometry analysis and arithmetic. A survey article by Ueno serves as an introduction to the general background of the subject matter of the volume. The volume was written for Kunihiko Kodaira on the occasion of his sixtieth birthday, by his friends and students. Professor Kodaira was one of the world's leading mathematicians in algebraic geometry and complex manifold theory: and the contributions reflect those concerns.

Complex Analysis

Peter Ebenfelt,Norbert Hungerbühler,Joseph J. Kohn,Ngaiming Mok,Emil J. Straube
Complex Analysis Book PDF

Author : Peter Ebenfelt,Norbert Hungerbühler,Joseph J. Kohn,Ngaiming Mok,Emil J. Straube
Publisher : Springer Science & Business Media
Page : 353 pages
File Size : 43,8 Mb
Release : 2011-01-30
Category : Mathematics
ISBN : 9783034600095

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Complex Analysis by Peter Ebenfelt,Norbert Hungerbühler,Joseph J. Kohn,Ngaiming Mok,Emil J. Straube Pdf

This volume presents the proceedings of a conference on Several Complex Variables, PDE’s, Geometry, and their interactions held in 2008 at the University of Fribourg, Switzerland, in honor of Linda Rothschild.

From Holomorphic Functions to Complex Manifolds

Klaus Fritzsche,Hans Grauert
From Holomorphic Functions to Complex Manifolds Book PDF

Author : Klaus Fritzsche,Hans Grauert
Publisher : Springer Science & Business Media
Page : 406 pages
File Size : 51,9 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781468492736

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From Holomorphic Functions to Complex Manifolds by Klaus Fritzsche,Hans Grauert Pdf

This introduction to the theory of complex manifolds covers the most important branches and methods in complex analysis of several variables while completely avoiding abstract concepts involving sheaves, coherence, and higher-dimensional cohomology. Only elementary methods such as power series, holomorphic vector bundles, and one-dimensional cocycles are used. Each chapter contains a variety of examples and exercises.

Analysis and Geometry on Complex Homogeneous Domains

Jacques Faraut,Soji Kaneyuki,Adam Koranyi,Qi-keng Lu,Guy Roos
Analysis and Geometry on Complex Homogeneous Domains Book PDF

Author : Jacques Faraut,Soji Kaneyuki,Adam Koranyi,Qi-keng Lu,Guy Roos
Publisher : Springer Science & Business Media
Page : 539 pages
File Size : 48,7 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461213666

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Analysis and Geometry on Complex Homogeneous Domains by Jacques Faraut,Soji Kaneyuki,Adam Koranyi,Qi-keng Lu,Guy Roos Pdf

A number of important topics in complex analysis and geometry are covered in this excellent introductory text. Written by experts in the subject, each chapter unfolds from the basics to the more complex. The exposition is rapid-paced and efficient, without compromising proofs and examples that enable the reader to grasp the essentials. The most basic type of domain examined is the bounded symmetric domain, originally described and classified by Cartan and Harish- Chandra. Two of the five parts of the text deal with these domains: one introduces the subject through the theory of semisimple Lie algebras (Koranyi), and the other through Jordan algebras and triple systems (Roos). Larger classes of domains and spaces are furnished by the pseudo-Hermitian symmetric spaces and related R-spaces. These classes are covered via a study of their geometry and a presentation and classification of their Lie algebraic theory (Kaneyuki). In the fourth part of the book, the heat kernels of the symmetric spaces belonging to the classical Lie groups are determined (Lu). Explicit computations are made for each case, giving precise results and complementing the more abstract and general methods presented. Also explored are recent developments in the field, in particular, the study of complex semigroups which generalize complex tube domains and function spaces on them (Faraut). This volume will be useful as a graduate text for students of Lie group theory with connections to complex analysis, or as a self-study resource for newcomers to the field. Readers will reach the frontiers of the subject in a considerably shorter time than with existing texts.

Introduction to Complex Analysis

E.M. Chirka,A.G. Vitushkin,P. Dolbeault,G.M. Khenkin
Introduction to Complex Analysis Book PDF

Author : E.M. Chirka,A.G. Vitushkin,P. Dolbeault,G.M. Khenkin
Publisher : Springer Science & Business Media
Page : 252 pages
File Size : 53,6 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783642615252

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Introduction to Complex Analysis by E.M. Chirka,A.G. Vitushkin,P. Dolbeault,G.M. Khenkin Pdf

From the reviews: "... In sum, the volume under review is the first quarter of an important work that surveys an active branch of modern mathematics. Some of the individual articles are reminiscent in style of the early volumes of the first Ergebnisse series and will probably prove to be equally useful as a reference; ...for the appropriate reader, they will be valuable sources of information about modern complex analysis." Bulletin of the Am.Math.Society, 1991 "... This remarkable book has a helpfully informal style, abundant motivation, outlined proofs followed by precise references, and an extensive bibliography; it will be an invaluable reference and a companion to modern courses on several complex variables." ZAMP, Zeitschrift für Angewandte Mathematik und Physik, 1990

Complex Analysis

Theodore W. Gamelin
Complex Analysis Book PDF

Author : Theodore W. Gamelin
Publisher : Springer Science & Business Media
Page : 508 pages
File Size : 45,5 Mb
Release : 2013-11-01
Category : Mathematics
ISBN : 9780387216072

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Complex Analysis by Theodore W. Gamelin Pdf

An introduction to complex analysis for students with some knowledge of complex numbers from high school. It contains sixteen chapters, the first eleven of which are aimed at an upper division undergraduate audience. The remaining five chapters are designed to complete the coverage of all background necessary for passing PhD qualifying exams in complex analysis. Topics studied include Julia sets and the Mandelbrot set, Dirichlet series and the prime number theorem, and the uniformization theorem for Riemann surfaces, with emphasis placed on the three geometries: spherical, euclidean, and hyperbolic. Throughout, exercises range from the very simple to the challenging. The book is based on lectures given by the author at several universities, including UCLA, Brown University, La Plata, Buenos Aires, and the Universidad Autonomo de Valencia, Spain.

Complex Analysis and CR Geometry

Giuseppe Zampieri
Complex Analysis and CR Geometry Book PDF

Author : Giuseppe Zampieri
Publisher : American Mathematical Soc.
Page : 210 pages
File Size : 52,8 Mb
Release : 2008
Category : CR submanifolds
ISBN : 9780821844427

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Complex Analysis and CR Geometry by Giuseppe Zampieri Pdf

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.

Explorations in Complex Analysis

Michael A. Brilleslyper,Michael J. Dorff,Jane M. McDougall,James S. Rolf,Lisbeth E. Schaubroeck
Explorations in Complex Analysis Book PDF

Author : Michael A. Brilleslyper,Michael J. Dorff,Jane M. McDougall,James S. Rolf,Lisbeth E. Schaubroeck
Publisher : American Mathematical Soc.
Page : 373 pages
File Size : 51,5 Mb
Release : 2012-12-31
Category : Mathematics
ISBN : 9781614441083

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Explorations in Complex Analysis by Michael A. Brilleslyper,Michael J. Dorff,Jane M. McDougall,James S. Rolf,Lisbeth E. Schaubroeck Pdf

Research topics in the book include complex dynamics, minimal surfaces, fluid flows, harmonic, conformal, and polygonal mappings, and discrete complex analysis via circle packing. The nature of this book is different from many mathematics texts: the focus is on student-driven and technology-enhanced investigation. Interlaced in the reading for each chapter are examples, exercises, explorations, and projects, nearly all linked explicitly with computer applets for visualization and hands-on manipulation.