The Geometry Of The Complex Domain

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The Geometry Of Complex Domains

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Author : Robert E. Greene
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-05-18

The Geometry Of Complex Domains written by Robert E. Greene and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-05-18 with Mathematics categories.

This work examines a rich tapestry of themes and concepts and provides a comprehensive treatment of an important area of mathematics, while simultaneously covering a broader area of the geometry of domains in complex space. At once authoritative and accessible, this text touches upon many important parts of modern mathematics: complex geometry, equivalent embeddings, Bergman and Kahler geometry, curvatures, differential invariants, boundary asymptotics of geometries, group actions, and moduli spaces. The Geometry of Complex Domains can serve as a “coming of age” book for a graduate student who has completed at least one semester or more of complex analysis, and will be most welcomed by analysts and geometers engaged in current research.

The Geometry Of The Complex Domain

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Author : Julian Lowell Coolidge
language : en
Publisher:
Release Date : 1969

The Geometry Of The Complex Domain written by Julian Lowell Coolidge and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1969 with Collineation categories.

Geometry Of Complex Numbers

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Author : Hans Schwerdtfeger
language : en
Publisher: Courier Corporation
Release Date : 2012-05-23

Geometry Of Complex Numbers written by Hans Schwerdtfeger and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-05-23 with Mathematics categories.

Illuminating, widely praised book on analytic geometry of circles, the Moebius transformation, and 2-dimensional non-Euclidean geometries.

The Geometry Of The Complex Domain

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Author : Julian Lowell Coolidge
language : en
Publisher:
Release Date : 1924

The Geometry Of The Complex Domain written by Julian Lowell Coolidge and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1924 with Collineation categories.

Microdifferential Systems In The Complex Domain

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Author : P. Schapira
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Microdifferential Systems In The Complex Domain written by P. Schapira and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.

The words "microdifferential systems in the complex domain" refer to seve ral branches of mathematics: micro local analysis, linear partial differential equations, algebra, and complex analysis. The microlocal point of view first appeared in the study of propagation of singularities of differential equations, and is spreading now to other fields of mathematics such as algebraic geometry or algebraic topology. How ever it seems that many analysts neglect very elementary tools of algebra, which forces them to confine themselves to the study of a single equation or particular square matrices, or to carryon heavy and non-intrinsic formula tions when studying more general systems. On the other hand, many alge braists ignore everything about partial differential equations, such as for example the "Cauchy problem", although it is a very natural and geometri cal setting of "inverse image". Our aim will be to present to the analyst the algebraic methods which naturally appear in such problems, and to make available to the algebraist some topics from the theory of partial differential equations stressing its geometrical aspects. Keeping this goal in mind, one can only remain at an elementary level.

The Geometry Of The Complex Domain Classic Reprint

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Author : Julian Lowell Coolidge
language : en
Publisher: Forgotten Books
Release Date : 2018-03-06

The Geometry Of The Complex Domain Classic Reprint written by Julian Lowell Coolidge and has been published by Forgotten Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-03-06 with Mathematics categories.

Excerpt from The Geometry of the Complex Domain As an example of (a) we may ask how to find a geometrical representation of the complex points of a line, a circle, or a plane. Question (b) leads to mathematical considerations of a very different order. We usually assume that whatever is true in the real domain is true in the complex one also the properties of the complex portion of a curve are inferred from those of its real trace. If we are asked for our grounds for this erroneous belief, we are inclined to reply Continuity' or 'analytic continuation' or what not. But these vague generalities do not by any means exhaust the question. There are more things in Heaven and Earth than are dreamt of in our philosophy of reals. What, for instance, can be said about the totality of points in the plane such that the sum of the squares of the absolute values of their distances from two mutually perpendicular lines is equal to unity? This is a very numerous family of points indeed, depending on no less than three real parameters, so that it is not contained completely in any one curve, nor is any one curve contained completely therein; it is an absolutely different variety from any curve or system of curves in the plane. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

Nonlinear Semigroups Fixed Points And Geometry Of Domains In Banach Spaces

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Author : Simeon Reich
language : en
Publisher: Imperial College Press
Release Date : 2005

Nonlinear Semigroups Fixed Points And Geometry Of Domains In Banach Spaces written by Simeon Reich and has been published by Imperial College Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Mathematics categories.

Nonlinear semigroup theory is not only of intrinsic interest, but is also important in the study of evolution problems. In the last forty years, the generation theory of flows of holomorphic mappings has been of great interest in the theory of Markov stochastic branching processes, the theory of composition operators, control theory, and optimization. It transpires that the asymptotic behavior of solutions to evolution equations is applicable to the study of the geometry of certain domains in complex spaces.Readers are provided with a systematic overview of many results concerning both nonlinear semigroups in metric and Banach spaces and the fixed point theory of mappings, which are nonexpansive with respect to hyperbolic metrics (in particular, holomorphic self-mappings of domains in Banach spaces). The exposition is organized in a readable and intuitive manner, presenting basic functional and complex analysis as well as very recent developments.

Analysis And Geometry On Complex Homogeneous Domains

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Author : Jacques Faraut
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Analysis And Geometry On Complex Homogeneous Domains written by Jacques Faraut and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.

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 The Geometry Of Complex Numbers

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Author : Roland Deaux
language : en
Publisher: Courier Corporation
Release Date : 2013-01-23

Introduction To The Geometry Of Complex Numbers written by Roland Deaux and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-01-23 with Mathematics categories.

Geared toward readers unfamiliar with complex numbers, this text explains how to solve problems that frequently arise in the applied sciences and emphasizes constructions related to algebraic operations. 1956 edition.

The Geometric Theory Of Complex Variables

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Author : Peter V. Dovbush
language : en
Publisher: Springer Nature
Release Date : 2025-01-28

The Geometric Theory Of Complex Variables written by Peter V. Dovbush and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-01-28 with Mathematics categories.

This book provides the reader with a broad introduction to the geometric methodology in complex analysis. It covers both single and several complex variables, creating a dialogue between the two viewpoints. Regarded as one of the 'grand old ladies' of modern mathematics, complex analysis traces its roots back 500 years. The subject began to flourish with Carl Friedrich Gauss's thesis around 1800. The geometric aspects of the theory can be traced back to the Riemann mapping theorem around 1850, with a significant milestone achieved in 1938 with Lars Ahlfors's geometrization of complex analysis. These ideas inspired many other mathematicians to adopt this perspective, leading to the proliferation of geometric theory of complex variables in various directions, including Riemann surfaces, Teichmüller theory, complex manifolds, extremal problems, and many others. This book explores all these areas, with classical geometric function theory as its main focus. Its accessible and gentle approach makes it suitable for advanced undergraduate and graduate students seeking to understand the connections among topics usually scattered across numerous textbooks, as well as experienced mathematicians with an interest in this rich field.