-PDF Download- Geometric Function Theory EBOOK

Function Theory of Several Complex Variables

Author: Steven George Krantz

Publisher: American Mathematical Soc.

Published: 2001

Total Pages: 586

ISBN-13: 0821827243

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.

Geometric Function Theory and Non-linear Analysis

Author: Tadeusz Iwaniec

Publisher: Clarendon Press

Published: 2001

Total Pages: 576

ISBN-13: 9780198509295

DOWNLOAD EBOOK →

Iwaniec (math, Syracuse U.) and Martin (math, U. of Auckland) explain recent developments in the geometry of mappings, related to functions or deformations between subsets of the Euclidean n-space Rn and more generally between manifolds or other geometric objects. Material on mappings intersects with aspects of differential geometry, topology, partial differential equations, harmonic analysis, and the calculus of variations. Chapters cover topics such as conformal mappings, stability of the Mobius group, Sobolev theory and function spaces, the Liouville theorem, even dimensions, Picard and Montel theorems in space, uniformly quasiregular mappings, and quasiconformal groups. c. Book News Inc.

Geometric Function Theory

Author: Steven G. Krantz

Publisher: Springer Science & Business Media

Published: 2007-09-19

Total Pages: 311

ISBN-13: 0817644407

DOWNLOAD EBOOK →

* 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

Handbook of Complex Analysis

Author: Reiner Kuhnau

Publisher: Elsevier

Published: 2002-12-05

Total Pages: 549

ISBN-13: 0080532810

DOWNLOAD EBOOK →

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)

Geometric Theory of Functions of a Complex Variable

Author: Gennadiĭ Mikhaĭlovich Goluzin

Publisher: American Mathematical Soc.

Published: 1969

Total Pages: 690

ISBN-13: 9780821886557

DOWNLOAD EBOOK →

Geometric Function Theory in One and Higher Dimensions

Author: Ian Graham

Publisher: CRC Press

Published: 2003-03-18

Total Pages: 572

ISBN-13: 9780203911624

DOWNLOAD EBOOK →

This reference details valuable results that lead to improvements in existence theorems for the Loewner differential equation in higher dimensions, discusses the compactness of the analog of the Caratheodory class in several variables, and studies various classes of univalent mappings according to their geometrical definitions. It introduces the in

Geometric Function Theory in Higher Dimension

Author: Filippo Bracci

Publisher: Springer

Published: 2018-03-24

Total Pages: 182

ISBN-13: 3319731262

DOWNLOAD EBOOK →

The book collects the most relevant outcomes from the INdAM Workshop “Geometric Function Theory in Higher Dimension” held in Cortona on September 5-9, 2016. The Workshop was mainly devoted to discussions of basic open problems in the area, and this volume follows the same line. In particular, it offers a selection of original contributions on Loewner theory in one and higher dimensions, semigroups theory, iteration theory and related topics. Written by experts in geometric function theory in one and several complex variables, it focuses on new research frontiers in this area and on challenging open problems. The book is intended for graduate students and researchers working in complex analysis, several complex variables and geometric function theory.

Geometric Measure Theory

Author: Herbert Federer

Publisher: Springer

Published: 2014-11-25

Total Pages: 694

ISBN-13: 3642620108

DOWNLOAD EBOOK →

"This book is a major treatise in mathematics and is essential in the working library of the modern analyst." (Bulletin of the London Mathematical Society)

Conformal Invariants

Author: Lars V. Ahlfors

Publisher: American Mathematical Soc.

Published:

Total Pages: 177

ISBN-13: 0821869566

DOWNLOAD EBOOK →

Geometric Theory of Generalized Functions with Applications to General Relativity

Author: Michael Grosser

Publisher: Springer Science & Business Media

Published: 2001-11-30

Total Pages: 556

ISBN-13: 9781402001451

DOWNLOAD EBOOK →

This work provides the first comprehensive introduction to the nonlinear theory of generalized functions (in the sense of Colombeau's construction) on differentiable manifolds. Particular emphasis is laid on a diffeomorphism invariant geometric approach to embedding the space of Schwartz distributions into algebras of generalized functions. The foundations of a `nonlinear distributional geometry' are developed, supplying a solid base for an increasing number of applications of algebras of generalized functions to questions of a primarily geometric mature, in particular in mathematical physics. Applications of the resulting theory to symmetry group analysis of differential equations and the theory of general relativity are presented in separate chapters. These features distinguish the present volume from earlier introductory texts and monographs on the subject. Audience: The book will be of interest to graduate students as well as to researchers in functional analysis, partial differential equations, differential geometry, and mathematical physics.