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Author : P. L. Duren
Publisher : Springer Science & Business Media
ISBN 13 : 9780387907956
Total Pages : 416 pages
Book Rating : 4.9/5 (79 download)
Download or read book Univalent Functions written by P. L. Duren and published by Springer Science & Business Media. This book was released on 2001-07-02 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Sheng Gong
Publisher : American Mathematical Soc.
ISBN 13 : 0821827421
Total Pages : 218 pages
Book Rating : 4.8/5 (218 download)
Download or read book The Bieberbach Conjecture written by Sheng Gong and published by American Mathematical Soc.. This book was released on 1999-07-12 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 1919, Bieberbach posed a seemingly simple conjecture. That ``simple'' conjecture challenged mathematicians in complex analysis for the following 68 years! In that time, a huge number of papers discussing the conjecture and its related problems were inspired. Finally in 1984, de Branges completed the solution. In 1989, Professor Gong wrote and published a short book in Chinese, The Bieberbach Conjecture, outlining the history of the related problems and de Branges' proof. The present volume is the English translation of that Chinese edition with modifications by the author. In particular, he includes results related to several complex variables. Open problems and a large number of new mathematical results motivated by the Bieberbach conjecture are included. Completion of a standard one-year graduate complex analysis course will prepare the reader for understanding the book. It would make a nice supplementary text for a topics course at the advanced undergraduate or graduate level.
Author : Albert Baernstein (II)
Publisher : American Mathematical Soc.
ISBN 13 : 0821815210
Total Pages : 238 pages
Book Rating : 4.8/5 (218 download)
Download or read book The Bieberbach Conjecture: Proceedings of the Symposium on the Occasion of the Proof written by Albert Baernstein (II) and published by American Mathematical Soc.. This book was released on 1986 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: Louis de Branges of Purdue University is recognized as the mathematician who proved Bieberbach's conjecture. This book offers insight into the nature of the conjecture, its history and its proof. It is suitable for research mathematicians and analysts.
Author : Isaak Moiseevich Milin
Publisher :
ISBN 13 :
Total Pages : 216 pages
Book Rating : 4.3/5 (91 download)
Download or read book Univalent Functions and Orthonormal Systems written by Isaak Moiseevich Milin and published by . This book was released on 1977 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Derek K. Thomas
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110560968
Total Pages : 268 pages
Book Rating : 4.1/5 (15 download)
Download or read book Univalent Functions written by Derek K. Thomas and published by Walter de Gruyter GmbH & Co KG. This book was released on 2018-04-09 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: The study of univalent functions dates back to the early years of the 20th century, and is one of the most popular research areas in complex analysis. This book is directed at introducing and bringing up to date current research in the area of univalent functions, with an emphasis on the important subclasses, thus providing an accessible resource suitable for both beginning and experienced researchers. Contents Univalent Functions – the Elementary Theory Definitions of Major Subclasses Fundamental Lemmas Starlike and Convex Functions Starlike and Convex Functions of Order α Strongly Starlike and Convex Functions Alpha-Convex Functions Gamma-Starlike Functions Close-to-Convex Functions Bazilevič Functions B1(α) Bazilevič Functions The Class U(λ) Convolutions Meromorphic Univalent Functions Loewner Theory Other Topics Open Problems
Author : Mario Gonzalez
Publisher : Routledge
ISBN 13 : 1351459376
Total Pages : 552 pages
Book Rating : 4.3/5 (514 download)
Download or read book Complex Analysis written by Mario Gonzalez and published by Routledge. This book was released on 2018-03-09 with total page 552 pages. Available in PDF, EPUB and Kindle. Book excerpt: A selection of some important topics in complex analysis, intended as a sequel to the author's Classical complex analysis (see preceding entry). The five chapters are devoted to analytic continuation; conformal mappings, univalent functions, and nonconformal mappings; entire function; meromorphic fu
Author : Peter Henrici
Publisher : John Wiley & Sons
ISBN 13 : 9780471589860
Total Pages : 660 pages
Book Rating : 4.5/5 (898 download)
Download or read book Applied and Computational Complex Analysis, Volume 3 written by Peter Henrici and published by John Wiley & Sons. This book was released on 1993-04-16 with total page 660 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents applications as well as the basic theory of analytic functions of one or several complex variables. The first volume discusses applications and basic theory of conformal mapping and the solution of algebraic and transcendental equations. Volume Two covers topics broadly connected with ordinary differental equations: special functions, integral transforms, asymptotics and continued fractions. Volume Three details discrete fourier analysis, cauchy integrals, construction of conformal maps, univalent functions, potential theory in the plane and polynomial expansions.
Author : Anatoly Golberg
Publisher : Springer Nature
ISBN 13 : 3031254244
Total Pages : 319 pages
Book Rating : 4.0/5 (312 download)
Download or read book Harmonic Analysis and Partial Differential Equations written by Anatoly Golberg and published by Springer Nature. This book was released on 2023-04-26 with total page 319 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over the course of his distinguished career, Vladimir Maz'ya has made a number of groundbreaking contributions to numerous areas of mathematics, including partial differential equations, function theory, and harmonic analysis. The chapters in this volume - compiled on the occasion of his 80th birthday - are written by distinguished mathematicians and pay tribute to his many significant and lasting achievements.
Author : Peter Duren
Publisher : Cambridge University Press
ISBN 13 : 9781139451277
Total Pages : 236 pages
Book Rating : 4.4/5 (512 download)
Download or read book Harmonic Mappings in the Plane written by Peter Duren and published by Cambridge University Press. This book was released on 2004-03-29 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: Harmonic mappings in the plane are univalent complex-valued harmonic functions of a complex variable. Conformal mappings are a special case where the real and imaginary parts are conjugate harmonic functions, satisfying the Cauchy-Riemann equations. Harmonic mappings were studied classically by differential geometers because they provide isothermal (or conformal) parameters for minimal surfaces. More recently they have been actively investigated by complex analysts as generalizations of univalent analytic functions, or conformal mappings. Many classical results of geometric function theory extend to harmonic mappings, but basic questions remain unresolved. This book is the first comprehensive account of the theory of planar harmonic mappings, treating both the generalizations of univalent analytic functions and the connections with minimal surfaces. Essentially self-contained, the book contains background material in complex analysis and a full development of the classical theory of minimal surfaces, including the Weierstrass-Enneper representation. It is designed to introduce non-specialists to a beautiful area of complex analysis and geometry.
Author : Nicholas J. Daras
Publisher : Springer Nature
ISBN 13 : 3031464877
Total Pages : 474 pages
Book Rating : 4.0/5 (314 download)
Download or read book Exploring Mathematical Analysis, Approximation Theory, and Optimization written by Nicholas J. Daras and published by Springer Nature. This book was released on 2024-01-04 with total page 474 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book compiles research and surveys devoted to the areas of mathematical analysis, approximation theory, and optimization. Being dedicated to A.-M. Legendre's work, contributions to this volume are devoted to those branches of mathematics and its applications that have been influenced, directly or indirectly, by the mathematician. Additional contributions provide a historical background as it relates to Legendre's work and its association to the foundation of Greece's higher education. Topics covered in this book include the investigation of the Jensen-Steffensen inequality, Ostrowski and trapezoid type inequalities, a Hilbert-Type Inequality, Hardy’s inequality, dynamic unilateral contact problems, square-free values of a category of integers, a maximum principle for general nonlinear operators, the application of Ergodic Theory to an alternating series expansion for real numbers, bounds for similarity condition numbers of unbounded operators, finite element methods with higher order polynomials, generating functions for the Fubini type polynomials, local asymptotics for orthonormal polynomials, trends in geometric function theory, quasi variational inclusions, Kleene fixed point theorems, ergodic states, spontaneous symmetry breaking and quasi-averages. It is hoped that this book will be of interest to a wide spectrum of readers from several areas of pure and applied sciences, and will be useful to undergraduate students, graduate level students, and researchers who want to be kept up to date on the results and theories in the subjects covered in this volume.
Author : Zhang Wenpeng
Publisher : Infinite Study
ISBN 13 : 1599732319
Total Pages : 126 pages
Book Rating : 4.5/5 (997 download)
Download or read book Scientia Magna, Vol. 9, No. 1, 2013 written by Zhang Wenpeng and published by Infinite Study. This book was released on with total page 126 pages. Available in PDF, EPUB and Kindle. Book excerpt: Papers on Smarandache cyclic determinant natural sequence, Smarandache cyclic arithmetic determinant sequence, Smarandache bisymmetric determinant natural sequence, Smarandache bisymmetric arithmetic determinant sequence, ordered intuitionistic fuzzy smooth quasi uniform disconnected spaces, computing the number of integral points in 4-dimensional ball, open problems on the connected bicritical graphs, right circulant matrices with Perrin sequence, semi normed space defined by entire rate sequences, and similar topics. Contributors: G. Thangaraj, S. Anjalmose, B. S. Mehrok, G. Singh, N. Subramanian, A. Cesar, F. Bueno, A. Al-Omari, S. Modak, N. Selvanayaki, G. Ilango, and others.
Author : Robin Wilson
Publisher : Springer Science & Business Media
ISBN 13 : 1461301955
Total Pages : 486 pages
Book Rating : 4.4/5 (613 download)
Download or read book Mathematical Conversations written by Robin Wilson and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 486 pages. Available in PDF, EPUB and Kindle. Book excerpt: Approximately fifty articles that were published in The Mathematical Intelligencer during its first eighteen years. The selection demonstrates the wide variety of attractive articles that have appeared over the years, ranging from general interest articles of a historical nature to lucid expositions of important current discoveries. Each article is introduced by the editors. "...The Mathematical Intelligencer publishes stylish, well-illustrated articles, rich in ideas and usually short on proofs. ...Many, but not all articles fall within the reach of the advanced undergraduate mathematics major. ... This book makes a nice addition to any undergraduate mathematics collection that does not already sport back issues of The Mathematical Intelligencer." D.V. Feldman, University of New Hamphire, CHOICE Reviews, June 2001.
Author : Sanford L. Segal
Publisher : Elsevier
ISBN 13 : 0080550762
Total Pages : 501 pages
Book Rating : 4.0/5 (85 download)
Download or read book Nine Introductions in Complex Analysis - Revised Edition written by Sanford L. Segal and published by Elsevier. This book was released on 2007-10-10 with total page 501 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book addresses many topics not usually in "second course in complex analysis" texts. It also contains multiple proofs of several central results, and it has a minor historical perspective. - Proof of Bieberbach conjecture (after DeBranges) - Material on asymptotic values - Material on Natural Boundaries - First four chapters are comprehensive introduction to entire and metomorphic functions - First chapter (Riemann Mapping Theorem) takes up where "first courses" usually leave off
Author : Peter Duren
Publisher : Springer Science & Business Media
ISBN 13 : 1461479495
Total Pages : 557 pages
Book Rating : 4.4/5 (614 download)
Download or read book Menahem Max Schiffer: Selected Papers Volume 2 written by Peter Duren and published by Springer Science & Business Media. This book was released on 2013-10-17 with total page 557 pages. Available in PDF, EPUB and Kindle. Book excerpt: This two volume set presents over 50 of the most groundbreaking contributions of Menahem M Schiffer. All of the reprints of Schiffer’s works herein have extensive annotation and invited commentaries, giving new clarity and insight into the impact and legacy of Schiffer's work. A complete bibliography and brief biography make this a rounded and invaluable reference.
Author : Reiner Kuhnau
Publisher : Elsevier
ISBN 13 : 0080532810
Total Pages : 549 pages
Book Rating : 4.0/5 (85 download)
Download or read book Handbook of Complex Analysis written by Reiner Kuhnau and published by Elsevier. This book was released on 2002-12-05 with total page 549 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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)
Author : Prem K. Kythe
Publisher : CRC Press
ISBN 13 : 149871899X
Total Pages : 365 pages
Book Rating : 4.4/5 (987 download)
Download or read book Complex Analysis written by Prem K. Kythe and published by CRC Press. This book was released on 2016-04-19 with total page 365 pages. Available in PDF, EPUB and Kindle. Book excerpt: Complex Analysis: Conformal Inequalities and the Bieberbach Conjecture discusses the mathematical analysis created around the Bieberbach conjecture, which is responsible for the development of many beautiful aspects of complex analysis, especially in the geometric-function theory of univalent functions. Assuming basic knowledge of complex analysis
Author : Binod Chandra Tripathy
Publisher : Springer Nature
ISBN 13 : 9819732387
Total Pages : 209 pages
Book Rating : 4.8/5 (197 download)
Download or read book Operators, Inequalities and Approximation written by Binod Chandra Tripathy and published by Springer Nature. This book was released on with total page 209 pages. Available in PDF, EPUB and Kindle. Book excerpt:
