Gamelin, Theodore W.
Overview
Works:  12 works in 147 publications in 3 languages and 3,655 library holdings 

Roles:  Author 
Publication Timeline
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Most widely held works about
Theodore W Gamelin
Most widely held works by
Theodore W Gamelin
Uniform algebras by
Theodore W Gamelin(
Book
)
36 editions published between 1969 and 2005 in 3 languages and held by 684 WorldCat member libraries worldwide
From the Preface: The functionalanalytic approach to uniform algebras is inextricably interwoven with the theory of analytic functions ... [T]he concepts and techniques introduced to deal with these problems [of uniform algebras], such as peak points and parts, provide new insights into the classical theory of approximation by analytic functions. In some cases, elegant proofs of old results are obtained by abstract methods. The new concepts also lead to new problems in classical function theory, which serve to enliven and refresh that subject. In short, the relation between functional analysis and the analytic theory is both fascinating and complex, and it serves to enrich and deepen each of the respective disciplines
36 editions published between 1969 and 2005 in 3 languages and held by 684 WorldCat member libraries worldwide
From the Preface: The functionalanalytic approach to uniform algebras is inextricably interwoven with the theory of analytic functions ... [T]he concepts and techniques introduced to deal with these problems [of uniform algebras], such as peak points and parts, provide new insights into the classical theory of approximation by analytic functions. In some cases, elegant proofs of old results are obtained by abstract methods. The new concepts also lead to new problems in classical function theory, which serve to enliven and refresh that subject. In short, the relation between functional analysis and the analytic theory is both fascinating and complex, and it serves to enrich and deepen each of the respective disciplines
Introduction to topology by
Theodore W Gamelin(
Book
)
23 editions published between 1983 and 2013 in English and held by 603 WorldCat member libraries worldwide
One of the most important milestones in mathematics in the twentieth century was the development of topology as an independent field of study and the subsequent systematic application of topological ideas to other fields of mathematics. While there are many other works on introductory topology, this volume employs a methodology somewhat different from other texts. Metric space and pointset topology material is treated in the first two chapters; algebraic topological material in the remaining two. The authors lead readers through a number of nontrivial applications of metric space topology to analysis, clearly establishing the relevance of topology to analysis. Second, the treatment of topics from elementary algebraic topology concentrates on results with concrete geometric meaning and presents relatively little algebraic formalism; at the same time, this treatment provides proof of some highly nontrivial results. By presenting homotopy theory without considering homology theory, important applications become immediately evident without the necessity of a large formal program. Prerequisites are familiarity with real numbers and some basic set theory. Carefully chosen exercises are integrated into the text (the authors have provided solutions to selected exercises for the Dover edition), while a list of notations and bibliographical references appear at the end of the book
23 editions published between 1983 and 2013 in English and held by 603 WorldCat member libraries worldwide
One of the most important milestones in mathematics in the twentieth century was the development of topology as an independent field of study and the subsequent systematic application of topological ideas to other fields of mathematics. While there are many other works on introductory topology, this volume employs a methodology somewhat different from other texts. Metric space and pointset topology material is treated in the first two chapters; algebraic topological material in the remaining two. The authors lead readers through a number of nontrivial applications of metric space topology to analysis, clearly establishing the relevance of topology to analysis. Second, the treatment of topics from elementary algebraic topology concentrates on results with concrete geometric meaning and presents relatively little algebraic formalism; at the same time, this treatment provides proof of some highly nontrivial results. By presenting homotopy theory without considering homology theory, important applications become immediately evident without the necessity of a large formal program. Prerequisites are familiarity with real numbers and some basic set theory. Carefully chosen exercises are integrated into the text (the authors have provided solutions to selected exercises for the Dover edition), while a list of notations and bibliographical references appear at the end of the book
Complex dynamics by
Lennart Carleson(
Book
)
26 editions published between 1993 and 1995 in English and held by 513 WorldCat member libraries worldwide
Complex dynamics is today very much a focus of interest. Though several fine expository articles were available, by P. Blanchard and by M. Yu. Lyubich in particular, until recently there was no single source where students could find the material with proofs. For anyone in our position, gathering and organizing the material required a great deal of work going through preprints and papers and in some cases even finding a proof. We hope that the results of our efforts will be of help to others who plan to learn about complex dynamics and perhaps even lecture. Meanwhile books in the field a. re beginning to appear. The Stony Brook course notes of J. Milnor were particularly welcome and useful. Still we hope that our special emphasis on the analytic side will satisfy a need. This book is a revised and expanded version of notes based on lectures of the first author at UCLA over several \Vinter Quarters, particularly 1986 and 1990. We owe Chris Bishop a great deal of gratitude for supervising the production of course notes, adding new material, and making computer pictures. We have used his computer pictures, and we will also refer to the attractive color graphics in the popular treatment of H.O. Peitgen and P. Richter. We have benefited from discussions with a number of colleagues, and from suggestions of students in both our courses
26 editions published between 1993 and 1995 in English and held by 513 WorldCat member libraries worldwide
Complex dynamics is today very much a focus of interest. Though several fine expository articles were available, by P. Blanchard and by M. Yu. Lyubich in particular, until recently there was no single source where students could find the material with proofs. For anyone in our position, gathering and organizing the material required a great deal of work going through preprints and papers and in some cases even finding a proof. We hope that the results of our efforts will be of help to others who plan to learn about complex dynamics and perhaps even lecture. Meanwhile books in the field a. re beginning to appear. The Stony Brook course notes of J. Milnor were particularly welcome and useful. Still we hope that our special emphasis on the analytic side will satisfy a need. This book is a revised and expanded version of notes based on lectures of the first author at UCLA over several \Vinter Quarters, particularly 1986 and 1990. We owe Chris Bishop a great deal of gratitude for supervising the production of course notes, adding new material, and making computer pictures. We have used his computer pictures, and we will also refer to the attractive color graphics in the popular treatment of H.O. Peitgen and P. Richter. We have benefited from discussions with a number of colleagues, and from suggestions of students in both our courses
Complex analysis by
Theodore W Gamelin(
Book
)
23 editions published between 2000 and 2009 in English and held by 437 WorldCat member libraries worldwide
The book provides an introduction to complex analysis for students with some familiarity with complex numbers from high school. It conists of sixteen chapters. The first eleven chapters 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 in the book include Julia sets and the Mandelbrot set, Dirichlet series and the prime number theorem, and the uniformization theorem for Riemann surfaces. The three geometries, spherical, euclidean, and hyperbolic, are stressed. Exercises range from the very simple to the quite challenging, in all chapters. The book is based on lectures given over the years by the author at several places, including UCLA, Brown University, the universities at La Plata and Buenos Aires, Argentina; and the Universidad Autonomo de Valencia, Spain
23 editions published between 2000 and 2009 in English and held by 437 WorldCat member libraries worldwide
The book provides an introduction to complex analysis for students with some familiarity with complex numbers from high school. It conists of sixteen chapters. The first eleven chapters 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 in the book include Julia sets and the Mandelbrot set, Dirichlet series and the prime number theorem, and the uniformization theorem for Riemann surfaces. The three geometries, spherical, euclidean, and hyperbolic, are stressed. Exercises range from the very simple to the quite challenging, in all chapters. The book is based on lectures given over the years by the author at several places, including UCLA, Brown University, the universities at La Plata and Buenos Aires, Argentina; and the Universidad Autonomo de Valencia, Spain
Uniform algebras and Jensen measures by
Theodore W Gamelin(
Book
)
26 editions published between 1978 and 2008 in English and Italian and held by 380 WorldCat member libraries worldwide
These lecture notes are devoted to an area of current research interest that bridges functional analysis and function theory
26 editions published between 1978 and 2008 in English and Italian and held by 380 WorldCat member libraries worldwide
These lecture notes are devoted to an area of current research interest that bridges functional analysis and function theory
Lectures on H⁰⁰(D) by
Theodore W Gamelin(
Book
)
3 editions published in 1972 in English and held by 4 WorldCat member libraries worldwide
3 editions published in 1972 in English and held by 4 WorldCat member libraries worldwide
The extension problem for restrictions of functions in a subspaces of C(X) by
Theodore W Gamelin(
)
2 editions published in 1963 in English and held by 4 WorldCat member libraries worldwide
2 editions published in 1963 in English and held by 4 WorldCat member libraries worldwide
Rational approximation theory by
Theodore W Gamelin(
Book
)
2 editions published in 1975 in English and held by 4 WorldCat member libraries worldwide
2 editions published in 1975 in English and held by 4 WorldCat member libraries worldwide
Subharmonicity for uniform algebras by
Theodore W Gamelin(
Book
)
3 editions published in 1978 in English and held by 4 WorldCat member libraries worldwide
3 editions published in 1978 in English and held by 4 WorldCat member libraries worldwide
Funktionenalgebra : 7.9. bis 13.9.1986(
Book
)
1 edition published in 1986 in English and held by 1 WorldCat member library worldwide
1 edition published in 1986 in English and held by 1 WorldCat member library worldwide
Universal hardy class by
Theodore W Gamelin(
Book
)
in English and held by 1 WorldCat member library worldwide
in English and held by 1 WorldCat member library worldwide
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Associated Subjects
Analytic functions Approximation theory Banach algebras Canada Conformal mapping Fixed point theory Function algebras Functions of complex variables Global analysis (Mathematics) Harmonic functions Integrals, Logarithmic Mappings (Mathematics) Mathematical analysis Mathematics Measure theory Numbers, Complex Riemann surfaces Scientists Topological spaces Topology Uniform algebras United States
Alternative Names
Gamelin, T.
Gamelin, T. 1939
Gamelin, T. (Theodore)
Gamelin, T. (Theodore), 1939
Gamelin, T. W.
Gamelin, T. W. 1939
Gamelin, T. W. (Theodore W.)
Gamelin, T. W. (Theodore William), 1939
Gamelin, Theodore W.
Gamelin, Theodore William 1939
Williams Gamelin Theodore
Гамелин, Т..
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