Gamelin, Theodore W.
Overview
Works:  12 works in 129 publications in 3 languages and 2,437 library holdings 

Roles:  Author 
Classifications:  QA326, 512.55 
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 688 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 688 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
Complex dynamics by
Lennart Carleson(
Book
)
24 editions published between 1993 and 1995 in English and held by 502 WorldCat member libraries worldwide
Complex Dynamics discusses the properties of conformal mappings in the complex plane, a subject that is closely connected to the study of fractals and chaos. Indeed the culmination of the book is a detailed study of the famous Mandelbrot set, which describes very general properties of such mappings. The book focuses on the analytic side of this contemporary subject. The text was developed out of a course taught over several semesters; its focus is to help students and instructors to familiarize themselves with complex dynamics. Topics covered include: conformal and quasiconformal mappings, fixed points and conjugations, basic rational iteration (the Julia set), classification of periodic components, critical points and expanding maps, some applications of conformal mappings (e.g. Hermann rings), the local geometry of the Fatou set, and quadratic polynomials and the Mandelbrot set
24 editions published between 1993 and 1995 in English and held by 502 WorldCat member libraries worldwide
Complex Dynamics discusses the properties of conformal mappings in the complex plane, a subject that is closely connected to the study of fractals and chaos. Indeed the culmination of the book is a detailed study of the famous Mandelbrot set, which describes very general properties of such mappings. The book focuses on the analytic side of this contemporary subject. The text was developed out of a course taught over several semesters; its focus is to help students and instructors to familiarize themselves with complex dynamics. Topics covered include: conformal and quasiconformal mappings, fixed points and conjugations, basic rational iteration (the Julia set), classification of periodic components, critical points and expanding maps, some applications of conformal mappings (e.g. Hermann rings), the local geometry of the Fatou set, and quadratic polynomials and the Mandelbrot set
Complex analysis by
Theodore W Gamelin(
Book
)
24 editions published between 2000 and 2009 in English and held by 431 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
24 editions published between 2000 and 2009 in English and held by 431 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
)
11 editions published between 1978 and 2008 in English and Italian and held by 13 WorldCat member libraries worldwide
These lecture notes are devoted to an area of current research interest that bridges functional analysis and function theory
11 editions published between 1978 and 2008 in English and Italian and held by 13 WorldCat member libraries worldwide
These lecture notes are devoted to an area of current research interest that bridges functional analysis and function theory
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
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
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
Audience Level
0 

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Kids  General  Special 
Related Identities
 Greene, Robert Everist 1943
 Carleson, Lennart Author
 Sibony, N.
 SpringerVerlag (Nowy Jork) Publisher
 Gorin, Evgenij Alekseevič (1936 ).
 Izdatel'stvo "Mir" (Moskwa) Publisher
 König, Heinz
 Cambridge University Press Publisher
 Sibony, Nessim
 Dover Publications Publisher
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 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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