Duren, Peter L. 1935
Overview
Works:  53 works in 265 publications in 2 languages and 5,410 library holdings 

Genres:  History Conference papers and proceedings Textbooks 
Roles:  Author, Editor, Publisher, Other, htt, Contributor 
Classifications:  QA331, 515.9 
Publication Timeline
.
Most widely held works by
Peter L Duren
Harmonic mappings in the plane by
Peter L Duren(
)
18 editions published in 2004 in English and held by 1,192 WorldCat member libraries worldwide
Harmonic mappings in the plane are univalent complexvalued harmonic functions of a complex variable. Conformal mappings are a special case where the real and imaginary parts are conjugate harmonic functions, satisfying the CauchyRiemann 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 selfcontained, the book contains background material in complex analysis and a full development of the classical theory of minimal surfaces, including the WeierstrassEnneper representation. It is designed to introduce nonspecialists to a beautiful area of complex analysis and geometry
18 editions published in 2004 in English and held by 1,192 WorldCat member libraries worldwide
Harmonic mappings in the plane are univalent complexvalued harmonic functions of a complex variable. Conformal mappings are a special case where the real and imaginary parts are conjugate harmonic functions, satisfying the CauchyRiemann 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 selfcontained, the book contains background material in complex analysis and a full development of the classical theory of minimal surfaces, including the WeierstrassEnneper representation. It is designed to introduce nonspecialists to a beautiful area of complex analysis and geometry
Theory of H[superscript p] spaces by
Peter L Duren(
Book
)
31 editions published between 1970 and 2014 in English and Undetermined and held by 870 WorldCat member libraries worldwide
<![CDATA[Theory of H[superscript p] spaces]]>
31 editions published between 1970 and 2014 in English and Undetermined and held by 870 WorldCat member libraries worldwide
<![CDATA[Theory of H[superscript p] spaces]]>
A Century of mathematics in America by
Peter L Duren(
Book
)
14 editions published between 1988 and 1989 in English and held by 612 WorldCat member libraries worldwide
14 editions published between 1988 and 1989 in English and held by 612 WorldCat member libraries worldwide
Univalent functions by
Peter L Duren(
Book
)
13 editions published between 1983 and 2010 in English and held by 532 WorldCat member libraries worldwide
13 editions published between 1983 and 2010 in English and held by 532 WorldCat member libraries worldwide
Menahem Max Schiffer. selected papers by
Menahem Schiffer(
)
15 editions published between 2013 and 2016 in English and held by 453 WorldCat member libraries worldwide
M. M. Schiffer, the dominant figure in geometric function theory in the second half of the twentieth century, was a mathematician of exceptional breadth, whose work ranged over such areas as univalent functions, conformal mapping, Riemann surfaces, partial differential equations, potential theory, fluid dynamics, and the theory of relativity. He is best remembered for the powerful variational methods he developed and applied to extremal problems in a wide variety of scientific fields Spanning seven decades, the papers collected in these two volumes represent some of Schiffer's most enduring innovations. Expert commentaries provide valuable background and survey subsequent developments. Also included are a complete bibliography and several appreciations of Schiffer's influence by collaborators and other admirers
15 editions published between 2013 and 2016 in English and held by 453 WorldCat member libraries worldwide
M. M. Schiffer, the dominant figure in geometric function theory in the second half of the twentieth century, was a mathematician of exceptional breadth, whose work ranged over such areas as univalent functions, conformal mapping, Riemann surfaces, partial differential equations, potential theory, fluid dynamics, and the theory of relativity. He is best remembered for the powerful variational methods he developed and applied to extremal problems in a wide variety of scientific fields Spanning seven decades, the papers collected in these two volumes represent some of Schiffer's most enduring innovations. Expert commentaries provide valuable background and survey subsequent developments. Also included are a complete bibliography and several appreciations of Schiffer's influence by collaborators and other admirers
Golden years of Moscow mathematics by
Smilka Zdravkovska(
Book
)
17 editions published between 1991 and 2007 in English and Russian and held by 451 WorldCat member libraries worldwide
This volume contains articles on the history of Soviet mathematics, many of which are personal accounts by mathematicians who witnessed and contributed to the turbulent and glorious years of Moscow mathematics. The articles in the book focus on mathematical developments in that era, the personal lives of Russian mathematicians, and political events that shaped the course of scientific work in the Soviet Union. Important contributions include an article about Luzin and his school, based in part on documents that were released only after perestroika, and two articles on Kolmogorov. The volume co
17 editions published between 1991 and 2007 in English and Russian and held by 451 WorldCat member libraries worldwide
This volume contains articles on the history of Soviet mathematics, many of which are personal accounts by mathematicians who witnessed and contributed to the turbulent and glorious years of Moscow mathematics. The articles in the book focus on mathematical developments in that era, the personal lives of Russian mathematicians, and political events that shaped the course of scientific work in the Soviet Union. Important contributions include an article about Luzin and his school, based in part on documents that were released only after perestroika, and two articles on Kolmogorov. The volume co
Bergman spaces by
Peter L Duren(
Book
)
15 editions published between 2004 and 2014 in English and held by 404 WorldCat member libraries worldwide
"In this book, the authors develop background material and provide a selfcontained introduction to a broad range of topics, including recent advances on interpolation and sampling, contractive zerodivisors, and invariant subspaces. The book is accessible to researchers and advanced graduate students who have studied basic complex function theory, measure theory, and functional analysis."Jacket
15 editions published between 2004 and 2014 in English and held by 404 WorldCat member libraries worldwide
"In this book, the authors develop background material and provide a selfcontained introduction to a broad range of topics, including recent advances on interpolation and sampling, contractive zerodivisors, and invariant subspaces. The book is accessible to researchers and advanced graduate students who have studied basic complex function theory, measure theory, and functional analysis."Jacket
Quasiconformal mappings and analysis : a collection of papers honoring F.W. Gehring by
Peter L Duren(
Book
)
10 editions published between 1997 and 1998 in English and held by 237 WorldCat member libraries worldwide
This book comprises a broad selection of expository articles that were written in conjunction with an international conference held to honor F.W. Gehring on the occasion of his 70th birthday. The objective of both the symposium and the present volume was to survey a wide array of topics related to Gehring's fundamental research in the field of quasiconformal mappings, emphasizing the relation of these mappings to other areas of analysis. The book begins with a short biographical sketch and an overview of Gehring's mathematical achievements, including a complete list of his publications. This is followed by Olli Lehto's account of Gehring's careerlong involvement with the Finnish mathematical community and his role in the evolution of the Finnish school of quasiconformal mapping. The remaining articles, written by prominent authorities in diverse branches of analysis, are arranged alphabetically. The principal speakers at the symposium were: Astala, Baernstein Earle, Jones, Kra, Lehto, Martin, Sullivan, and Va"isa"la". Other individuals, some unable to attend the conference, were invited to contribute articles to the volume, which should give readers new insights into numerous aspects of quasiconformal mappings and their applications to other fields of mathematical analysis. Friends and colleagues of Professor Gehring will be especially interested in the personal accounts of his mathematical career and the descriptions of his many important research contributions
10 editions published between 1997 and 1998 in English and held by 237 WorldCat member libraries worldwide
This book comprises a broad selection of expository articles that were written in conjunction with an international conference held to honor F.W. Gehring on the occasion of his 70th birthday. The objective of both the symposium and the present volume was to survey a wide array of topics related to Gehring's fundamental research in the field of quasiconformal mappings, emphasizing the relation of these mappings to other areas of analysis. The book begins with a short biographical sketch and an overview of Gehring's mathematical achievements, including a complete list of his publications. This is followed by Olli Lehto's account of Gehring's careerlong involvement with the Finnish mathematical community and his role in the evolution of the Finnish school of quasiconformal mapping. The remaining articles, written by prominent authorities in diverse branches of analysis, are arranged alphabetically. The principal speakers at the symposium were: Astala, Baernstein Earle, Jones, Kra, Lehto, Martin, Sullivan, and Va"isa"la". Other individuals, some unable to attend the conference, were invited to contribute articles to the volume, which should give readers new insights into numerous aspects of quasiconformal mappings and their applications to other fields of mathematical analysis. Friends and colleagues of Professor Gehring will be especially interested in the personal accounts of his mathematical career and the descriptions of his many important research contributions
Invitation to classical analysis by
Peter L Duren(
Book
)
7 editions published in 2012 in English and held by 212 WorldCat member libraries worldwide
This book gives a rigorous treatment of selected topics in classical analysis, with many applications and examples. The exposition is at the undergraduate level, building on basic principles of advanced calculus without appeal to more sophisticated techniques of complex analysis and Lebesgue integration. Among the topics covered are Fourier series and integrals, approximation theory, Stirling's formula, the gamma function, Bernoulli numbers and polynomials, the Riemann zeta function, Tauberian theorems, elliptic integrals, ramifications of the Cantor set, and a theoretical discussion of differential equations including power series solutions at regular singular points, Bessel functions, hypergeometric functions, and Sturm comparison theory. Preliminary chapters offer rapid reviews of basic principles and further background material such as infinite products and commonly applied inequalities. This book is designed for individual study but can also serve as a text for secondsemester courses in advanced calculus. Each chapter concludes with an abundance of exercises. Historical notes discuss the evolution of mathematical ideas and their relevance to physical applications. Special features are capsule scientific biographies of the major players and a gallery of portraits. Although this book is designed for undergraduate students, others may find it an accessible source of information on classical topics that underlie modern developments in pure and applied mathematics. Publisher description
7 editions published in 2012 in English and held by 212 WorldCat member libraries worldwide
This book gives a rigorous treatment of selected topics in classical analysis, with many applications and examples. The exposition is at the undergraduate level, building on basic principles of advanced calculus without appeal to more sophisticated techniques of complex analysis and Lebesgue integration. Among the topics covered are Fourier series and integrals, approximation theory, Stirling's formula, the gamma function, Bernoulli numbers and polynomials, the Riemann zeta function, Tauberian theorems, elliptic integrals, ramifications of the Cantor set, and a theoretical discussion of differential equations including power series solutions at regular singular points, Bessel functions, hypergeometric functions, and Sturm comparison theory. Preliminary chapters offer rapid reviews of basic principles and further background material such as infinite products and commonly applied inequalities. This book is designed for individual study but can also serve as a text for secondsemester courses in advanced calculus. Each chapter concludes with an abundance of exercises. Historical notes discuss the evolution of mathematical ideas and their relevance to physical applications. Special features are capsule scientific biographies of the major players and a gallery of portraits. Although this book is designed for undergraduate students, others may find it an accessible source of information on classical topics that underlie modern developments in pure and applied mathematics. Publisher description
Menahem Max Schiffer : Selected Papers Volume 2 by
Peter L Duren(
)
11 editions published between 2013 and 2014 in English and Undetermined and held by 88 WorldCat member libraries worldwide
M.M. Schiffer, the dominant figure in geometric function theory in the second half of the twentieth century, was a mathematician of exceptional breadth, whose work ranged over such areas as univalent functions, conformal mapping, Riemann surfaces, partial differential equations, potential theory, fluid dynamics, and the theory of relativity. He is best remembered for the powerful variational methods he developed and applied to extremal problems in a wide variety of scientific fields Spanning seven decades, the papers collected in these two volumes represent some of Schiffer's most enduring innovations. Expert commentaries provide valuable background and survey subsequent developments. Also included are a complete bibliography and several appreciations of Schiffer's influence by collaborators and other admirers
11 editions published between 2013 and 2014 in English and Undetermined and held by 88 WorldCat member libraries worldwide
M.M. Schiffer, the dominant figure in geometric function theory in the second half of the twentieth century, was a mathematician of exceptional breadth, whose work ranged over such areas as univalent functions, conformal mapping, Riemann surfaces, partial differential equations, potential theory, fluid dynamics, and the theory of relativity. He is best remembered for the powerful variational methods he developed and applied to extremal problems in a wide variety of scientific fields Spanning seven decades, the papers collected in these two volumes represent some of Schiffer's most enduring innovations. Expert commentaries provide valuable background and survey subsequent developments. Also included are a complete bibliography and several appreciations of Schiffer's influence by collaborators and other admirers
A Century of mathematics in America by
Peter L Duren(
Book
)
18 editions published between 1900 and 1991 in English and held by 62 WorldCat member libraries worldwide
18 editions published between 1900 and 1991 in English and held by 62 WorldCat member libraries worldwide
The Bieberbach conjecture : proceedings of the Symposium on the Occasion of the Proof by
Albert Baernstein(
)
7 editions published between 1986 and 2014 in English and held by 48 WorldCat member libraries worldwide
7 editions published between 1986 and 2014 in English and held by 48 WorldCat member libraries worldwide
Menahem Max Schiffer : selected papers by
Menahem Schiffer(
Book
)
3 editions published in 2013 in English and held by 25 WorldCat member libraries worldwide
M.M. Schiffer, the dominant figure in geometric function theory in the second half of the twentieth century, was a mathematician of exceptional breadth, whose work ranged over such areas as univalent functions, conformal mapping, Riemann surfaces, partial differential equations, potential theory, fluid dynamics, and the theory of relativity. He is best remembered for the powerful variational methods he developed and applied to extremal problems in a wide variety of scientific fields Spanning seven decades, the papers collected in these two volumes represent some of Schiffer's most enduring innovations. Expert commentaries provide valuable background and survey subsequent developments. Also included are a complete bibliography and several appreciations of Schiffer's influence by collaborators and other admirers
3 editions published in 2013 in English and held by 25 WorldCat member libraries worldwide
M.M. Schiffer, the dominant figure in geometric function theory in the second half of the twentieth century, was a mathematician of exceptional breadth, whose work ranged over such areas as univalent functions, conformal mapping, Riemann surfaces, partial differential equations, potential theory, fluid dynamics, and the theory of relativity. He is best remembered for the powerful variational methods he developed and applied to extremal problems in a wide variety of scientific fields Spanning seven decades, the papers collected in these two volumes represent some of Schiffer's most enduring innovations. Expert commentaries provide valuable background and survey subsequent developments. Also included are a complete bibliography and several appreciations of Schiffer's influence by collaborators and other admirers
A century of mathematics in America by
Peter L Duren(
Book
)
13 editions published between 1988 and 1992 in English and held by 23 WorldCat member libraries worldwide
13 editions published between 1988 and 1992 in English and held by 23 WorldCat member libraries worldwide
A century of mathematics in America by
Peter L Duren(
Book
)
9 editions published between 1988 and 1991 in English and held by 20 WorldCat member libraries worldwide
9 editions published between 1988 and 1991 in English and held by 20 WorldCat member libraries worldwide
Schwarzian derivatives and homeomorphic extensions by
Peter L Duren(
Book
)
1 edition published in 1970 in English and held by 20 WorldCat member libraries worldwide
1 edition published in 1970 in English and held by 20 WorldCat member libraries worldwide
Theory of Hp spaces, 38 by
Peter L Duren(
)
1 edition published in 1970 in English and held by 18 WorldCat member libraries worldwide
Theory of H[superscript p] spaces
1 edition published in 1970 in English and held by 18 WorldCat member libraries worldwide
Theory of H[superscript p] spaces
Schwarzian derivatives and homeomorphic extensions by
Peter L Duren(
Book
)
1 edition published in 1970 in English and held by 15 WorldCat member libraries worldwide
1 edition published in 1970 in English and held by 15 WorldCat member libraries worldwide
Invitation to classical analysis by
Peter L Duren(
Book
)
4 editions published in 2012 in English and held by 13 WorldCat member libraries worldwide
4 editions published in 2012 in English and held by 13 WorldCat member libraries worldwide
Century of mathematics in America by
P Duren(
Book
)
2 editions published between 1988 and 1989 in English and held by 10 WorldCat member libraries worldwide
2 editions published between 1988 and 1989 in English and held by 10 WorldCat member libraries worldwide
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Related Identities
 Askey, Richard Other Editor
 Merzbach, Uta C. 1933 Editor
 Edwards, Harold M. Editor
 Zalcman, Lawrence Allen Other Author Editor
 Schiffer, Menahem Author
 Zdravkovska, Smilka 1947 Other Author Editor
 Schuster, Alexander 1968
 Gehring, Frederick W. Other
 American Mathematical Society Publisher
 Heinonen, Juha Editor
Useful Links
Associated Subjects
Analytic functions Bergman spaces Bieberbach, Ludwig, Bieberbach conjecture Calculus of variations Conformal mapping Functional analysis Functions of complex variables Geometric function theory Global analysis (Mathematics) Hardy spaces Harmonic maps History Influence (Literary, artistic, etc.) Mappings (Mathematics) Mathematical analysis Mathematical optimization Mathematics Quasiconformal mappings Russia (Federation)Moscow United States Univalent functions
Covers
Alternative Names
Duren, P. L.
Duren, P. L. 1935
Duren Peter
Duren, Peter 1935
Duren, Peter L.
Duren, Peter L. 1935...
Duren, Peter Larkin 1935
Peter Duren Amerikaans wiskundige
Peter Duren USamerikanischer Mathematiker
Peter Duren writer of monographs and textbooks
Languages