Marden, Albert
Overview
Works:  16 works in 59 publications in 2 languages and 1,373 library holdings 

Genres:  Conference papers and proceedings Educational films Short films 
Roles:  Author, Editor 
Classifications:  QA331, 515 
Publication Timeline
.
Most widely held works by
Albert Marden
Outer circles : an introduction to hyperbolic 3manifolds by
Albert Marden(
Book
)
14 editions published in 2007 in English and Spanish and held by 302 WorldCat member libraries worldwide
We live in a threedimensional space; what sort of space is it? Can we build it from simple geometric objects? The answers to such questions have been found in the last 30 years, and Outer Circles describes the basic mathematics needed for those answers as well as making clear the grand design of the subject of hyperbolic manifolds as a whole. The purpose of Outer Circles is to provide an account of the contemporary theory, accessible to those with minimal formal background in topology, hyperbolic geometry, and complex analysis. The text explains what is needed, and provides the expertise to use the primary tools to arrive at a thorough understanding of the big picture. This picture is further filled out by numerous exercises and expositions at the ends of the chapters and is complemented by a profusion of high quality illustrations. There is an extensive bibliography for further study
14 editions published in 2007 in English and Spanish and held by 302 WorldCat member libraries worldwide
We live in a threedimensional space; what sort of space is it? Can we build it from simple geometric objects? The answers to such questions have been found in the last 30 years, and Outer Circles describes the basic mathematics needed for those answers as well as making clear the grand design of the subject of hyperbolic manifolds as a whole. The purpose of Outer Circles is to provide an account of the contemporary theory, accessible to those with minimal formal background in topology, hyperbolic geometry, and complex analysis. The text explains what is needed, and provides the expertise to use the primary tools to arrive at a thorough understanding of the big picture. This picture is further filled out by numerous exercises and expositions at the ends of the chapters and is complemented by a profusion of high quality illustrations. There is an extensive bibliography for further study
Fundamentals of hyperbolic geometry : selected expositions(
Book
)
10 editions published in 2006 in English and held by 227 WorldCat member libraries worldwide
"Here are reissued articles from two classic sources on hyperbolic manifolds. The book covers the basic properties, and explains the mathematical framework for understanding the 3dimensional spaces that support a hyperbolic metric. Part I is an exposition of Chapters 8 and 9 of Thurston's pioneering Princeton Notes; in addition, there is a new introduction describing recent advances, with an uptodate bibliography, giving a contemporary context in which the classic articles can be set."Jacket
10 editions published in 2006 in English and held by 227 WorldCat member libraries worldwide
"Here are reissued articles from two classic sources on hyperbolic manifolds. The book covers the basic properties, and explains the mathematical framework for understanding the 3dimensional spaces that support a hyperbolic metric. Part I is an exposition of Chapters 8 and 9 of Thurston's pioneering Princeton Notes; in addition, there is a new introduction describing recent advances, with an uptodate bibliography, giving a contemporary context in which the classic articles can be set."Jacket
Hyperbolic manifolds : an introduction in 2 and 3 dimensions by
Albert Marden(
Book
)
11 editions published between 2015 and 2016 in English and held by 86 WorldCat member libraries worldwide
Over the past three decades there has been a total revolution in the classic branch of mathematics called 3dimensional topology, namely the discovery that most solid 3dimensional shapes are hyperbolic 3manifolds. This book introduces and explains hyperbolic geometry and hyperbolic 3 and 2dimensional manifolds in the first two chapters and then goes on to develop the subject. The author discusses the profound discoveries of the astonishing features of these 3manifolds, helping the reader to understand them without going into long, detailed formal proofs. The book is heavily illustrated with pictures, mostly in color, that help explain the manifold properties described in the text. Each chapter ends with a set of exercises and explorations that both challenge the reader to prove assertions made in the text, and suggest further topics to explore that bring additional insight. There is an extensive index and bibliography
11 editions published between 2015 and 2016 in English and held by 86 WorldCat member libraries worldwide
Over the past three decades there has been a total revolution in the classic branch of mathematics called 3dimensional topology, namely the discovery that most solid 3dimensional shapes are hyperbolic 3manifolds. This book introduces and explains hyperbolic geometry and hyperbolic 3 and 2dimensional manifolds in the first two chapters and then goes on to develop the subject. The author discusses the profound discoveries of the astonishing features of these 3manifolds, helping the reader to understand them without going into long, detailed formal proofs. The book is heavily illustrated with pictures, mostly in color, that help explain the manifold properties described in the text. Each chapter ends with a set of exercises and explorations that both challenge the reader to prove assertions made in the text, and suggest further topics to explore that bring additional insight. There is an extensive index and bibliography
The weakly reproducing differentials on open Riemann surfaces by
Albert Marden(
Book
)
3 editions published in 1965 in English and held by 28 WorldCat member libraries worldwide
3 editions published in 1965 in English and held by 28 WorldCat member libraries worldwide
The Bieberbach conjecture : proceedings of the Symposium on the Occasion of the Proof by
Albert Baernstein(
Book
)
5 editions published in 1986 in English and held by 18 WorldCat member libraries worldwide
5 editions published in 1986 in English and held by 18 WorldCat member libraries worldwide
Fundamentals of hyperbolic geometry : selected expositions(
)
1 edition published in 2006 in English and held by 4 WorldCat member libraries worldwide
Presents reissued articles from two classic sources on hyperbolic manifolds. Part I is an exposition of Chapters 8 and 9 of Thurston's pioneering Princeton Notes; there is a new introduction describing recent advances, with an uptodate bibliography, giving a contemporary context in which the work can be set. Part II expounds the theory of convex hull boundaries and their bending laminations. A new appendix describes recent work. Part III is Thurston's famous paper that presents the notion of earthquakes in hyperbolic geometry and proves the earthquake theorem. The final part introduces the theory of measures on the limit set, drawing attention to related ergodic theory and the exponent of convergence. The book will be welcomed by graduate students and professional mathematicians who want a rigorous introduction to some basic tools essential for the modern theory of hyperbolic manifolds
1 edition published in 2006 in English and held by 4 WorldCat member libraries worldwide
Presents reissued articles from two classic sources on hyperbolic manifolds. Part I is an exposition of Chapters 8 and 9 of Thurston's pioneering Princeton Notes; there is a new introduction describing recent advances, with an uptodate bibliography, giving a contemporary context in which the work can be set. Part II expounds the theory of convex hull boundaries and their bending laminations. A new appendix describes recent work. Part III is Thurston's famous paper that presents the notion of earthquakes in hyperbolic geometry and proves the earthquake theorem. The final part introduces the theory of measures on the limit set, drawing attention to related ergodic theory and the exponent of convergence. The book will be welcomed by graduate students and professional mathematicians who want a rigorous introduction to some basic tools essential for the modern theory of hyperbolic manifolds
Algebraic and geometric convergence of Kleinian groups by T Jorgensen(
Book
)
1 edition published in 1986 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1986 in English and held by 2 WorldCat member libraries worldwide
Holomorphic functions and moduli : proceedings of a workshop held March 1319, 1986 by
D Drasin(
Book
)
3 editions published in 1988 in English and held by 2 WorldCat member libraries worldwide
The Spring 1986 Program in Geometric Function Theory (GFT) at the Mathematical Sciences Research Institute (MSRI) brought together mathe maticians interested in Teichmiiller theory, quasiconformal mappings, Kleinian groups, univalent functions and value distribution. It included a large and stimulating Workshop, preceded by a miniconference on String Theory attended by both mathematicians and physicists. These activities produced interesting results and fruitful interactions among the partici pants. These volumes represent only a portion of the papers that will even tually result from ideas developed in the offices and corridors of MSRI's elegant home. The Editors solicited contributions from all participants in the Program whether or not they gave a talk at the Workshop. Papers were also submit ted by mathematicians invited but unable to attend. All manuscripts were refereed. The articles included here cover a broad spectrum, representative of the activities during the semester. We have made an attempt to group them by subject, for the reader's convenience. The Editors take pleasure in thanking all participants, authors and ref erees for their work in producing these volumes. We are also grateful to the Scientific Advisory Council of MSRI for sup porting the Program in GFT. Finally thanks are due to the National Sci ence Foundation and those Universities (including Cornell, Michigan, Min nesota, Rutgers Newark, SUNY Stony Brook) who gave released time to faculty members to participate for extended periods in this program
3 editions published in 1988 in English and held by 2 WorldCat member libraries worldwide
The Spring 1986 Program in Geometric Function Theory (GFT) at the Mathematical Sciences Research Institute (MSRI) brought together mathe maticians interested in Teichmiiller theory, quasiconformal mappings, Kleinian groups, univalent functions and value distribution. It included a large and stimulating Workshop, preceded by a miniconference on String Theory attended by both mathematicians and physicists. These activities produced interesting results and fruitful interactions among the partici pants. These volumes represent only a portion of the papers that will even tually result from ideas developed in the offices and corridors of MSRI's elegant home. The Editors solicited contributions from all participants in the Program whether or not they gave a talk at the Workshop. Papers were also submit ted by mathematicians invited but unable to attend. All manuscripts were refereed. The articles included here cover a broad spectrum, representative of the activities during the semester. We have made an attempt to group them by subject, for the reader's convenience. The Editors take pleasure in thanking all participants, authors and ref erees for their work in producing these volumes. We are also grateful to the Scientific Advisory Council of MSRI for sup porting the Program in GFT. Finally thanks are due to the National Sci ence Foundation and those Universities (including Cornell, Michigan, Min nesota, Rutgers Newark, SUNY Stony Brook) who gave released time to faculty members to participate for extended periods in this program
Convex hulls in hyperbolic space, a theorem of Sullivan, and measured pleated surfaces by
D. B. A Epstein(
Book
)
1 edition published in 1986 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1986 in English and held by 2 WorldCat member libraries worldwide
Generic fundamental polyhedra for Kleinian groups by T Jorgensen(
Book
)
1 edition published in 1986 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1986 in English and held by 2 WorldCat member libraries worldwide
The monodromy groups of Schwarzian equations on compact Riemann surfaces by
Daniel Gallo(
Book
)
1 edition published in 1995 in English and held by 1 WorldCat member library worldwide
1 edition published in 1995 in English and held by 1 WorldCat member library worldwide
Convex hulls in hyperbolic space, a theorem of Sullivan, and measured pleated surfaces by
D. B. A Epstein(
)
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
An extremal length problem and the bilinear relation on open Riemann surfaces by
Albert Marden(
Book
)
1 edition published in 1962 in English and held by 1 WorldCat member library worldwide
1 edition published in 1962 in English and held by 1 WorldCat member library worldwide
Outside in by
Margaret Williams(
Visual
)
1 edition published in 1995 in English and held by 1 WorldCat member library worldwide
Outside in explique l'étonnante découverte de Steve Smale en 1957 sur le retournement de la sphère, et discute du problème de retournement sans faire de coudes pointus ou de plis, avec applications comme illustration
1 edition published in 1995 in English and held by 1 WorldCat member library worldwide
Outside in explique l'étonnante découverte de Steve Smale en 1957 sur le retournement de la sphère, et discute du problème de retournement sans faire de coudes pointus ou de plis, avec applications comme illustration
Holomorphic Functions and Moduli I : Proceedings of a Workshop held March 1319, 1986 by
ShiingShen Chern(
)
1 edition published in 1988 in English and held by 0 WorldCat member libraries worldwide
1 edition published in 1988 in English and held by 0 WorldCat member libraries worldwide
Fundamentals of Hyperbolic Manifolds : Selected Expositions by R. D Canary(
)
2 editions published in 2006 in English and held by 0 WorldCat member libraries worldwide
Reissued articles from two classic sources on hyperbolic manifolds with new sections describing recent work
2 editions published in 2006 in English and held by 0 WorldCat member libraries worldwide
Reissued articles from two classic sources on hyperbolic manifolds with new sections describing recent work
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Related Identities
 Epstein, D. B. A. Author Editor
 Canary, Richard Douglas Editor
 London Mathematical Society
 Drasin, D. Author Editor
 Gehring, F. W. Editor
 Earle, C. J. Editor
 Kra, I. Editor
 Canary, R. D. Author Editor
 Baernstein, Albert II 19412014 Editor
 Duren, Peter Editor
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Associated Subjects
Bieberbach, Ludwig, Bieberbach conjecture Complex manifolds Computer animation Dwoskin, Stephen Feminism and art Geometric function theory Geometry, Hyperbolic Global analysis (Mathematics) Holomorphic functions Hyperbolic spaces Identity (Psychology) Kleinian groups Knot theory Mathematics Modern dance Quasiconformal mappings Race awareness Riemann surfaces Smale, Stephen, Sphere Teenage girlsAttitudes Teenage girls in popular culture Teenage girlsPsychology Teichmüller spaces Threemanifolds (Topology) Topology Women artists