Greene, Robert Everist 1943
Overview
Works:  42 works in 231 publications in 4 languages and 4,433 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Author, Editor, Honoree, Speaker, Dedicatee 
Classifications:  QA331.7, 516.36 
Publication Timeline
.
Most widely held works by
Robert Everist Greene
Function theory of one complex variable by
Robert Everist Greene(
Book
)
27 editions published between 1997 and 2017 in English and Italian and held by 850 WorldCat member libraries worldwide
"Complex analysis is one of the most central subjects in mathematics. It is compelling and rich in its own right, but it is also remarkably useful in a wide variety of other mathematical subjects, both pure and applied. This book is different from others in that it treats complex variables as a direct development from multivariable real calculus. As each new idea is introduced, it is related to the corresponding idea from real analysis and calculus. The text is rich with examples and exercises that illustrate this point. The authors have systematically separated the analysis from the topology, as can be seen in their proof of the Cauchy theorem. The book concludes with several chapters on special topics, including full treatments of special functions, the prime number theorem, and the Bergman kernel. The authors also treat H[superscript p] spaces and Painleve's theorem on smoothness to the boundary for conformal maps. This book is a text for a firstyear graduate course in complex analysis. It is a modern introduction to the subject, reflecting the authors' expertise both as mathematicians and as expositors."BOOK JACKET
27 editions published between 1997 and 2017 in English and Italian and held by 850 WorldCat member libraries worldwide
"Complex analysis is one of the most central subjects in mathematics. It is compelling and rich in its own right, but it is also remarkably useful in a wide variety of other mathematical subjects, both pure and applied. This book is different from others in that it treats complex variables as a direct development from multivariable real calculus. As each new idea is introduced, it is related to the corresponding idea from real analysis and calculus. The text is rich with examples and exercises that illustrate this point. The authors have systematically separated the analysis from the topology, as can be seen in their proof of the Cauchy theorem. The book concludes with several chapters on special topics, including full treatments of special functions, the prime number theorem, and the Bergman kernel. The authors also treat H[superscript p] spaces and Painleve's theorem on smoothness to the boundary for conformal maps. This book is a text for a firstyear graduate course in complex analysis. It is a modern introduction to the subject, reflecting the authors' expertise both as mathematicians and as expositors."BOOK JACKET
Introduction to topology by
Theodore W Gamelin(
Book
)
25 editions published between 1983 and 2013 in English and held by 706 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
25 editions published between 1983 and 2013 in English and held by 706 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
Function theory on manifolds which possess a pole by
R. E Greene(
Book
)
22 editions published between 1978 and 2008 in 3 languages and held by 589 WorldCat member libraries worldwide
22 editions published between 1978 and 2008 in 3 languages and held by 589 WorldCat member libraries worldwide
The geometry of complex domains by
Robert E Greene(
)
23 editions published between 2005 and 2011 in English and held by 566 WorldCat member libraries worldwide
Annotation
23 editions published between 2005 and 2011 in English and held by 566 WorldCat member libraries worldwide
Annotation
Recent developments in geometry : proceedings of the AMS Special Session in Geometry, November 1415, 1987 by
AMS Special Session in Geometry(
Book
)
12 editions published between 1989 and 2012 in English and Spanish and held by 275 WorldCat member libraries worldwide
12 editions published between 1989 and 2012 in English and Spanish and held by 275 WorldCat member libraries worldwide
Isometric embeddings of Riemannian and pseudoRiemannian manifolds by
Robert Everist Greene(
Book
)
16 editions published between 1969 and 1970 in 3 languages and held by 258 WorldCat member libraries worldwide
The purpose of this paper is to provide improved results on noncompact manifolds and extensions to isometric embeddings for arbitrary quadratic forms on the tangent bundle of a manifold ("general metrics") and to the local isometric embedding problem
16 editions published between 1969 and 1970 in 3 languages and held by 258 WorldCat member libraries worldwide
The purpose of this paper is to provide improved results on noncompact manifolds and extensions to isometric embeddings for arbitrary quadratic forms on the tangent bundle of a manifold ("general metrics") and to the local isometric embedding problem
Explorations in complex and Riemannian geometry : a volume dedicated to Robert E. Greene(
Book
)
10 editions published between 2003 and 2012 in English and held by 257 WorldCat member libraries worldwide
10 editions published between 2003 and 2012 in English and held by 257 WorldCat member libraries worldwide
Differential geometry : [proceedings of the Symposium in Pure Mathematics of the American Mathematical Society, held at Stanford
University, Stanford, California, July 30August 17, 1973 by Symposium in Pure Mathematics(
Book
)
1 edition published in 1993 in English and held by 199 WorldCat member libraries worldwide
1 edition published in 1993 in English and held by 199 WorldCat member libraries worldwide
Riemannian geometry by Summer Research Institute on Differential Geometry(
Book
)
7 editions published between 1993 and 2012 in English and held by 126 WorldCat member libraries worldwide
7 editions published between 1993 and 2012 in English and held by 126 WorldCat member libraries worldwide
Partial differential equations on manifolds by Summer Research Institute on Differential Geometry(
Book
)
4 editions published between 1993 and 2012 in English and held by 121 WorldCat member libraries worldwide
4 editions published between 1993 and 2012 in English and held by 121 WorldCat member libraries worldwide
Geometry in mathematical physics and related topics by Summer Research Institute on Differential Geometry(
Book
)
4 editions published between 1993 and 2012 in English and held by 121 WorldCat member libraries worldwide
4 editions published between 1993 and 2012 in English and held by 121 WorldCat member libraries worldwide
Several complex variables and complex geometry by
Summer Research Institute on Several Complex Variables and Complex Geometry(
)
7 editions published in 1991 in English and held by 66 WorldCat member libraries worldwide
7 editions published in 1991 in English and held by 66 WorldCat member libraries worldwide
Differential geometry : [proceedings of the Summer Research Institute on Differential Geometry held at the University of California,
Los Angeles, Los Angeles, California, July 828, 1990] by Summer Research Institute on Differential Geometry(
Book
)
4 editions published in 1993 in English and Italian and held by 41 WorldCat member libraries worldwide
4 editions published in 1993 in English and Italian and held by 41 WorldCat member libraries worldwide
Differential geometry by Summer Research Institute on Differential Geometry(
Book
)
16 editions published in 1993 in English and held by 40 WorldCat member libraries worldwide
16 editions published in 1993 in English and held by 40 WorldCat member libraries worldwide
Differential geometry by Summer Research Institute on Differential Geometry(
Book
)
9 editions published in 1993 in English and Italian and held by 39 WorldCat member libraries worldwide
9 editions published in 1993 in English and Italian and held by 39 WorldCat member libraries worldwide
Differential geometry : partial differential equations on manifolds by
Robert Greene(
)
6 editions published in 1993 in English and held by 37 WorldCat member libraries worldwide
6 editions published in 1993 in English and held by 37 WorldCat member libraries worldwide
Function theory on manifolds which possess a pole by
Robert Everist Greene(
)
1 edition published in 1979 in English and held by 26 WorldCat member libraries worldwide
1 edition published in 1979 in English and held by 26 WorldCat member libraries worldwide
Differential geometry : geometry in mathematical physics and related topics by Summer Research Institute on Differential Geometry(
)
1 edition published in 1993 in English and held by 25 WorldCat member libraries worldwide
1 edition published in 1993 in English and held by 25 WorldCat member libraries worldwide
more
fewer
Audience Level
0 

1  
Kids  General  Special 
Related Identities
 Krantz, Steven G. (Steven George) 1951 Editor
 Kim, KangTae 1957 Editor
 Yau, ShingTung 1949 Editor
 Gamelin, Theodore W. Author
 Wu, Hongxi 1940
 American Mathematical Society Other Editor
 Choi, H. Editor
 Cheng, S.Y Editor
 Bland, John 1952 Editor
 D'Angelo, John P. Editor
Useful Links
Associated Subjects
Canada Complex manifolds Differentiable dynamical systems Differential equations, Partial Domains of holomorphy Functions Functions of complex variables Functions of several complex variables Geometric function theory Geometry Geometry, Algebraic Geometry, Differential Geometry, Riemannian Global analysis (Mathematics) Harmonic maps Isometric projection Kählerian structures Manifolds (Mathematics) Mathematical physics Mathematics Neumann problem Riemannian manifolds Riemann surfaces Scientists Topological spaces Topology United States
Covers
Alternative Names
Everist Greene, Robert 1943
Greene, R. E.
Greene, R. E. 1943
Greene, R. E. (Robert Everist), 1943
Greene, Robert.
Greene, Robert 1943
Greene, Robert E.
Greene, Robert E. 1943...
Greene, Robert E. (Robert Everist), 1943
Greene, Robert Everist
Languages