Kra, Irwin
Overview
Works:  33 works in 179 publications in 2 languages and 4,550 library holdings 

Genres:  Conference proceedings Biography 
Roles:  Author, Editor 
Classifications:  QA333, 515.223 
Publication Timeline
.
Most widely held works by
Irwin Kra
Complex analysis in the spirit of Lipman Bers
by
Jane Gilman(
)
34 editions published between 2007 and 2013 in English and held by 1,008 WorldCat member libraries worldwide
"This book is intended for a graduate course on complex analysis, also known as function theory. The main focus is the theory of complexvalued functions of a single complex variable. This theory is a prerequisite for the study of many current and rapidly developing areas of mathematics including the theory of several and infinitely many complex variables, the theory of groups, hyperbolic geometry and threemanifolds, and number theory. Complex analysis has connections and applications to many other subjects in mathematics and to other sciences. It is an area where the classic and the modern techniques meet and benefit from each other. This material should be part of the education of every practicing mathematician, and it will also be of interest to computer scientists, physicists, and engineers." "The book covers most, if not all, of the material contained in Bers's courses on first year complex analysis. In addition, topics of current interest such as zeros of holomorphic functions and the connection between hyperbolic geometry and complex analysis are explored."BOOK JACKET
34 editions published between 2007 and 2013 in English and held by 1,008 WorldCat member libraries worldwide
"This book is intended for a graduate course on complex analysis, also known as function theory. The main focus is the theory of complexvalued functions of a single complex variable. This theory is a prerequisite for the study of many current and rapidly developing areas of mathematics including the theory of several and infinitely many complex variables, the theory of groups, hyperbolic geometry and threemanifolds, and number theory. Complex analysis has connections and applications to many other subjects in mathematics and to other sciences. It is an area where the classic and the modern techniques meet and benefit from each other. This material should be part of the education of every practicing mathematician, and it will also be of interest to computer scientists, physicists, and engineers." "The book covers most, if not all, of the material contained in Bers's courses on first year complex analysis. In addition, topics of current interest such as zeros of holomorphic functions and the connection between hyperbolic geometry and complex analysis are explored."BOOK JACKET
Riemann surfaces
by
Hershel M Farkas(
Book
)
30 editions published between 1979 and 2003 in English and Undetermined and held by 913 WorldCat member libraries worldwide
This text covers Riemann surface theory from elementary aspects to the fontiers of current research. Open and closed surfaces are treated with emphasis on the compact case. Basic tools are developed to describe the analytic, geometric, and algebraic properties of Riemann surfaces and the Abelian varities associated with these surfaces. Topics covered include existence of meromorphic functions, the Riemann Roch theorem, Abel's theorem, the Jacobi inversion problem, Noether's theorem, and the Riemann vanishing theorem. A complete treatment of the uniformization of Riemann sufaces via Fuchsian groups, including branched coverings, is presented. Alternate proofs for the most important results are included, showing the diversity of approaches to the subject. For this new edition, the material has been brought up todate, and erros have been corrected. The book should be of interest not only to pure mathematicians, but also to physicists interested in string theory and related topics
30 editions published between 1979 and 2003 in English and Undetermined and held by 913 WorldCat member libraries worldwide
This text covers Riemann surface theory from elementary aspects to the fontiers of current research. Open and closed surfaces are treated with emphasis on the compact case. Basic tools are developed to describe the analytic, geometric, and algebraic properties of Riemann surfaces and the Abelian varities associated with these surfaces. Topics covered include existence of meromorphic functions, the Riemann Roch theorem, Abel's theorem, the Jacobi inversion problem, Noether's theorem, and the Riemann vanishing theorem. A complete treatment of the uniformization of Riemann sufaces via Fuchsian groups, including branched coverings, is presented. Alternate proofs for the most important results are included, showing the diversity of approaches to the subject. For this new edition, the material has been brought up todate, and erros have been corrected. The book should be of interest not only to pure mathematicians, but also to physicists interested in string theory and related topics
A crash course on Kleinian groups; lectures given at a special session at the January 1974 meeting of the American Mathematical Society at San Francisco
by
Lipman Bers(
Book
)
23 editions published in 1974 in English and held by 544 WorldCat member libraries worldwide
23 editions published in 1974 in English and held by 544 WorldCat member libraries worldwide
Riemann surfaces and related topics : proceedings of the 1978 Stony Brook conference
by Conference on Riemann surfaces and related topics(
Book
)
11 editions published between 1980 and 1981 in English and Undetermined and held by 400 WorldCat member libraries worldwide
11 editions published between 1980 and 1981 in English and Undetermined and held by 400 WorldCat member libraries worldwide
Automorphic forms and Kleinian groups
by
Irwin Kra(
Book
)
14 editions published between 1972 and 1975 in English and Russian and held by 381 WorldCat member libraries worldwide
14 editions published between 1972 and 1975 in English and Russian and held by 381 WorldCat member libraries worldwide
Hilbert's fourth problem
by
A. V Pogorelov(
Book
)
4 editions published in 1979 in English and held by 378 WorldCat member libraries worldwide
4 editions published in 1979 in English and held by 378 WorldCat member libraries worldwide
Quasiconformal mappings and Riemann surfaces
by
S. L Krushkalʹ(
Book
)
5 editions published in 1979 in English and held by 259 WorldCat member libraries worldwide
5 editions published in 1979 in English and held by 259 WorldCat member libraries worldwide
Theta constants, Riemann surfaces, and the modular group : an introduction with applications to uniformization theorems, partition identities, and combinatorial number theory
by
Hershel M Farkas(
Book
)
10 editions published in 2001 in English and held by 254 WorldCat member libraries worldwide
10 editions published in 2001 in English and held by 254 WorldCat member libraries worldwide
In the tradition of Ahlfors and Bers : proceedings of the First AhlforsBers Colloquium, AhlforsBers Colloquium, November 68, 1998, State University of New York at Stony Brook
by AhlforsBers Colloquium(
Book
)
8 editions published in 2000 in English and held by 217 WorldCat member libraries worldwide
8 editions published in 2000 in English and held by 217 WorldCat member libraries worldwide
Selected works of Lipman Bers : papers on complex analysis
by
Lipman Bers(
Book
)
4 editions published in 1998 in English and held by 117 WorldCat member libraries worldwide
4 editions published in 1998 in English and held by 117 WorldCat member libraries worldwide
Selected works of Lipman Bers : papers on complex analysis
by
Lipman Bers(
Book
)
3 editions published in 1998 in English and held by 14 WorldCat member libraries worldwide
3 editions published in 1998 in English and held by 14 WorldCat member libraries worldwide
On the ring of holomorphic functions on an open Riemann surface
by
Irwin Kra(
Book
)
4 editions published between 1966 and 1967 in English and held by 14 WorldCat member libraries worldwide
4 editions published between 1966 and 1967 in English and held by 14 WorldCat member libraries worldwide
Banach algebras of analytic functions on Riemann surfaces
by
Irwin Kra(
Book
)
in English and held by 10 WorldCat member libraries worldwide
in English and held by 10 WorldCat member libraries worldwide
Selected works of Lipman Bers : papers on complex analysis
by
Lipman Bers(
Book
)
2 editions published in 1998 in English and held by 6 WorldCat member libraries worldwide
2 editions published in 1998 in English and held by 6 WorldCat member libraries worldwide
In the tradition of Ahlfors and Bers : proceedings of the First AhlforsBers Colloquium
(
Book
)
2 editions published in 2000 in English and held by 5 WorldCat member libraries worldwide
2 editions published in 2000 in English and held by 5 WorldCat member libraries worldwide
Lipman Bers : May 22, 1914October 29, 1993
(
Book
)
1 edition published in 2001 in English and held by 4 WorldCat member libraries worldwide
1 edition published in 2001 in English and held by 4 WorldCat member libraries worldwide
Contributions to analysis: a collection of papers dedicated to Lipman Bers
by
Lars V Ahlfors(
Book
)
3 editions published between 1974 and 2014 in English and held by 3 WorldCat member libraries worldwide
3 editions published between 1974 and 2014 in English and held by 3 WorldCat member libraries worldwide
A crash course on Kleinian groups : lectures given special session at the January 1974 meeting of the American mathematical Society at San Francisco
by American Mathematical Society(
Book
)
1 edition published in 1974 in English and held by 3 WorldCat member libraries worldwide
1 edition published in 1974 in English and held by 3 WorldCat member libraries worldwide
Riemann Surfaces and related topics
(
Book
)
1 edition published in 1981 in Undetermined and held by 2 WorldCat member libraries worldwide
1 edition published in 1981 in Undetermined and held by 2 WorldCat member libraries worldwide
Riemann surfaces and related topics: Proceedings of the 1978 Stony Brook conference held at the State University of New York at Stony Brook, June 59, 1978
(
Book
)
2 editions published in 1981 in English and held by 2 WorldCat member libraries worldwide
2 editions published in 1981 in English and held by 2 WorldCat member libraries worldwide
more
fewer
Audience Level
0 

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Kids  General  Special 
Related Identities
 Bers, Lipman Author Editor
 Farkas, Hershel M. Author
 Gilman, Jane 1945 Author
 Rodríguez, Rubí E. 1953 Author
 Maskit, Bernard Editor
 Pogorelov, A. V. (Alekseĭ Vasilʹevich) 19192002 Author
 Zaustinskiy, Eugene
 American Mathematical Society Other
 Krushkalʹ, S. L. (Samuil Leĭbovich) Author
 American Mathematical Society Meeting (1974 : San Francisco, Calif.)
Useful Links
Associated Subjects
Automorphic functions Banach algebras Banach spaces Differential equations, Partial Functional analysis Functions Functions, Theta Functions of complex variables Geometric function theory Geometry, Algebraic GeometryFoundations Global analysis (Mathematics) Group theory Holomorphic functions Kleinian groups Mappings (Mathematics) Mathematical analysis Mathematicians Mathematics Modular groups Quasiconformal mappings Riemann surfaces Rings (Algebra) Topological groups