Remmert, Reinhold
Overview
Works:  187 works in 645 publications in 8 languages and 7,326 library holdings 

Genres:  History Popular works 
Roles:  Author, Editor, Creator, Other 
Classifications:  QA331, 515.9 
Publication Timeline
.
Most widely held works about
Reinhold Remmert
 Several complex variables VI : complex manifolds by Reinhold Remmert( Book )
 On the automorphisms of certain symmetric complex manifolds in infinite dimension by Wilhelm Kaup( Book )
 Complex manifolds : lectures at the University of Chicago, autumn 1955  winter 1956( Book )
Most widely held works by
Reinhold Remmert
Theory of complex functions by
Reinhold Remmert(
Book
)
172 editions published between 1968 and 2011 in 4 languages and held by 1,908 WorldCat member libraries worldwide
"This book is an ideal text for an advanced course in the theory of complex functions. The author leads the reader to experience function theory personally and to participate in the work of the creative mathematician. The book contains numerous glimpses of the function theory of several complex variables, which illustrate how autonomous this discipline has become. Topics covered include Weierstrass's product theorem, MittagLeffler's theorem, the Riemann mapping theorem, and Runge's theorems on approximation of analytic functions. In addition to these standard topics, the reader will find Eisenstein's proof of Euler's product formula for the sine function; Wielandt's uniqueness theorem for the gamma function and applications; a detailed discussion of Stirling's formula; Iss'sa's theorem; Besse's proof that all domains in C are domains of holomorphy; Wedderburn's lemma and the ideal theory of rings of holomorphic functions; Estermann's proofs of the overconvergence theorem and Bloch's theorem; a holomorphic imbedding of the unit disc in C[superscript 3]; and Gauss's expert opinion of November 1851 on Riemann's dissertation." "Remmert presents the material in short clear sections, with compact proofs and historical comments interwoven throughout the text. The abundance of examples, exercises, and historical remarks, as well as the extensive bibliography, will make this book an invaluable source for students and teachers."Jacket
172 editions published between 1968 and 2011 in 4 languages and held by 1,908 WorldCat member libraries worldwide
"This book is an ideal text for an advanced course in the theory of complex functions. The author leads the reader to experience function theory personally and to participate in the work of the creative mathematician. The book contains numerous glimpses of the function theory of several complex variables, which illustrate how autonomous this discipline has become. Topics covered include Weierstrass's product theorem, MittagLeffler's theorem, the Riemann mapping theorem, and Runge's theorems on approximation of analytic functions. In addition to these standard topics, the reader will find Eisenstein's proof of Euler's product formula for the sine function; Wielandt's uniqueness theorem for the gamma function and applications; a detailed discussion of Stirling's formula; Iss'sa's theorem; Besse's proof that all domains in C are domains of holomorphy; Wedderburn's lemma and the ideal theory of rings of holomorphic functions; Estermann's proofs of the overconvergence theorem and Bloch's theorem; a holomorphic imbedding of the unit disc in C[superscript 3]; and Gauss's expert opinion of November 1851 on Riemann's dissertation." "Remmert presents the material in short clear sections, with compact proofs and historical comments interwoven throughout the text. The abundance of examples, exercises, and historical remarks, as well as the extensive bibliography, will make this book an invaluable source for students and teachers."Jacket
Theory of Stein spaces by
Hans Grauert(
Book
)
47 editions published between 1977 and 2004 in 4 languages and held by 868 WorldCat member libraries worldwide
From the reviews: "Theory of Stein Spaces provides a rich variety of methods, results, and motivations  a book with masterful mathematical care and judgement. It is a pleasure to have this fundamental material now readily accessible to any serious mathematician." J. Eells in Bulletin of the London Mathematical Society (1980) "Written by two mathematicians who played a crucial role in the development of the modern theory of several complex variables, this is an important book." J.B. Cooper in Internationale Mathematische Nachrichten (1979)
47 editions published between 1977 and 2004 in 4 languages and held by 868 WorldCat member libraries worldwide
From the reviews: "Theory of Stein Spaces provides a rich variety of methods, results, and motivations  a book with masterful mathematical care and judgement. It is a pleasure to have this fundamental material now readily accessible to any serious mathematician." J. Eells in Bulletin of the London Mathematical Society (1980) "Written by two mathematicians who played a crucial role in the development of the modern theory of several complex variables, this is an important book." J.B. Cooper in Internationale Mathematische Nachrichten (1979)
Coherent analytic sheaves by
Hans Grauert(
Book
)
18 editions published between 1984 and 2012 in English and German and held by 452 WorldCat member libraries worldwide
. . . Je mehr ich tiber die Principien der Functionentheorie nachdenke  und ich thue dies unablassig , urn so fester wird meine Uberzeugung, dass diese auf dem Fundamente algebraischer Wahrheiten aufgebaut werden muss (WEIERSTRASS, Glaubensbekenntnis 1875, Math. Werke II, p. 235). 1. Sheaf Theory is a general tool for handling questions which involve local solutions and global patching. "La notion de faisceau s'introduit parce qu'il s'agit de passer de donnees 'locales' a l'etude de proprietes 'globales'" [CAR], p. 622. The methods of sheaf theory are algebraic. The notion of a sheaf was first introduced in 1946 by J. LERAY in a short note Eanneau d'homologie d'une representation, C. R. Acad. Sci. 222, 136668. Of course sheaves had occurred implicitly much earlier in mathematics. The "Monogene analytische Functionen", which K. WEIERSTRASS glued together from "Func tionselemente durch analytische Fortsetzung", are simply the connected components of the sheaf of germs of holomorphic functions on a RIEMANN surface*'; and the "ideaux de domaines indetermines", basic in the work of K. OKA since 1948 (cf. [OKA], p. 84, 107), are just sheaves of ideals of germs of holomorphic functions. Highly original contributions to mathematics are usually not appreciated at first. Fortunately H. CARTAN immediately realized the great importance of LERAY'S new abstract concept of a sheaf. In the polycopied notes of his Semina ire at the E. N. S
18 editions published between 1984 and 2012 in English and German and held by 452 WorldCat member libraries worldwide
. . . Je mehr ich tiber die Principien der Functionentheorie nachdenke  und ich thue dies unablassig , urn so fester wird meine Uberzeugung, dass diese auf dem Fundamente algebraischer Wahrheiten aufgebaut werden muss (WEIERSTRASS, Glaubensbekenntnis 1875, Math. Werke II, p. 235). 1. Sheaf Theory is a general tool for handling questions which involve local solutions and global patching. "La notion de faisceau s'introduit parce qu'il s'agit de passer de donnees 'locales' a l'etude de proprietes 'globales'" [CAR], p. 622. The methods of sheaf theory are algebraic. The notion of a sheaf was first introduced in 1946 by J. LERAY in a short note Eanneau d'homologie d'une representation, C. R. Acad. Sci. 222, 136668. Of course sheaves had occurred implicitly much earlier in mathematics. The "Monogene analytische Functionen", which K. WEIERSTRASS glued together from "Func tionselemente durch analytische Fortsetzung", are simply the connected components of the sheaf of germs of holomorphic functions on a RIEMANN surface*'; and the "ideaux de domaines indetermines", basic in the work of K. OKA since 1948 (cf. [OKA], p. 84, 107), are just sheaves of ideals of germs of holomorphic functions. Highly original contributions to mathematics are usually not appreciated at first. Fortunately H. CARTAN immediately realized the great importance of LERAY'S new abstract concept of a sheaf. In the polycopied notes of his Semina ire at the E. N. S
Nonarchimedean analysis : a systematic approach to rigid analytic geometry by
S Bosch(
Book
)
16 editions published between 1983 and 2013 in English and German and held by 444 WorldCat member libraries worldwide
16 editions published between 1983 and 2013 in English and German and held by 444 WorldCat member libraries worldwide
Analytische Stellenalgebren by
Hans Grauert(
Book
)
23 editions published between 1971 and 1988 in 3 languages and held by 428 WorldCat member libraries worldwide
23 editions published between 1971 and 1988 in 3 languages and held by 428 WorldCat member libraries worldwide
Œuvres = Collected works by
Henri Cartan(
Book
)
23 editions published in 1979 in 3 languages and held by 308 WorldCat member libraries worldwide
23 editions published in 1979 in 3 languages and held by 308 WorldCat member libraries worldwide
Perspectives in mathematics : anniversary of Oberwolfach 1984(
Book
)
15 editions published in 1984 in 3 languages and held by 292 WorldCat member libraries worldwide
15 editions published in 1984 in 3 languages and held by 292 WorldCat member libraries worldwide
Miscellanea mathematica by
Michael Francis Atiyah(
Book
)
12 editions published in 1991 in English and held by 284 WorldCat member libraries worldwide
Mathematics has a certain mystique, for it is pure and ex act, yet demands remarkable creativity. This reputation is reinforced by its characteristic abstraction and its own in dividual language, which often disguise its origins in and connections with the physical world. Publishing mathematics, therefore, requires special effort and talent. Heinz Gotze, who has dedicated his life to scientific pu blishing, took up this challenge with his typical enthusi asm. This Festschrift celebrates his invaluable contribu tions to the mathematical community, many of whose leading members he counts among his personal friends. The articles, written by mathematicians from around the world and coming from diverse fields, portray the important role of mathematics in our culture. Here, the reflections of important mathematicians, often focused on the history of mathematics, are collected, in recognition of Heinz Gotze's lifelong support of mathematics
12 editions published in 1991 in English and held by 284 WorldCat member libraries worldwide
Mathematics has a certain mystique, for it is pure and ex act, yet demands remarkable creativity. This reputation is reinforced by its characteristic abstraction and its own in dividual language, which often disguise its origins in and connections with the physical world. Publishing mathematics, therefore, requires special effort and talent. Heinz Gotze, who has dedicated his life to scientific pu blishing, took up this challenge with his typical enthusi asm. This Festschrift celebrates his invaluable contribu tions to the mathematical community, many of whose leading members he counts among his personal friends. The articles, written by mathematicians from around the world and coming from diverse fields, portray the important role of mathematics in our culture. Here, the reflections of important mathematicians, often focused on the history of mathematics, are collected, in recognition of Heinz Gotze's lifelong support of mathematics
Elementare Zahlentheorie by
Reinhold Remmert(
Book
)
21 editions published between 1987 and 2008 in 3 languages and held by 266 WorldCat member libraries worldwide
21 editions published between 1987 and 2008 in 3 languages and held by 266 WorldCat member libraries worldwide
Several complex variables VII : sheaftheoretical methods in complex analysis(
Book
)
10 editions published in 1994 in English and held by 263 WorldCat member libraries worldwide
10 editions published in 1994 in English and held by 263 WorldCat member libraries worldwide
Collected papers by
Kiyoshi Oka(
Book
)
17 editions published between 1984 and 2014 in English and held by 256 WorldCat member libraries worldwide
17 editions published between 1984 and 2014 in English and held by 256 WorldCat member libraries worldwide
Several complex variables VI : complex manifolds by
Reinhold Remmert(
Book
)
5 editions published in 1990 in English and held by 225 WorldCat member libraries worldwide
5 editions published in 1990 in English and held by 225 WorldCat member libraries worldwide
Duration and change : fifty years at Oberwolfach by
Michael Artin(
Book
)
12 editions published in 1994 in English and German and held by 170 WorldCat member libraries worldwide
A volume containing original essays from quite diverse fields in mathematics is something of a rarity, especially if renowned scientists show the width of their discipline to the reader. This book is just such a rarity  a veritable gem. It was written to celebrate the 50th anniversary of the mathematical research institute at Oberwolfach. The articles span a range of topics from general reflections on the place of mathematics in contemporary culture to essays dealing with aspects of algebra, analysis, geometry, coding theory, scientific computing and topology. All essays are interrelated, proving the old rule that you can divide and still conquer. A book in which every mathematician or scientist interested in mathematics will find something to take their fancy
12 editions published in 1994 in English and German and held by 170 WorldCat member libraries worldwide
A volume containing original essays from quite diverse fields in mathematics is something of a rarity, especially if renowned scientists show the width of their discipline to the reader. This book is just such a rarity  a veritable gem. It was written to celebrate the 50th anniversary of the mathematical research institute at Oberwolfach. The articles span a range of topics from general reflections on the place of mathematics in contemporary culture to essays dealing with aspects of algebra, analysis, geometry, coding theory, scientific computing and topology. All essays are interrelated, proving the old rule that you can divide and still conquer. A book in which every mathematician or scientist interested in mathematics will find something to take their fancy
The concept of a Riemann surface. Translated from the German by Gerald R. Maclane by
Hermann Weyl(
Book
)
3 editions published in 1997 in German and held by 56 WorldCat member libraries worldwide
3 editions published in 1997 in German and held by 56 WorldCat member libraries worldwide
Lineare algebra by
Eberhard Oeljeklaus(
Book
)
9 editions published in 1974 in 3 languages and held by 55 WorldCat member libraries worldwide
9 editions published in 1974 in 3 languages and held by 55 WorldCat member libraries worldwide
Theorie der Funktionen mehrerer komplexer Veränderlichen by
Heinrich Behnke(
Book
)
10 editions published in 1970 in German and held by 35 WorldCat member libraries worldwide
10 editions published in 1970 in German and held by 35 WorldCat member libraries worldwide
Numbers by
HeinzDieter Ebbinghaus(
)
8 editions published between 1983 and 1992 in German and English and held by 7 WorldCat member libraries worldwide
This is a book about numbers  all kinds of numbers, from integers to padics, from rationals to octonions, from reals to infinitesimals. Who first used the standard notation for Â? Why was Hamilton obsessed with quaternions? What was the prospect for "quaternionic analysis" in the 19th century? This is the story about one of the major threads of mathematics over thousands of years. It is a story that will give the reader both a glimpse of the mystery surrounding imaginary numbers in the 17th century and also a view of some major developments in the 20th
8 editions published between 1983 and 1992 in German and English and held by 7 WorldCat member libraries worldwide
This is a book about numbers  all kinds of numbers, from integers to padics, from rationals to octonions, from reals to infinitesimals. Who first used the standard notation for Â? Why was Hamilton obsessed with quaternions? What was the prospect for "quaternionic analysis" in the 19th century? This is the story about one of the major threads of mathematics over thousands of years. It is a story that will give the reader both a glimpse of the mystery surrounding imaginary numbers in the 17th century and also a view of some major developments in the 20th
Mathematik  Motor der Wirtschaft : Initiative der Wirtschaft zum Jahr der Mathematik(
Book
)
7 editions published in 2008 in German and English and held by 5 WorldCat member libraries worldwide
7 editions published in 2008 in German and English and held by 5 WorldCat member libraries worldwide
Shutain kūkanron by
Hans Grauert(
Book
)
3 editions published in 2009 in Japanese and held by 3 WorldCat member libraries worldwide
3 editions published in 2009 in Japanese and held by 3 WorldCat member libraries worldwide
Several Complex Variables VII SheafTheoretical Methods in Complex Analysis by
Hans Grauert(
)
1 edition published in 1994 in English and held by 0 WorldCat member libraries worldwide
This volume of the Encyclopaedia offers a systematic introduction and a comprehensive survey of the theory of complex spaces. It covers topics like seminormal complex spaces, cohomology, the Levi problem, qconvexity and qconcavity. It is the first survey of this kind. The authors are internationally known outstanding experts who developed substantial parts of the field. The book contains seven chapters and an introduction written by Remmert, describing the history of the subject. The book will be very useful to graduate students and researchers in complex analysis, algebraic geometry and differential geometry. Another group of readers will consist of mathematical physicists who apply results from these fields
1 edition published in 1994 in English and held by 0 WorldCat member libraries worldwide
This volume of the Encyclopaedia offers a systematic introduction and a comprehensive survey of the theory of complex spaces. It covers topics like seminormal complex spaces, cohomology, the Levi problem, qconvexity and qconcavity. It is the first survey of this kind. The authors are internationally known outstanding experts who developed substantial parts of the field. The book contains seven chapters and an introduction written by Remmert, describing the history of the subject. The book will be very useful to graduate students and researchers in complex analysis, algebraic geometry and differential geometry. Another group of readers will consist of mathematical physicists who apply results from these fields
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Related Identities
 Grauert, Hans 1930 Author Editor
 Cartan, Henri 19042008 Contributor Editor Author Adapter Commentator for written text
 Narasimhan, Raghavan Translator Editor
 Güntzer, U. (Ulrich) 1941
 Bosch, S. (Siegfried) 1944 Author
 Mathematisches Forschungsinstitut Oberwolfach
 Riemenschneider, O. (Oswald) Editor Contributor
 Serre, JeanPierre 1926 Editor
 Hirzebruch, Friedrich Editor
 Peternell, Th (Thomas) 1954 Editor
Useful Links
Associated Subjects
Algebra Algebra, Abstract Algebraic topology Algebras, Linear Analytic spaces Automorphisms Business mathematics Coherent analytic sheaves Commutative rings Complex manifolds Differential equations, Partial Functional analysis Functions Functions of complex variables Functions of several complex variables Generalized spaces Geometry, Algebraic Geometry, Analytic Global analysis (Mathematics) Global differential geometry Homology theory Logic, Symbolic and mathematical Mathematical physics Mathematicians Mathematics Mathematisches Forschungsinstitut Oberwolfach Modules (Algebra) Nonstandard mathematical analysis Number theory Power series Remmert, Reinhold Riemann surfaces Sheaf theory Stein spaces
Alternative Names
R.レンメルト 1930
Reinhold Remmert deutscher Mathematiker
Reinhold Remmert Duits wiskundige
Reinhold Remmert German mathematician
Reinhold Remmert matemtico alemo
Reinhold Remmert tysk matematikar
Reinhold Remmert tysk matematiker
Remmert, R.
Remmert, R. 1930
Remmert, R. (Reinhold)
Remmert, Reinhold
Remmert, Reinold 1930
Реммерт, Р..
レンメルト, R
Languages
German
(204)
English (189)
French (16)
Russian (8)
Japanese (3)
German, Old High (1)
Italian (1)
Multiple languages (1)
English (189)
French (16)
Russian (8)
Japanese (3)
German, Old High (1)
Italian (1)
Multiple languages (1)
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