Remmert, Reinhold
Overview
Works:  275 works in 786 publications in 6 languages and 8,464 library holdings 

Genres:  Festschriften Conference papers and proceedings Popular works 
Roles:  Author, Editor, Other, Author of introduction, Creator, Contributor, Bibliographic antecedent 
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. [Résumé des lecons] by ShiingShen Chern( Book )
Most widely held works by
Reinhold Remmert
Classical topics in complex function theory by
Reinhold Remmert(
Book
)
103 editions published between 1968 and 2011 in 3 languages and held by 1,171 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
103 editions published between 1968 and 2011 in 3 languages and held by 1,171 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 complex functions by
Reinhold Remmert(
Book
)
1 edition published in 1991 in English and held by 506 WorldCat member libraries worldwide
The material from function theory, up to the residue calculus, is developed in a lively and vivid style, well motivated throughout by examples and practice exercises. Additionally, there is ample discussion of the historical evolution of the theory, biographical sketches of important contributors, and citations (original language together with English translation) from their classical works. Yet the book is far from being a mere history of function theory. Even experts will find here few new or long forgotten gems, like Eisenstein's novel approach to the circular functions. This book is destined to accompany many students making their way into a classical area of mathematics which represents the most fruitful example to date of the intimate connection between algebra and analysis. For exam preparation it offers quick access to the essential results and an abundance of interesting inducements. Teachers and interested mathematicians in finance, industry and science will also find reading it profitable, again and again referring to it with pleasure
1 edition published in 1991 in English and held by 506 WorldCat member libraries worldwide
The material from function theory, up to the residue calculus, is developed in a lively and vivid style, well motivated throughout by examples and practice exercises. Additionally, there is ample discussion of the historical evolution of the theory, biographical sketches of important contributors, and citations (original language together with English translation) from their classical works. Yet the book is far from being a mere history of function theory. Even experts will find here few new or long forgotten gems, like Eisenstein's novel approach to the circular functions. This book is destined to accompany many students making their way into a classical area of mathematics which represents the most fruitful example to date of the intimate connection between algebra and analysis. For exam preparation it offers quick access to the essential results and an abundance of interesting inducements. Teachers and interested mathematicians in finance, industry and science will also find reading it profitable, again and again referring to it with pleasure
Nonarchimedean analysis : a systematic approach to rigid analytic geometry by
S Bosch(
Book
)
15 editions published between 1983 and 2013 in English and German and held by 450 WorldCat member libraries worldwide
15 editions published between 1983 and 2013 in English and German and held by 450 WorldCat member libraries worldwide
Analytische Stellenalgebren by
Hans Grauert(
Book
)
19 editions published in 1971 in 3 languages and held by 441 WorldCat member libraries worldwide
19 editions published in 1971 in 3 languages and held by 441 WorldCat member libraries worldwide
Coherent analytic sheaves by
Hans Grauert(
Book
)
13 editions published between 1984 and 2012 in English and German and held by 404 WorldCat member libraries worldwide
13 editions published between 1984 and 2012 in English and German and held by 404 WorldCat member libraries worldwide
Theory of Stein spaces by
Hans Grauert(
Book
)
13 editions published between 1979 and 2004 in English and German and held by 403 WorldCat member libraries worldwide
13 editions published between 1979 and 2004 in English and German and held by 403 WorldCat member libraries worldwide
Theorie der Steinschen Räume by
Hans Grauert(
Book
)
20 editions published in 1977 in 3 languages and held by 386 WorldCat member libraries worldwide
20 editions published in 1977 in 3 languages and held by 386 WorldCat member libraries worldwide
Elementare Zahlentheorie by
Reinhold Remmert(
Book
)
26 editions published between 1987 and 2008 in 3 languages and held by 378 WorldCat member libraries worldwide
26 editions published between 1987 and 2008 in 3 languages and held by 378 WorldCat member libraries worldwide
Miscellanea mathematica by
Michael Francis Atiyah(
Book
)
14 editions published in 1991 in English and German and held by 343 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
14 editions published in 1991 in English and German and held by 343 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
Funktionentheorie by
Reinhold Remmert(
Book
)
36 editions published between 1972 and 2006 in 3 languages and held by 330 WorldCat member libraries worldwide
Diese fünfte Auflage wurde zusammen mit dem zweitgenannten Autor kritisch durchgesehen, ergänzt und verbessert. Die Besprechung zur ersten Auflage ist nach wie vor aktuell. Aus den Besprechungen zur ersten Auflage: "Aufgelockert durch viele Beispiele und Übungsaufgaben, wird die Theorie der Funktionen einer komplexen Veränderlichen bis zum Residuenkalkül entwickelt. Im Zentrum stehen die Integralsätze von Cauchy. Dabei begnügt sich der Autor oft nicht mit einem einzigen Beweis für einen Satz. Weitere Beweismöglichkeiten werden zumindest skizziert, oder man erhält genaue Angaben über die Orginalarbeiten. Ebenso wird auf die ursprüngliche Formulierung von Sätzen hingewiesen. Jeder Paragraph schließt mit historischen Hinweisen, die auch die persönliche Beziehungen der Beteiligten nicht ausklammert. So erfährt man natürlich die unterschiedlichen Standpunkte von Cauchy und Weierstrass. Neben den Themen, die in keinem Text zur Funktionentheorie fehlen dürfen, findet man auch "Raritäten", etwa: Eisensteins Zugang zu den trigonometrischen Funktionen mittels Reihen oder Ritts Satz über asymptotische Reihenentwicklung, welcher einen berühmten Satz von E. Borel enthält ... Ein Werk, das allen Mathematikern die Funktionentheorie näherbringen kann." # Elemente der Mathematik #1 "Ergänzend ist ein Abschnitt mit Kurzbiographien von Abel, Cauchy, Eisenstein, Euler, Riemann und Weierstrass beigefügt. Es ist die begrü?enswerte Absicht des Verfassers, die mathematischen Aussagen in Verbindung mit ihrer historischen Entwicklung darzulegen und so die Beziehung zwischen Person und Sache herzustellen. Damit wirkt die Lektüre des Buches im besten Sinne bildend. Alles in allem ein gutes und schönes Buch." # Optimization #
36 editions published between 1972 and 2006 in 3 languages and held by 330 WorldCat member libraries worldwide
Diese fünfte Auflage wurde zusammen mit dem zweitgenannten Autor kritisch durchgesehen, ergänzt und verbessert. Die Besprechung zur ersten Auflage ist nach wie vor aktuell. Aus den Besprechungen zur ersten Auflage: "Aufgelockert durch viele Beispiele und Übungsaufgaben, wird die Theorie der Funktionen einer komplexen Veränderlichen bis zum Residuenkalkül entwickelt. Im Zentrum stehen die Integralsätze von Cauchy. Dabei begnügt sich der Autor oft nicht mit einem einzigen Beweis für einen Satz. Weitere Beweismöglichkeiten werden zumindest skizziert, oder man erhält genaue Angaben über die Orginalarbeiten. Ebenso wird auf die ursprüngliche Formulierung von Sätzen hingewiesen. Jeder Paragraph schließt mit historischen Hinweisen, die auch die persönliche Beziehungen der Beteiligten nicht ausklammert. So erfährt man natürlich die unterschiedlichen Standpunkte von Cauchy und Weierstrass. Neben den Themen, die in keinem Text zur Funktionentheorie fehlen dürfen, findet man auch "Raritäten", etwa: Eisensteins Zugang zu den trigonometrischen Funktionen mittels Reihen oder Ritts Satz über asymptotische Reihenentwicklung, welcher einen berühmten Satz von E. Borel enthält ... Ein Werk, das allen Mathematikern die Funktionentheorie näherbringen kann." # Elemente der Mathematik #1 "Ergänzend ist ein Abschnitt mit Kurzbiographien von Abel, Cauchy, Eisenstein, Euler, Riemann und Weierstrass beigefügt. Es ist die begrü?enswerte Absicht des Verfassers, die mathematischen Aussagen in Verbindung mit ihrer historischen Entwicklung darzulegen und so die Beziehung zwischen Person und Sache herzustellen. Damit wirkt die Lektüre des Buches im besten Sinne bildend. Alles in allem ein gutes und schönes Buch." # Optimization #
Several complex variables VII : sheaftheoretical methods in complex analysis by
Hans Grauert(
Book
)
10 editions published in 1994 in English and held by 326 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
10 editions published in 1994 in English and held by 326 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
Perspectives in mathematics : anniversary of Oberwolfach 1984 by
W Jäger(
Book
)
17 editions published in 1984 in 3 languages and held by 292 WorldCat member libraries worldwide
17 editions published in 1984 in 3 languages and held by 292 WorldCat member libraries worldwide
Œuvres = Collected works by
Henri Cartan(
Book
)
12 editions published between 1979 and 2015 in French and English and held by 292 WorldCat member libraries worldwide
12 editions published between 1979 and 2015 in French and English and held by 292 WorldCat member libraries worldwide
Collected papers by
Kiyoshi Oka(
Book
)
18 editions published between 1984 and 2014 in English and held by 286 WorldCat member libraries worldwide
18 editions published between 1984 and 2014 in English and held by 286 WorldCat member libraries worldwide
Several complex variables : proceedings of the 1981 Hangzhou conference by
Joseph John Kohn(
Book
)
3 editions published in 1984 in English and held by 238 WorldCat member libraries worldwide
"These papers, originally presented at the first international conference in several complex variables held in China, cover complex differential geometry, integral representation, boundary behavior of holomorphic functions, invariant metrics, holomorphic vector bundles, and pseudoconvexity." publisher
3 editions published in 1984 in English and held by 238 WorldCat member libraries worldwide
"These papers, originally presented at the first international conference in several complex variables held in China, cover complex differential geometry, integral representation, boundary behavior of holomorphic functions, invariant metrics, holomorphic vector bundles, and pseudoconvexity." publisher
Duration and change : fifty years at Oberwolfach by
Michael Artin(
Book
)
12 editions published in 1994 in English and German and held by 234 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 234 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
Several complex variables VI : complex manifolds by
Reinhold Remmert(
Book
)
5 editions published in 1990 in English and held by 231 WorldCat member libraries worldwide
5 editions published in 1990 in English and held by 231 WorldCat member libraries worldwide
Mathematik  Motor der Wirtschaft : Initiative der Wirtschaft zum Jahr der Mathematik by
G.M Greuel(
)
8 editions published in 2008 in German and English and held by 167 WorldCat member libraries worldwide
In unserer technisierten Welt stoßen wir überall auf Mathematik. Mathematik ist eine Basiswissenschaft und der Schlüssel für bahnbrechende Innovationen. Sie macht viele Produkte und Dienstleistungen überhaupt erst möglich und ist damit ein wichtiger Produktions und Wettbewerbsfaktor. Im vorliegenden Buch berichten 19 große internationale Unternehmen sowie die Bundesagentur für Arbeit wie unverzichtbar Mathematik für ihren Erfolg heute geworden ist. Ein spannender und lehrreicher Einblick in die Mathematik, der mit oft zitierten und negativen Vorurteilen gründlich aufräumt
8 editions published in 2008 in German and English and held by 167 WorldCat member libraries worldwide
In unserer technisierten Welt stoßen wir überall auf Mathematik. Mathematik ist eine Basiswissenschaft und der Schlüssel für bahnbrechende Innovationen. Sie macht viele Produkte und Dienstleistungen überhaupt erst möglich und ist damit ein wichtiger Produktions und Wettbewerbsfaktor. Im vorliegenden Buch berichten 19 große internationale Unternehmen sowie die Bundesagentur für Arbeit wie unverzichtbar Mathematik für ihren Erfolg heute geworden ist. Ein spannender und lehrreicher Einblick in die Mathematik, der mit oft zitierten und negativen Vorurteilen gründlich aufräumt
Theory of complex functions by
Reinhold Remmert(
Book
)
23 editions published between 1990 and 2005 in English and German and held by 157 WorldCat member libraries worldwide
23 editions published between 1990 and 2005 in English and German and held by 157 WorldCat member libraries worldwide
Theory of Stein spaces by
Hans Grauert(
)
15 editions published between 1979 and 2004 in English and held by 147 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)
15 editions published between 1979 and 2004 in English and held by 147 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)
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Related Identities
 Grauert, Hans 1930 Other Bibliographic antecedent Author Editor
 Cartan, Henri 19042008 Contributor Editor Author Adapter Commentator for written text
 Narasimhan, Raghavan Translator Editor
 Bosch, S. (Siegfried) 1944 Author
 Güntzer, U. (Ulrich) 1941
 Mathematisches Forschungsinstitut Oberwolfach
 Hirzebruch, Friedrich Editor
 Peternell, Th (Thomas) 1954 Other Editor
 Riemenschneider, O. (Oswald) Editor Contributor
 Hilton, Peter 19232010 Author Editor
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Associated Subjects
Algebra Algebraic topology Analytic spaces Automorphisms Business mathematics Coherent analytic sheaves Commutative rings Complex manifolds Differential equations, Partial Functional analysis Functions of complex variables Functions of real variables Functions of several complex variables Generalized spaces Geometry, Algebraic Geometry, Analytic Geometry, Differential Global analysis (Mathematics) Global differential geometry Hermitian structures Homology theory Manifolds (Mathematics) Mathematical physics Mathematics Mathematisches Forschungsinstitut Oberwolfach Number theory Power series Remmert, Reinhold Sheaf theory Stein spaces
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Alternative Names
R.レンメルト 1930
R.レンメルト 19302016
Reinhold Remmert deutscher Mathematiker
Reinhold Remmert Duits wiskundige
Reinhold Remmert German mathematician
Reinhold Remmert matemàtic alemany
Reinhold Remmert matemático alemán
Reinhold Remmert matemático alemão
Reinhold Remmert mathématicien allemand
Reinhold Remmert tysk matematikar
Reinhold Remmert tysk matematiker
Remmert, R.
Remmert, R. 1930
Remmert, R. 19302016
Remmert, R. (Reinhold)
Remmert, Reinhold
Remmert, Reinold 1930
Remmert, Reinold 19302016
Реммерт, Р..
ラインホルド・レンマート
レンメルト, R
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