WorldCat Identities

Remmert, Reinhold

Overview
Works: 182 works in 644 publications in 7 languages and 7,356 library holdings
Genres: Popular works 
Roles: Author, Editor, Creator, Other
Classifications: QA331, 515.9
Publication Timeline
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Most widely held works by Reinhold Remmert
Theory of Stein spaces by Hans Grauert( Book )

48 editions published between 1977 and 2004 in 3 languages and held by 867 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)
Theory of complex functions by Reinhold Remmert( Book )

24 editions published between 1990 and 1998 in 3 languages and held by 643 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
Coherent analytic sheaves by Hans Grauert( Book )

18 editions published between 1984 and 2012 in English and German and held by 456 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, 1366-68. 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
Funktionentheorie by Reinhold Remmert( Book )

52 editions published between 1972 and 2002 in 4 languages and held by 446 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 #
Non-archimedean 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 445 WorldCat member libraries worldwide

Classical topics in complex function theory by Reinhold Remmert( Book )

18 editions published between 1997 and 2011 in English and held by 444 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, Mittag-Leffler'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
Analytische Stellenalgebren by Hans Grauert( Book )

19 editions published in 1971 in German and Undetermined and held by 421 WorldCat member libraries worldwide

Œuvres = Collected works by Henri Cartan( Book )

38 editions published between 1979 and 2015 in 3 languages and held by 348 WorldCat member libraries worldwide

Elementare Zahlentheorie by Reinhold Remmert( Book )

24 editions published between 1987 and 2008 in 3 languages and held by 294 WorldCat member libraries worldwide

Perspectives in mathematics : anniversary of Oberwolfach 1984 by W Jäger( Book )

16 editions published in 1984 in 3 languages and held by 291 WorldCat member libraries worldwide

Miscellanea mathematica by Michael Francis Atiyah( Book )

12 editions published in 1991 in English and held by 286 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 life-long support of mathematics
Collected papers by Kiyoshi Oka( Book )

17 editions published between 1984 and 2014 in English and held by 269 WorldCat member libraries worldwide

Several complex variables VII : sheaf-theoretical methods in complex analysis by Hans Grauert( Book )

12 editions published between 1990 and 1994 in English and held by 266 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 semi-normal complex spaces, cohomology, the Levi problem, q-convexity and q-concavity. 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
Several complex variables VI : complex manifolds by Reinhold Remmert( Book )

4 editions published in 1990 in English and held by 211 WorldCat member libraries worldwide

Funktionentheorie by Reinhold Remmert( Book )

30 editions published between 1984 and 2007 in 3 languages and held by 208 WorldCat member libraries worldwide

Diese dritte Auflage wurde zusammen mit dem zweitgenannten Autor kritisch durchgesehen, ergänzt und verbessert. "Der ... vorliegende zweite Band der Funktionentheorie erfüllt voll die Erwartungen, die der erste Band geweckt hat.€Wieder beeindrucken vor allem die hochinteressanten historischen Bemerkungen zu den einzelnen Themenkreisen, als besonderer Leckerbissen wird das Gutachten von Gauss über Riemanns Dissertation vorgestellt ... Jedes einzelne Kapitel enthält ausführliche Literaturangaben. Ferner werden oft sehr aufschlussreiche Hinweise auf die Funktionentheorie mehrerer Veränderlicher gegeben. Die vielen Beispiele und Übungsaufgaben bilden eine wertvolle Ergänzung der brillant dargelegten Theorie. Der Rezensent bedauert, dass ihm nicht schon als Student ein derartig umfassendes, qualitativ hochstehendes Lehrbuch zur Verfügung stand."Monatshefte für Mathematik TOC:Teil A. Unendliche Produkte und Partialbruchreihen. Unendliche Produkte holomorpher Funktionen.- Die Gammafunktion.- Ganze Funktionen zu vorgegebenen Nullstellen.- Holomorphe Funktionen zu vorgegebenen Nullstellen.- Satz von Iss'sa. Holomorphiegebiete.- Funktionen zu vorgegebenen Hauptteilen.- Teil B. Abbildungstheorie. Die Sätze von Montel und Vitali.- Der Riemannsche Abbildungssatz.- Anhang zu Kapitel 8: Carathéodory-Koebe-Theorie.- Automorphismen und endliche innere Abbildungen.- Sätze von Bloch, Picard und Schottky.- Randverhalten von Potenzreihen.- Runge-Theorie für Kompakta.- Runge-Theorie für Bereiche.- Invarianz der Löcherzahl
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
Linear algebra by Klaus Jänich( Book )

15 editions published in 1974 in German and held by 68 WorldCat member libraries worldwide

This book covers the material of an introductory course in linear algebra: sets and maps, vector spaces, bases, linear maps, matrices, determinants, systems of linear equations, Euclidean spaces, eigenvalues and eigenvectors, diagonalization of self-adjoint operators, and classification of matrices. The book is written for beginners. Its didactic features (the "book within a book" and multiple choice tests with commented answers) make it especially suitable for self-study
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

Mathematik - Motor der Wirtschaft : Initiative der Wirtschaft zum Jahr der Mathematik( Book )

6 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

 
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Theory of complex functions
Alternative Names
R.レンメルト 1930-2016

Reinhold Remmert deutscher Mathematiker

Reinhold Remmert Duits wiskundige

Reinhold Remmert German mathematician

Reinhold Remmert matemático alemão

Reinhold Remmert mathématicien allemand

Reinhold Remmert tysk matematikar

Reinhold Remmert tysk matematiker

Remmert, R.

Remmert, R. 1930-2016

Remmert, R. (Reinhold)

Remmert, Reinhold

Remmert, Reinold 1930-2016

Реммерт, Р..

ラインホルド・レンマート

レンメルト, R

Languages
Covers
Theory of complex functionsFunktionentheorieNon-archimedean analysis : a systematic approach to rigid analytic geometryClassical topics in complex function theoryElementare ZahlentheorieSeveral complex variables VII : sheaf-theoretical methods in complex analysisFunktionentheorieMathematik - Motor der Wirtschaft : Initiative der Wirtschaft zum Jahr der Mathematik