WorldCat Identities

Remmert, Reinhold

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 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, 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
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)
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, 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
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 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

Œuvres = Collected works by Henri Cartan( Book )

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

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 life-long 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

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

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

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

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
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

Lineare algebra by Eberhard Oeljeklaus( Book )

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

Numbers by Heinz-Dieter 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 p-adics, 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

Shutain kūkanron by Hans Grauert( Book )

3 editions published in 2009 in Japanese and held by 3 WorldCat member libraries worldwide

Several Complex Variables VII Sheaf-Theoretical 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 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
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Audience level: 0.73 (from 0.60 for Numbers / ... to 0.87 for Elementare ...)

Theory of complex functions
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

Theory of Stein spacesNon-archimedean analysis : a systematic approach to rigid analytic geometryElementare ZahlentheorieSeveral complex variables VII : sheaf-theoretical methods in complex analysisNumbersMathematik - Motor der Wirtschaft : Initiative der Wirtschaft zum Jahr der Mathematik