WorldCat Identities

Nevanlinna, Rolf 1895-1980

Works: 189 works in 730 publications in 11 languages and 9,005 library holdings
Genres: Conference papers and proceedings  Biography  History  Bibliography 
Roles: Author, Editor, Honoree, Other, Thesis advisor, Creator
Classifications: QA331, 517.5
Publication Timeline
Most widely held works by Rolf Nevanlinna
Introduction to complex analysis by Rolf Nevanlinna( Book )

40 editions published between 1964 and 2008 in 5 languages and held by 757 WorldCat member libraries worldwide

The authors present topics usually treated in a complex analysis course, starting with basic notions (rational functions, linear transformations, analytic function), and culminating in the discussion of conformal mappings, including the Riemann mapping theorem and the Picard theorem
Eindeutige analytische Funktionen by Rolf Nevanlinna( Book )

53 editions published between 1936 and 1974 in 4 languages and held by 594 WorldCat member libraries worldwide

Uniformisierung by Rolf Nevanlinna( Book )

36 editions published between 1953 and 1967 in German and English and held by 549 WorldCat member libraries worldwide

Analytic functions by Rolf Nevanlinna( Book )

24 editions published in 1970 in 3 languages and held by 547 WorldCat member libraries worldwide

The present monograph on analytic functions coincides to a lar[extent with the presentation of the modern theory of single-value analytic functions given in my earlier works "Le theoreme de Picarc Borel et la theorie des fonctions meromorphes" (Paris: Gauthier-Villar 1929) and "Eindeutige analytische Funktionen" (Die Grundlehren dt mathematischen Wissenschaften in Einzeldarstellungen, VoL 46, 1: edition Berlin: Springer 1936, 2nd edition Berlin-Gottingen-Heidelberg Springer 1953). In these presentations I have strived to make the individual result and their proofs readily understandable and to treat them in the ligh of certain guiding principles in a unified way. A decisive step in thi direction within the theory of entire and meromorphic functions consiste- in replacing the classical representation of these functions through ca nonical products with more general tools from the potential theor (Green's formula and especially the Poisson-Jensen formula). On thi foundation it was possible to introduce the quantities (the characteristic the proximity and the counting functions) which are definitive for th
Analytic functions by Conference on Analytic Functions( Book )

27 editions published between 1960 and 2015 in English and Germanic and held by 540 WorldCat member libraries worldwide

A survey of recent developments both in the classical and modern fields of the theory. Contents include: The complex analytic structure of the space of closed Riemann surfaces; Complex analysis on noncompact Riemann domains; Proof of the Teichmuller-Ahlfors theorem; The conformal mapping of Riemann surfaces; On certain coefficients of univalent functions; Compact analytic surfaces; On differentiable mappings; Deformations of complex analytic manifolds.Originally published in 1960.The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These paperback editions preserve the original texts of these important books while presenting them in durable paperback editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905
Wertverteilung meromorpher Funktionen in ein- und mehrfach zusammenhängenden Gebieten by Alexander Dinghas( Book )

17 editions published in 1980 in German and English and held by 399 WorldCat member libraries worldwide

Absolute Analysis by F Nevanlinna( Book )

24 editions published between 1959 and 2014 in 3 languages and held by 397 WorldCat member libraries worldwide

Le théorème de Picard-Borel et la théorie des fonctions méromorphes by Rolf Nevanlinna( Book )

35 editions published between 1920 and 1992 in 3 languages and held by 372 WorldCat member libraries worldwide

Topics in analysis : [proceedings] by Olli Lehto( Book )

32 editions published between 1974 and 2008 in 3 languages and held by 367 WorldCat member libraries worldwide

Space, time, and relativity by Rolf Nevanlinna( Book )

20 editions published between 1964 and 1968 in 3 languages and held by 366 WorldCat member libraries worldwide

Absolute analysis by F Nevanlinna( Book )

18 editions published between 1959 and 1973 in English and German and held by 363 WorldCat member libraries worldwide

The first edition of this book, published in German, came into being as the result of lectures which the authors held over a period of several years since 1953 at the Universities of Helsinki and Zurich. The Introduction, which follows, provides information on what moti vated our presentation of an absolute, coordinate- and dimension-free infinitesimal calculus. Little previous knowledge is presumed of the reader. It can be recom mended to students familiar with the usual structure, based on co ordinates, of the elements of analytic geometry, differential and integral calculus and of the theory of differential equations. We are indebted to H. Keller, T. Klemola, T. Nieminen, Ph. Tondeur and K. 1. Virtanen, who read our presentation in our first manuscript, for important critical remarks. The present new English edition deviates at several points from the first edition (d. Introduction). Professor I.S. Louhivaara has from the beginning to the end taken part in the production of the new edition and has advanced our work by suggestions on both content and form. For his important support we wish to express our hearty thanks. We are indebted also to W. Greub and to H. Haahti for various valuable remarks. Our manuscript for this new edition has been translated into English by Doctor P. Emig. We express to him our gratitude for his careful interest and skillful attention during this work
Einführung in die Funktionentheorie by Rolf Nevanlinna( Book )

22 editions published between 1965 and 2014 in 4 languages and held by 312 WorldCat member libraries worldwide

Grundlagen der Geometrie by Rolf Nevanlinna( Book )

15 editions published between 1976 and 1977 in German and English and held by 247 WorldCat member libraries worldwide

Der schwächeren Formulierung von Hilbert (1956). Es wird gezeigt, dass dieses Axiom genau die Definition einer multiplikativen Untergruppe des Körpers der Inzidenzebene ist. Ein Punkt liegt nicht zwischen zwei anderen (mit ihm kollinearen) Punkten (bzw. zwei Punktpaare trennen sich nicht in der projek tiven Formulierung) genau dann, wenn das Doppelverhältnis ein Element der Untergruppe ist. Umgekehrt wird das Axiomensystem durch die Angabe einer beliebigen multiplikativen Untergruppe befriedigt. Ein vollständiges Axiomen system der Anordnung erreicht man, falls man durch ein zusätzliches Axiom die grösste eigentliche Untergruppe, zum Beispiel die mit Index 2 im Fall einer ungeraden Charakteristik, auswählt. Im Teil 2. 5 wird gezeigt, dass das schärfere Paschsche Axiom genau die Untergruppe mit Index 2 aus wählt. Im Kapitel 3 wird die Kongruenzrelation (eine euklidische Metrik) durch die gleichen Axiome wie im ersten Teil des Buches (aber ohne die Annahme über die Beschränktheit der Eichkurve) zu der vollständigen Inzidenzebene des ersten Kapitels (also unabhängig von der Anordnung) hinzugefügt. Im Teil 3. 3 wird gezeigt, dass dieses Axiomensystem für die Ebenen mit einer un geraden Charakteristik vollständig ist, wobei das Axiom 3. 2 zwar etwas schwächer als im ersten Teil des Buches formuliert werden muss, indem die Existenz von zwei inkommensurablen Eichkurven gestattet wird. Der wesent liche Teil des Beweises ist das Theorem 3. 7 von Segre (1954, 1955). Im Teil 3
Raum, Zeit und Relativität; Vorlesungen, gehalten an den Universitäten Helsinki und Zürich by Rolf Nevanlinna( Book )

27 editions published between 1964 and 2014 in 3 languages and held by 230 WorldCat member libraries worldwide

Festband zum 70. Geburtstag von Rolf Nevanlinna. Vorträge, gehalten anlässlich des zweiten Rolf Nevanlinna-Kolloquiums in Zürich vom 4-6. November 1965 by Hans Paul Künzi( Book )

12 editions published between 1966 and 1967 in German and held by 188 WorldCat member libraries worldwide

Studia logico-mathematica et philosophica : in honorem Rolf Nevanlinna ; die natali eius septuagesimo 22.X.1965 by Rolf Nevanlinna( Book )

18 editions published in 1965 in 6 languages and held by 118 WorldCat member libraries worldwide

Topics in Analysis : Colloquium on Mathematical Analysis Jyväskylä 1970 by Olli Lehto( )

2 editions published in 1974 in English and held by 67 WorldCat member libraries worldwide

XVI Rolf Nevanlinna Colloquium : proceedings of the international conference held in Joensuu, Finland, August 1-5, 1995 by Rolf Nevanlinna colloquium( Book )

2 editions published in 1996 in English and held by 45 WorldCat member libraries worldwide

Über beschränkte Funktionen die in gegebenen Punkten vorgeschriebene Werte annehmen by Rolf Nevanlinna( Book )

9 editions published in 1919 in 3 languages and held by 38 WorldCat member libraries worldwide

Dan zhi jie xi han shu by Ni fan lin na( Book )

1 edition published in 1997 in Chinese and held by 29 WorldCat member libraries worldwide

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Audience level: 0.64 (from 0.23 for Analytic f ... to 0.94 for Korkeat ma ...)

Absolute AnalysisAbsolute analysis
Alternative Names
Nevanlinna, R.

Nevanlinna, R. 1895-

Nevanlinna, R. 1895-1980

Nevanlinna, R. H.

Nevanlinna, R. H. 1895-1980

Nevanlinna, R. H. (Rolf H.), 1895-1980

Nevanlinna, R. (Rolf), 1895-

Nevanlinna, R. (Rolf), 1895-1980

Nevanlinna, Rolf.

Nevanlinna, Rolf 1895-1980

Nevanlinna, Rolf H.

Nevanlinna, Rolf Herman

Nevanlinna, Rolf Herman 1895-

Nevanlinna Rolf Herman 1895-1980

Rolf Nevanlinna finnischer Mathematiker

Rolf Nevanlinna Finnish mathematician (1895–1980) known for his research in complex analysis

Rolf Nevanlinna Fins wiskundige (1895-1980)

Rolf Nevanlinna finsk matematikar

Rolf Nevanlinna finsk matematiker

Rolf Nevanlinna matematyk fiński

Ρολφ Νεβάνλινα Φιλανδός μαθηματικός

Рольф Неванлинна финский математик

Ռոլֆ Հերման Նևանլինա



Wertverteilung meromorpher Funktionen in ein- und mehrfach zusammenhängenden GebietenAbsolute AnalysisTopics in analysis : [proceedings]Absolute analysisTopics in Analysis : Colloquium on Mathematical Analysis Jyväskylä 1970