WorldCat Identities

Lie, Sophus 1842-1899

Overview
Works: 362 works in 1,163 publications in 8 languages and 7,766 library holdings
Genres: Conference papers and proceedings  History  Biography  Periodicals 
Roles: Author, Editor, Other, Publishing director, Honoree
Classifications: QA385, 512.55
Publication Timeline
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Most widely held works about Sophus Lie
 
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Most widely held works by Sophus Lie
Sophus Lie's 1880 transformation group paper by Sophus Lie( Book )

90 editions published between 1888 and 2018 in German and English and held by 792 WorldCat member libraries worldwide

Vorlesungen über continuierliche Gruppen mit geometrischen und anderen Anwendungen by Sophus Lie( Book )

36 editions published between 1698 and 2018 in German and English and held by 538 WorldCat member libraries worldwide

Oeuvres complètes de Niels Henrik Abel by Niels Henrik Abel( Book )

40 editions published between 1881 and 2012 in 3 languages and held by 393 WorldCat member libraries worldwide

Niels Henrik Abel (1802–29) was one of the most prominent mathematicians in the first half of the nineteenth century. His pioneering work in diverse areas such as algebra, analysis, geometry and mechanics has made the adjective 'abelian' a commonplace in mathematical writing. These collected works, first published in two volumes in 1881 after careful preparation by the mathematicians Ludwig Sylow (1832–1918) and Sophus Lie (1842–99), contain some of the pillars of mathematical history. Volume 1 includes perhaps the most famous of Abel's results, namely his proof of the 'impossibility theorem', which states that the general fifth-degree polynomial is unsolvable by algebraic means. Also included in this volume is Abel's 'Paris memoir', which contains his many fundamental results on transcendental functions - in particular on elliptic integrals, elliptic functions, and what are known today as abelian integrals
Lie algebras by Zhexian Wan( Book )

6 editions published between 1964 and 1975 in English and Chinese and held by 374 WorldCat member libraries worldwide

Lie Algebras is based on lectures given by the author at the Institute of Mathematics, Academia Sinica. This book discusses the fundamentals of the Lie algebras theory formulated by S. Lie. The author explains that Lie algebras are algebraic structures employed when one studies Lie groups. The book also explains Engel's theorem, nilpotent linear Lie algebras, as well as the existence of Cartan subalgebras and their conjugacy. The text also addresses the Cartan decompositions and root systems of semi-simple Lie algebras and the dependence of structure of semi-simple Lie algebras on root systems
Geometrie der berührungstransformationen by Sophus Lie( Book )

41 editions published between 1896 and 2016 in 3 languages and held by 333 WorldCat member libraries worldwide

Theory of transformation groups I : General properties of continuous transformation groups ; a contemporary approach and translation by Sophus Lie( )

20 editions published between 1930 and 2016 in English and German and held by 309 WorldCat member libraries worldwide

This modern translation of Sophus Lie's and Friedrich Engel's "Theorie der Transformationsgruppen Band I" will allow readers to discover the striking conceptual clarity and remarkably systematic organizational thought of the original German text. Volume I presents a comprehensive introduction to the theory and is mainly directed towards the generalization of ideas drawn from the study of examples. The major part of the present volume offers an extremely clear translation of the lucid original. The first four chapters provide not only a translation, but also a contemporary approach, which will help present day readers to familiarize themselves with the concepts at the heart of the subject. The editor's main objective was to encourage a renewed interest in the detailed classification of Lie algebras in dimensions 1, 2 and 3, and to offer access to Sophus Lie's monumental Galois theory of continuous transformation groups, established at the end of the 19th Century. Lie groups are widespre
Vorlesungen über differentialgleichungen mit bekannten infinitesimalen transformationen by Sophus Lie( Book )

36 editions published between 1891 and 2018 in German and held by 299 WorldCat member libraries worldwide

Sophus Lie's 1884 differential invariant paper by Sophus Lie( Book )

11 editions published in 1976 in English and held by 235 WorldCat member libraries worldwide

Differential-Gleichungen by Sophus Lie( Book )

21 editions published between 1891 and 2004 in 3 languages and held by 207 WorldCat member libraries worldwide

Gesammelte Abhandlungen by Sophus Lie( Book )

29 editions published between 1922 and 1973 in 3 languages and held by 141 WorldCat member libraries worldwide

Geometrie der Berührungstransformationen by Sophus Lie( )

11 editions published between 1896 and 2018 in German and held by 141 WorldCat member libraries worldwide

Œuvres complètes by Niels Henrik Abel( Book )

9 editions published between 1881 and 1972 in French and Latin and held by 126 WorldCat member libraries worldwide

Über Integralinvarianten und Differentialgleichungen by Sophus Lie( )

21 editions published between 1902 and 2008 in German and English and held by 122 WorldCat member libraries worldwide

Séminaire "Sophus Lie" : [exposés] by Séminaire "Sophus Lie"( )

in French and held by 113 WorldCat member libraries worldwide

Über die Grundlagen der Geometrie by Sophus Lie( Book )

15 editions published between 1890 and 1967 in German and held by 79 WorldCat member libraries worldwide

Theorie der Transformationsgruppen by Sophus Lie( Book )

21 editions published between 1888 and 2018 in German and held by 72 WorldCat member libraries worldwide

Beiträge zur Theorie der Differentialinvarianten by Sophus Lie( Book )

7 editions published between 1992 and 1993 in German and held by 70 WorldCat member libraries worldwide

Classification der flächen nach der transformationsgruppe ihrer geodätischen curven by Sophus Lie( Book )

12 editions published between 1879 and 2018 in German and Norwegian and held by 68 WorldCat member libraries worldwide

Om Poncelet's betydning for geometrien. Et bidrag til de moderngeometriske ideers udviklingshistorie by Elling Holst( Book )

9 editions published between 1878 and 2017 in Norwegian and Danish and held by 66 WorldCat member libraries worldwide

 
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Audience level: 0.67 (from 0.53 for Felix Klei ... to 0.92 for Sur une ge ...)

WorldCat IdentitiesRelated Identities
Differential-Gleichungen
Covers
Geometrie der BerührungstransformationenSophus Lie : une pensée audacieuseGeometries, groups and algebras in the nineteenth century : a history
Alternative Names
Li, Sofus.

Li Sofus 1842-1899

Lie, Marius S. 1842-1899

Lie, Marius Sophus

Lie Marius Sophus 1842-1899

Lie, S.

Lie, Sophus

Lie, Sophus Marius.

Marius Sophus Lie matematyk norweski

Sophus Lie matemàtic noruec

Sophus Lie matematician norvegian

Sophus Lie matemático noruego

Sophus Lie matemático noruegués

Sophus Lie matematico norvegese

Sophus Lie mathématicien norvégien

Sophus Lie Noors wiskundige

Sophus Lie norsk professor och matematiker

Sophus Lie norsk professor og matematikar

Sophus Lie norsk professor og matematiker

Sophus Lie norvég matematikus

Sophus Lie norvega matematikisto

Sophus Lie Norwegian mathematician

Sophus Lie norwegischer Mathematiker

Ли, Мариус Софус

Ли Софус Мариус

Софус Ли

Софус Ли норвежский математик

Софус Ли норвешки математичар

Софус Лі

סופוס לי

סופוס לי מתמטיקאי נורווגי

سوفوس لي

سوفوس لي رياضياتي نرويجي

سوفوس لی ریاضی‌دان نروژی

소푸스 리

ソフス・リー

リー, ソーフス

索菲斯·李

Languages
German (321)

English (98)

French (49)

Norwegian (18)

Russian (4)

Danish (3)

Chinese (2)

Latin (1)