WorldCat Identities

Weyl, Hermann 1885-1955

Works: 468 works in 2,299 publications in 13 languages and 26,603 library holdings
Genres: Biography  Conference papers and proceedings 
Roles: Author, Editor, Honoree, Creator, Contributor, Other, Inscriber, Author of introduction, Translator, Redactor
Publication Timeline
Most widely held works about Hermann Weyl
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Most widely held works by Hermann Weyl
Symmetry by Hermann Weyl( Book )

121 editions published between 1938 and 2016 in 9 languages and held by 3,105 WorldCat member libraries worldwide

Dr. Weyl presents a masterful and fascinating survey of the applications of the principle of symmetry in sculpture, painting, architecture, ornament, and design; its manifestations in organic and inorganic nature; and its philosophical and mathematical significance. -- Scientific American
Mind and nature : selected writings on philosophy, mathematics, and physics by Hermann Weyl( )

32 editions published between 1934 and 2014 in English and German and held by 2,240 WorldCat member libraries worldwide

Hermann Weyl (1885-1955) was one of the twentieth century's most important mathematicians, as well as a seminal figure in the development of quantum physics and general relativity. He was also an eloquent writer with a lifelong interest in the philosophical implications of the startling new scientific developments with which he was so involved. Mind and Nature is a collection of Weyl's most important general writings on philosophy, mathematics, and physics, including pieces that have never before been published in any language or translated into English, or that have long been out of print. Co
Philosophy of mathematics and natural science by Hermann Weyl( Book )

159 editions published between 1917 and 2009 in 4 languages and held by 2,030 WorldCat member libraries worldwide

Hermann Weyls "Philosophie der Mathematik und Naturwissenschaft" erschien erstmals 1928 als Beitrag zu dem von A. Bäumler und M. Schröter herausgegebenen "Handbuch der Philosophie". Die amerikanische Ausgabe, auf der die deutsche Übersetzung von Gottlob Kirschmer beruht, erschien 1949 bei Princeton University Press. Das nunmehr bereits in der 8. Auflage vorliegende Werk ist längst auch in Deutschland zum Standardwerk geworden
Space, time, matter by Hermann Weyl( Book )

120 editions published between 1919 and 2013 in 7 languages and held by 1,758 WorldCat member libraries worldwide

Long one of the standard texts in the field, this excellent introduction probes deeply into Euclidean space, Riemann's space, Einstein's general relativity, gravitational waves and energy, and laws of conservation
The theory of groups and quantum mechanics by Hermann Weyl( Book )

132 editions published between 1926 and 2014 in 5 languages and held by 1,602 WorldCat member libraries worldwide

The principle of relativity : a collection of original memoirs on the special and general theory of relativity by H. A Lorentz( Book )

36 editions published between 1923 and 2005 in English and held by 1,436 WorldCat member libraries worldwide

This collection of original papers on the special and general theories of relativity is an unabridged translation of the 4th edition of Das Relativitatsprinzip, together with a revised edition of an additional paper by H. A. Lorentz
The classical groups : their invariants and representations by Hermann Weyl( Book )

106 editions published between 1939 and 2016 in 3 languages and held by 1,393 WorldCat member libraries worldwide

In this renowned volume, Hermann Weyl discusses the symmetric, full linear, orthogonal, and symplectic groups and determines their different invariants and representations. Using basic concepts from algebra, he examines the various properties of the groups. Analysis and topology are used wherever appropriate. The book also covers topics such as matrix algebras, semigroups, commutators, and spinors, which are of great importance in understanding the group-theoretic structure of quantum mechanics. Hermann Weyl was among the greatest mathematicians of the twentieth century. He made fundamental contributions to most branches of mathematics, but he is best remembered as one of the major developers of group theory, a powerful formal method for analyzing abstract and physical systems in which symmetry is present. In The Classical Groups, his most important book, Weyl provided a detailed introduction to the development of group theory, and he did it in a way that motivated and entertained his readers. Departing from most theoretical mathematics books of the time, he introduced historical events and people as well as theorems and proofs. One learned not only about the theory of invariants but also when and where they were originated, and by whom. He once said of his writing, "My work always tried to unite the truth with the beautiful, but when I had to choose one or the other, I usually chose the beautiful." Weyl believed in the overall unity of mathematics and that it should be integrated into other fields. He had serious interest in modern physics, especially quantum mechanics, a field to which The Classical Groups has proved important, as it has to quantum chemistry and other fields. Among the five books Weyl published with Princeton, Algebraic Theory of Numbers inaugurated the Annals of Mathematics Studies book series, a crucial and enduring foundation of Princeton's mathematics list and the most distinguished book series in
Hilbert by Constance Reid( Book )

38 editions published between 1970 and 2010 in 5 languages and held by 1,276 WorldCat member libraries worldwide

If the life of any 20th century mathematician can be said to be a history of mathematics in his time, it is that of David Hilbert. To the enchanted young mathematicians and physicists who flocked to study with him in Gottingen before and between the World Wars, he seemed mathematics personified, the very air around him "scientifically electric." His remarkably prescient proposal in 1900 of twenty-three problems for the coming century set the course of much subsequent mathematics and remains a feat that no scientist in any field has been able to duplicate. When he died, Nature remarked that there was scarcely a mathematician in the world whose work did not derive from that of Hilbert. Constance Reid's classic biography is a moving, nontechnical account of the passionate scientific life of this man - from the early days in Konigsberg, when his revolutionary work was dismissed as "theology," to the golden years in Gottingen before Hitler came to power and within a few months destroyed the entire Hilbert school. The Copernicus paperback edition makes this book available to new generations of mathematicians who know the name Hilbert, which is everywhere in mathematics, but do not know the man
Algebraic theory of numbers by Hermann Weyl( Book )

83 editions published between 1940 and 2012 in 4 languages and held by 1,197 WorldCat member libraries worldwide

Raum. Zeit. Materie. Vorlesungen über allgemeine relativitätstheorie by Hermann Weyl( Book )

125 editions published between 1918 and 2013 in 3 languages and held by 857 WorldCat member libraries worldwide

Aus dem Vorwort von Jürgen Ehlers zur 7. Auflage: "Die ... Entwicklung der Physik macht verständlich, warum ein so "altes" Werk wie Raum, Zeit, Materie noch aktuell ist: Die Riemann-Einsteinsche Raumzeitstruktur, die von Weyl so meisterhaft beschrieben und aus ihren mathematischen und physikalischen Wurzeln hervorwachsend dargestellt wird, ist immer noch die physikalisch umfassendste und erfolgreichste Raumzeittheorie, die bisher entwickelt und mit der Erfahrung konfrontiert wurde. (...) Als erstes Lehrbuch der noch neuen Theorie setzt es sich gründlicher als spätere Bücher mit den historischen Wurzeln und den sachlichen Motiven auseinander, die zur Einführung der damals neuen Begriffe wie Zusammenhang und Krümmung in die Physik geführt haben. Zweitens ist es von dem vielleicht letzten Universalisten geschrieben worden, der alle wesentlichen Entwicklungen der Mathematik und Physik seiner Zeit nicht nur überblickte, sondern in wesentlichen Teilen mitgestaltete. Das Studium dieses Werkes vermittelt nicht nur die Grundzüge der beiden Relativitätstheorien, sondern zeigt Zusammenhänge mit anderen Ideen, nicht zuletzt auch der Naturphilosophie auf."
The concept of a Riemann surface. Translated from the German by Gerald R. Maclane by Hermann Weyl( Book )

37 editions published between 1955 and 2013 in English and German and held by 602 WorldCat member libraries worldwide

This classic on the general history of functions was written by one of the twentieth century's best-known mathematicians. Hermann Weyl, who worked with Einstein at Princeton, combined function theory and geometry in this high-level landmark work, forming a new branch of mathematics and the basis of the modern approach to analysis, geometry, and topology. The author intended this book not only to develop the basic ideas of Riemann's theory of algebraic functions and their integrals but also to examine the related ideas and theorems with an unprecedented degree of rigor. Weyl's two-part treatment begins by defining the concept and topology of Riemann surfaces and concludes with an exploration of functions of Riemann surfaces. His teachings illustrate the role of Riemann surfaces as not only devices for visualizing the values of analytic functions but also as indispensable components of the theory
Meromorphic functions and analytic curves by Hermann Weyl( Book )

33 editions published between 1943 and 2016 in English and held by 564 WorldCat member libraries worldwide

The book description for the forthcoming "Meromorphic Functions and Analytic Curves. (AM-12)" is not yet available
Gesammelte Abhandlungen by H Minkowski( Book )

32 editions published between 1911 and 2018 in 3 languages and held by 477 WorldCat member libraries worldwide

Die Idee der Riemannschen Fläche by Hermann Weyl( Book )

42 editions published between 1923 and 1974 in 3 languages and held by 428 WorldCat member libraries worldwide

Symmetrie by Hermann Weyl( Book )

27 editions published between 1955 and 2017 in 3 languages and held by 388 WorldCat member libraries worldwide

UND BIBLIOGRAPHISCHE BEMERKUNGEN Beginnend mit der etwas vagen Vorstellung von Symmetrie als Harmonie der Proportionen entwickeln diese vier V ortrage stufen weise zuerst den Begriff der geometrischen Symmetrie in ihren ver schiedenen Formen als bilaterale, translative, rotative, ornamentale und kristallographische Symmetrie und steigen schlieGlich zu der allgemeinen, all dies en speziellen Formen zugrunde liegenden Idee auf, namlich der Idee der Invarianz eines Gebildes gegenuber einer Gruppe automorpher Transformationen. Ich habe dabei zweiDinge im Auge: einerseits die groGe Mannigfaltigkeit der Anwendungen des Symmetrieprinzips in der Kunst, in der anorganischen und der organischen Natur aufzuzeigen, andererseits Schritt fUr Schritt die philosophisch-mathematische Bedeutung des Symmetriebegriffs zu klaren. Dieses letztere Ziel erfordert die Gegenuberstellung der Prinzipien von Symmetrie und Relativitat, wahrend dem ersteren zahlreiche den Text erlauternde Illustrationen zu dienen bestimmt sind. Als Leser dieses Buchs hatte ich einen weiteren Kreis als den gelehrter Spezialisten im Sinn. Das Buch meidet die Mathematik nicht (damit wurde es seinen Zweck verfehlen), aber die ausfuhr liche Behandlung, insbesondere die vollstandige mathematische Be handlung der meisten darin betrachteten Probleme liegt auGerhalb seines Zielbereichs. Den Vortragen, welche in leicht modifizierter Form die yom Verfasser an der Universitat Princeton im Februar 1951 gehaltenen Louis Clark Vanuxem Lectures wiedergeben, sind zwei Anhiinge mit mathematischen Beweisen angefugt worden. Andere Bucher aus diesem Gebiet, wie zumBeispiel F.M. JAEGERS klassisches Werk Lectures on the principle of . rymmetry and its appli cations in natural science (Amsterdam und London 1917) oder das viel kleinere und neuereBuchlein von JACQUES NICoLLE, La
The continuum : a critical examination of the foundation of analysis by Hermann Weyl( Book )

25 editions published between 1987 and 2001 in English and held by 370 WorldCat member libraries worldwide

Gesammelte Abhandlungen by Hermann Weyl( Book )

28 editions published between 1968 and 2014 in 3 languages and held by 361 WorldCat member libraries worldwide

Die Idee der Riemannschen Fläche by Hermann Weyl( Book )

35 editions published between 1913 and 1997 in German and English and held by 349 WorldCat member libraries worldwide

Hermann Weyls im Verlag B.G. Teubner in Leipzig erschienenes Jugendwerk "Die Idee der Riemannschen Flc̃he" war bahnbrechend für die Entwicklung der Mathematik des 20. Jahrhundrts. Es ist aus Weyls Vorlesung vom Wintersemester 1911/12 an der Universitt̃ Gt̲tingen hervorgegangen. Diese von Reinhold Remmert herausgegebene Edition des mathematischen Kultbuches aus dem 1913 wird komplettiert durch aktuelle Essays führender Wissenschaftler und durch biographische Materialien. Der Herausgeber schreibt in seinem Prom̲ium: "Weyl war 1912 seiner Zeit voraus ... An die Stelle der erfindungsreichen schp̲ferischen Phantasie eines Riemann und Klein, die ein verheißenes Land suchte, tritt der systematische Anbau auf sicher erworbenem Boden. Das Werk mit seinem Reichtum an Gedanken trg̃t den Keim zukünftiger Entwicklung in sich: es bereitete den Weg zur Theorie der topologischen, differenzierbaren und komplexen Mannigfaltigkeiten."
Selecta Hermann Weyl by Hermann Weyl( Book )

36 editions published between 1956 and 1958 in 5 languages and held by 317 WorldCat member libraries worldwide

The open world; three lectures on the metaphysical implications of science by Hermann Weyl( Book )

31 editions published between 1932 and 1989 in English and held by 316 WorldCat member libraries worldwide

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Audience level: 0.46 (from 0.09 for Mind and n ... to 0.94 for Albert Ein ...)

WorldCat IdentitiesRelated Identities
Mind and nature : selected writings on philosophy, mathematics, and physicsPhilosophy of mathematics and natural scienceSpace, time, matterThe theory of groups and quantum mechanicsThe principle of relativity : a collection of original memoirs on the special and general theory of relativityThe classical groups : their invariants and representationsAlgebraic theory of numbersThe concept of a Riemann surface. Translated from the German by Gerald R. Maclane
Alternative Names
Herman Veyl

Hermanis Veils

Hermann Weyl deutscher Mathematiker

Hermann Weyl German mathematician

Hermann Weyl Germana matematikisto

Hermann Weyl matemàtic alemany

Hermann Weyl matemático alemán

Hermann Weyl matematico tedesco

Hermann Weyl mathématicien allemand

Hermann Weyl mathématicien et physicien théoricien allemand

Hermann Weyl Saksamaa matemaatik

Hermann Weyl tysk matematikar

Hermann Weyl tysk matematiker

Hermann Weyl wiskundige uit Duitse Keizerrijk (1885-1955)

Veĭl, German

Veĭlʹ, German 1885-1955

Veils, Hermanis Klauss Hugo, 1885-1955

Vejl', G.

Vejl, G. 1885-1955

Vejl, German.

Vejl, German 1885-1955

Wairu, H. 1885-1955

Wairu, Heruman 1885-1955

Weyl, Claus Hugo Hermann.

Weyl Claus Hugo Hermann 1885-1955

Weyl H.

Weyl H. 1885-1955

Weyl, H. C. 1885-1955

Weyl, H. C. H. 1885-1955

Weyl, Herm 1885-1955

Weyl, Herm (Hermann), 1885-1955

Weyl, Herman

Weyl, Herman 1885-1955

Weyl Hermann

Weyl, Hermann C. H. 1885-1955

Weyl, Hermann Claus H. 1885-1955

Weyl, Hermann Claus Hugo 1885-1955

Weyl, Hermann Klaus Hugo

Weyl, Klaus Hugo Hermann 1885-1955

Χέρμαν Βέιλ

Вейль Г

Вейль, Г 1885-1955

Вейль Г. К. Х

Вейль Г. К. Х. 1885-1955

Вейль, Герман

Герман Вейль немецкий математик и физик-теоретик

Херман Вайл

Херман Вајл

Հելման Վեյլ

הרמן וייל מתמטיקאי גרמני

ווייל, הרמאן

וייל, הרמן

ויל, הרמן

هرمان ویل ریاضی‌دان آلمانی

هيرمان فايل

هيرمان فايل رياضياتي ألماني

হের্মান ভাইল

হের্মান ভাইল জার্মান গণিতবিদ

ဟာမန် ဗိုင်းလ်

헤르만 바일


ヴァイル, ヘルマン


ワイル, H

ワイル, ヘルマン