Kähler, Erich 1906
Overview
Works:  59 works in 131 publications in 4 languages and 519 library holdings 

Roles:  Author, Honoree 
Classifications:  QA649, 516.7 
Publication Timeline
.
Most widely held works by
Erich Kähler
Einführung in die Theorie der Systeme von Differentialgleichungen by
Erich Kähler(
Book
)
21 editions published between 1934 and 1949 in German and Germanic and held by 158 WorldCat member libraries worldwide
21 editions published between 1934 and 1949 in German and Germanic and held by 158 WorldCat member libraries worldwide
Mathematische Werke = Mathematical works by
Erich Kähler(
Book
)
12 editions published between 2003 and 2011 in English and German and held by 126 WorldCat member libraries worldwide
For most mathematicians and many mathematical physicists the name Erich Kähler is strongly tied to important geometric notions such as Kähler metrics, Kähler manifolds and Kähler groups. They all go back to a paper of 14 pages written in 1932. This, however, is just a small part of Kähler's many outstanding achievements which cover an unusually wide area: From celestial mechanics he got into complex function theory, differential equations, analytic and complex geometry with differential forms, and then into his main topic, i.e. arithmetic geometry where he constructed a system of notions which is a precursor and, in large parts, equivalent to the now used system of Grothendieck and Dieudonné. His principal interest was in finding the unity in the variety of mathematical themes and establishing thus mathematics as a universal language. In this volume Kähler's mathematical papers are collected following a "Tribute to Herrn Erich Kähler" by S.S. Chern, an overview of Kähler's life data by A. Bohm and R. Berndt, and a Survey of his Mathematical Work by the editors. There are also comments and reports on the developments of the main topics of Kähler's work, starting by W. Neumann's paper on the topology of hypersurface singularities, J.P. Bourguignon's report on Kähler geometry and, among others by Berndt, Bost, Deitmar, Ekeland, Kunz and Krieg, up to A. Nicolai's essay "Supersymmetry, Kähler geometry and Beyond". As Kähler's interest went beyond the realm of mathematics and mathematical physics, any picture of his work would be incomplete without touching his work reaching into other regions. So a short appendix reproduces three of his articles concerning his vision of mathematics as a universal Theme together with an essay by K. Maurin giving an "Approach to the philosophy of Erich Kähler."
12 editions published between 2003 and 2011 in English and German and held by 126 WorldCat member libraries worldwide
For most mathematicians and many mathematical physicists the name Erich Kähler is strongly tied to important geometric notions such as Kähler metrics, Kähler manifolds and Kähler groups. They all go back to a paper of 14 pages written in 1932. This, however, is just a small part of Kähler's many outstanding achievements which cover an unusually wide area: From celestial mechanics he got into complex function theory, differential equations, analytic and complex geometry with differential forms, and then into his main topic, i.e. arithmetic geometry where he constructed a system of notions which is a precursor and, in large parts, equivalent to the now used system of Grothendieck and Dieudonné. His principal interest was in finding the unity in the variety of mathematical themes and establishing thus mathematics as a universal language. In this volume Kähler's mathematical papers are collected following a "Tribute to Herrn Erich Kähler" by S.S. Chern, an overview of Kähler's life data by A. Bohm and R. Berndt, and a Survey of his Mathematical Work by the editors. There are also comments and reports on the developments of the main topics of Kähler's work, starting by W. Neumann's paper on the topology of hypersurface singularities, J.P. Bourguignon's report on Kähler geometry and, among others by Berndt, Bost, Deitmar, Ekeland, Kunz and Krieg, up to A. Nicolai's essay "Supersymmetry, Kähler geometry and Beyond". As Kähler's interest went beyond the realm of mathematics and mathematical physics, any picture of his work would be incomplete without touching his work reaching into other regions. So a short appendix reproduces three of his articles concerning his vision of mathematics as a universal Theme together with an essay by K. Maurin giving an "Approach to the philosophy of Erich Kähler."
Algebra und Differentialrechnung by
Erich Kähler(
Book
)
12 editions published between 1953 and 1959 in German and Italian and held by 63 WorldCat member libraries worldwide
12 editions published between 1953 and 1959 in German and Italian and held by 63 WorldCat member libraries worldwide
Innerer und äusserer Differentialkalkül by
Erich Kähler(
Book
)
7 editions published in 1960 in German and held by 54 WorldCat member libraries worldwide
7 editions published in 1960 in German and held by 54 WorldCat member libraries worldwide
Forme differenziali e funzioni algebriche by
Erich Kähler(
Book
)
4 editions published in 1932 in Italian and held by 16 WorldCat member libraries worldwide
4 editions published in 1932 in Italian and held by 16 WorldCat member libraries worldwide
Über die Existenz von Gleichgewichtsfiguren rotierender Flüssigkeiten, die sich aus gewissen Lösungen des nKörperproblems
ableiten by
Erich Kähler(
Book
)
5 editions published in 1928 in German and held by 14 WorldCat member libraries worldwide
5 editions published in 1928 in German and held by 14 WorldCat member libraries worldwide
Geometria aritmetica by
Erich Kähler(
Book
)
6 editions published between 1958 and 1978 in Italian and Undetermined and held by 11 WorldCat member libraries worldwide
6 editions published between 1958 and 1978 in Italian and Undetermined and held by 11 WorldCat member libraries worldwide
Die DiracGleichung by
Eric Kähler(
Book
)
5 editions published in 1961 in German and Undetermined and held by 8 WorldCat member libraries worldwide
5 editions published in 1961 in German and Undetermined and held by 8 WorldCat member libraries worldwide
Die Mathematik als Sprache und Schrift : ein Entwurf by
Erich Kähler(
Book
)
2 editions published in 1950 in German and held by 5 WorldCat member libraries worldwide
2 editions published in 1950 in German and held by 5 WorldCat member libraries worldwide
Die Reduktion des Dreikörperproblems in geometrischer Form dargestellt by
Erich Kähler(
Book
)
2 editions published in 1926 in German and held by 5 WorldCat member libraries worldwide
2 editions published in 1926 in German and held by 5 WorldCat member libraries worldwide
Monadologie I by
Erich Kähler(
Book
)
2 editions published in 1975 in German and held by 4 WorldCat member libraries worldwide
2 editions published in 1975 in German and held by 4 WorldCat member libraries worldwide
Riemanniana : [Erich Kähler] by
Erich Kähler(
Book
)
2 editions published between 1953 and 1956 in German and held by 2 WorldCat member libraries worldwide
2 editions published between 1953 and 1956 in German and held by 2 WorldCat member libraries worldwide
Vorlesungen über Integralgeometrie by
Wilhelm Blaschke(
Book
)
2 editions published in 1949 in German and held by 2 WorldCat member libraries worldwide
2 editions published in 1949 in German and held by 2 WorldCat member libraries worldwide
Über die Integrale algebraischer Differentialgleichungen by
Erich Kähler(
Book
)
2 editions published in 1930 in German and held by 2 WorldCat member libraries worldwide
2 editions published in 1930 in German and held by 2 WorldCat member libraries worldwide
Zum Gedenken an Erich Kähler by Horst Schumann(
Book
)
1 edition published in 2000 in German and held by 2 WorldCat member libraries worldwide
1 edition published in 2000 in German and held by 2 WorldCat member libraries worldwide
Bemerkungen über die Maxwellschen Gleichungen by
Erich Kähler(
Book
)
2 editions published in 1936 in German and held by 2 WorldCat member libraries worldwide
2 editions published in 1936 in German and held by 2 WorldCat member libraries worldwide
Über die Verzweigung einer algebraischen Funktion zweier Veränderlichen in der Umgebung einer singulären Stelle by
Erich Kähler(
Book
)
1 edition published in 1929 in German and held by 2 WorldCat member libraries worldwide
1 edition published in 1929 in German and held by 2 WorldCat member libraries worldwide
Sui periodi degli integrali multipli sopra una varietà algebrica by
Erich Kähler(
Book
)
2 editions published in 1932 in Undetermined and Italian and held by 2 WorldCat member libraries worldwide
2 editions published in 1932 in Undetermined and Italian and held by 2 WorldCat member libraries worldwide
Mathematik 119159 by
Erich Kähler(
Book
)
1 edition published in 1973 in German and held by 1 WorldCat member library worldwide
1 edition published in 1973 in German and held by 1 WorldCat member library worldwide
Mathematik 6286 by
Erich Kähler(
Book
)
1 edition published in 1973 in German and held by 1 WorldCat member library worldwide
1 edition published in 1973 in German and held by 1 WorldCat member library worldwide
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Audience Level
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Related Identities
 Berndt, Rolf Editor
 Riemenschneider, O. (Oswald) Editor
 Blaschke, Wilhelm Honoree Author
 AkademieVerlag (Berlin) Publisher
 Accademia nazionale dei Lincei (Italie) Editor
 Schumann, Horst Author
 Berndt, Rolf Editor
 Hodge, W. V. D. 1903
 Rapic, Smail Editor
 De Rham, G. Author
Useful Links
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Alternative Names
Erich Kähler Duits wiskundige
Erich Kähler German mathematician
Erich Kähler germana matematikisto
Erich Kähler matemàtic alemany
Erich Kähler matemático alemán
Erich Kähler matematico tedesco
Erich Kähler mathématicien allemand
Erich Kähler tysk matematikar
Erich Kähler tysk matematiker
Kaehler, Erich 19062000
Kähler, E. 19062000
Kähler, E. (Erich), 19062000
Kähler, Erich
Kahler, Erich 19062000
Kähler, Erich b. 1906
Кэлер, Эрих
에리히 켈러
エーリッヒ・ケーラー ドイツ人数学者
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