portada Mathematische Werke / Mathematical Works (en Inglés)

Mathematische Werke / Mathematical Works (en Inglés)

Formato

Libro Físico

Autor

Erich Kähler

Ilustrado por

Rolf Berndt

Oswald Riemenschneider

Editorial

de Gruyter

Idioma

Inglés

N° páginas

980

Encuadernación

Tapa Dura

Peso

17.30 kg.

ISBN13

9783110171181

Categorías

Cálculo y análisis matemático
Geometría
Física matemática

Mathematische Werke / Mathematical Works (en Inglés)

Erich Kähler (Autor) · Rolf Berndt (Ilustrado por) · Oswald Riemenschneider (Ilustrado por) · de Gruyter · Tapa Dura

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Reseña del libro "Mathematische Werke / Mathematical Works (en Inglés)"

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".