By Martina Becvarova, Ivan Netuka

Karl Löwner and His pupil Lipman Bers – Pre-war Prague Mathematicians

Heritage of ecu Mathematics

Martina Bečvářová (Czech Technical college, Prague, Czech Republic)

Ivan Netuka (Charles collage, Prague, Czech Republic)

Karl Löwner and His pupil Lipman Bers – Pre-war Prague Mathematicians

ISBN print 978-3-03719-144-6, ISBN on-line 978-3-03719-644-1

DOI 10.4171/144

April 2015, 310 pages, hardcover, 17 x 24 cm.

78.00 Euro

This monograph is dedicated to 2 distinctive mathematicians, Karel Löwner (1893–1968) and Lipman Bers (1914–1993), whose lives are dramatically interlinked with key ancient occasions of the twentieth century. okay. Löwner, Professor of arithmetic on the German college in Prague (Czechoslovakia), used to be brushed aside from his place simply because he used to be a Jew, and emigrated to the us in 1939 (where he replaced his identify to Charles Loewner). previous, he had released numerous remarkable papers in complicated research and a masterpiece on matrix capabilities. particularly, his ground-breaking parametric approach in geometric functionality conception from 1923, which resulted in Löwner’s celebrated differential equation, introduced him world-wide popularity and became out to be a cornerstone in de Branges’ evidence of the Bieberbach conjecture. abruptly, Löwner’s differential equation has won fresh prominence with the creation of a conformally invariant stochastic technique referred to as stochastic Loewner evolution (SLE) via O. Schramm in 2000. SLE gains in Fields Medal citations from 2006 and 2010. L. Bers was once the ultimate Prague Ph.D. scholar of ok. Löwner. His dissertation on capability idea (1938), accomplished presently sooner than his emigration and lengthy regarded as irretrievably misplaced, was once present in 2006. it really is the following made available for the 1st time, with an in depth observation, to the mathematical community.

This monograph offers an in-depth account of the lives of either mathematicians, with precise emphasis at the pre-war interval. Löwner’s instructing actions achievements are awarded within the context of the present advanced political state of affairs and opposed to the historical past of the broader improvement of arithmetic in Europe. each one of his courses is observed via an in depth observation, tracing the foundation and motivation of the matter studied, and describing the state-of-art on the time of the corresponding mathematical box. specified awareness is paid to the impression of the implications got and to the later improvement of the underlying principles, hence connecting Löwner’s achievements to present learn task. The textual content relies on an intensive archival seek, and lots of the archival findings look the following for the 1st time.

Anyone with an curiosity in arithmetic and the historical past of arithmetic will take pleasure in interpreting this booklet approximately well-known mathematicians of the twentieth century.