Hardcover ISBN:  9783037191446 
Product Code:  EMSHEM/10 
List Price:  $82.00 
AMS Member Price:  $65.60 
Hardcover ISBN:  9783037191446 
Product Code:  EMSHEM/10 
List Price:  $82.00 
AMS Member Price:  $65.60 

Book DetailsEMS Heritage of European MathematicsVolume: 10; 2015; 310 ppMSC: Primary 01; 11;
This monograph is devoted to two distinguished mathematicians, Karl Löwner (1893–1968) and Lipman Bers (1914–1993), whose lives are dramatically interlinked with key historical events of the 20th century. Karl Löwner, Professor of Mathematics at the German University in Prague (Czechoslovakia), was dismissed from his position because he was a Jew, and emigrated to the USA in 1939 (where he changed his name to Charles Loewner). Earlier, he had published several outstanding papers in complex analysis and a masterpiece on matrix functions. In particular, his groundbreaking parametric method in geometric function theory from 1923, which led to Löwner's celebrated differential equation, brought him worldwide fame and turned out to be a cornerstone in de Branges' proof of the Bieberbach conjecture.
Unexpectedly, Löwner's differential equation has gained recent prominence with the introduction of a conformally invariant stochastic process called stochastic Loewner evolution (SLE) by O. Schramm in 2000. SLE features in two Fields Medal citations from 2006 and 2010. Lipman Bers was the final Prague Ph.D. student of Löwner. His dissertation on potential theory (1938), completed shortly before his emigration and long thought to be irretrievably lost, was found in 2006. It is made accessible here for the first time, with an extensive commentary, to the mathematical community.
This monograph presents an indepth account of the lives of both mathematicians, with special emphasis on the prewar period. Löwner's teaching activities and professional achievements are presented in the context of the prevailing complex political situation and against the background of the wider development of mathematics in Europe. Each of his publications is accompanied by an extensive commentary, tracing the origin and motivation of the problem studied, and describing the stateofart at the time of the corresponding mathematical field. Special attention is paid to the impact of the results obtained and to the later development of the underlying ideas, thus connecting Löwner's achievements to current research activity. The text is based on an extensive archival search, and most of the archival findings appear here for the first time.
A publication of the European Mathematical Society (EMS). Distributed within the Americas by the American Mathematical Society.
ReadershipAnyone with an interest in the history of mathematics.

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This monograph is devoted to two distinguished mathematicians, Karl Löwner (1893–1968) and Lipman Bers (1914–1993), whose lives are dramatically interlinked with key historical events of the 20th century. Karl Löwner, Professor of Mathematics at the German University in Prague (Czechoslovakia), was dismissed from his position because he was a Jew, and emigrated to the USA in 1939 (where he changed his name to Charles Loewner). Earlier, he had published several outstanding papers in complex analysis and a masterpiece on matrix functions. In particular, his groundbreaking parametric method in geometric function theory from 1923, which led to Löwner's celebrated differential equation, brought him worldwide fame and turned out to be a cornerstone in de Branges' proof of the Bieberbach conjecture.
Unexpectedly, Löwner's differential equation has gained recent prominence with the introduction of a conformally invariant stochastic process called stochastic Loewner evolution (SLE) by O. Schramm in 2000. SLE features in two Fields Medal citations from 2006 and 2010. Lipman Bers was the final Prague Ph.D. student of Löwner. His dissertation on potential theory (1938), completed shortly before his emigration and long thought to be irretrievably lost, was found in 2006. It is made accessible here for the first time, with an extensive commentary, to the mathematical community.
This monograph presents an indepth account of the lives of both mathematicians, with special emphasis on the prewar period. Löwner's teaching activities and professional achievements are presented in the context of the prevailing complex political situation and against the background of the wider development of mathematics in Europe. Each of his publications is accompanied by an extensive commentary, tracing the origin and motivation of the problem studied, and describing the stateofart at the time of the corresponding mathematical field. Special attention is paid to the impact of the results obtained and to the later development of the underlying ideas, thus connecting Löwner's achievements to current research activity. The text is based on an extensive archival search, and most of the archival findings appear here for the first time.
A publication of the European Mathematical Society (EMS). Distributed within the Americas by the American Mathematical Society.
Anyone with an interest in the history of mathematics.