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Emil J. Gumbel (1891-1966) began his career simply as a professor of mathematical statistics in Heidelberg, but he is most remembered as a political activist militantly advocating for pacifism during the complicated and volatile times of the Weimar Republic in Germany. As a Jew with left-wing socialist and democratic sensibilities, he was exiled to France and later America. Ironically, the same writings on political terror and politicized justice in Nazi Germany that caused his ostracization saved his life. A courageous man, Gumbel spoke out passionately against the Nazis and came to symbolize a 'one-man party' at the center of controversy in German academia. His intellectual and moral vigor never waned, and despite his significant scientific contributions, it is his legacy of political ideology that endures for later generations to learn from. This biography chronicles the public life of a man not entirely part of the political or the academic world, but who has earned his place in history nonetheless.
This biography chronicles the life of professor Emil J. Gumbel (1891-1966) one of Weimar Germany s foremost left-wing intellectuals. A pacifist, socialist, and human rights activist, Gumbel is best remembered for his exposes on political violence and politicized justice in Nazi Germany. A one-man party, at the center of the most acrimonious political battle in Weimar academia, Gumbel stood alone among his peers courageously speaking out against the Nazis.
It appears that we live in an age of disasters: the mighty Missis sippi and Missouri flood millions of acres, earthquakes hit Tokyo and California, airplanes crash due to mechanical failure and the seemingly ever increasing wind speeds make the storms more and more frightening. While all these may seem to be unexpected phenomena to the man on the street, they are actually happening according to well defined rules of science known as extreme value theory. We know that records must be broken in the future, so if a flood design is based on the worst case of the past then we are not really prepared against floods. Materials will fail due to fatigue, so if the body of an aircraft looks fine to the naked eye, it might still suddenly fail if the aircraft has been in operation over an extended period of time. Our theory has by now penetrated the so cial sciences, the medical profession, economics and even astronomy. We believe that our field has come of age. In or~er to fully utilize the great progress in the theory of extremes and its ever increasing acceptance in practice, an international conference was organized in which equal weight was given to theory and practice. This book is Volume I of the Proceedings of this conference. In selecting the papers for Volume lour guide was to have authoritative works with a large variety of coverage of both theory and practice.
Reproduces (translated into English) contemporary documents or writings with an introduction to each section.
Written by leading statisticians and probabilists, this volume consists of 104 biographical articles on eminent contributors to statistical and probabilistic ideas born prior to the 20th Century. Among the statisticians covered are Fermat, Pascal, Huygens, Neumann, Bernoulli, Bayes, Laplace, Legendre, Gauss, Poisson, Pareto, Markov, Bachelier, Borel, and many more.
This important book provides an up-to-date comprehensive and down-to-earth survey of the theory and practice of extreme value distributions OCo one of the most prominent success stories of modern applied probability and statistics. Originated by E J Gumbel in the early forties as a tool for predicting floods, extreme value distributions evolved during the last 50 years into a coherent theory with applications in practically all fields of human endeavor where maximal or minimal values (the so-called extremes) are of relevance. The book is of usefulness both for a beginner with a limited probabilistic background and to expert in the field. Sample Chapter(s). Chapter 1.1: Historical Survey (139 KB). Chapter 1.2: The Three Types of Extreme Value Distributions (146 KB). Chapter 1.3: Limiting Distributions and Domain of Attraction (210 KB). Chapter 1.4: Distribution Function and Moments of Type 1 Distribution (160 KB). Chapter 1.5: Order Statistics, Record Values and Characterizations (175 KB). Contents: Univariate Extreme Value Distributions; Generalized Extreme Value Distributions; Multivariate Extreme Value Distributions. Readership: Applied probabilists, applied statisticians, environmental scientists, climatologists, industrial engineers and management experts."
As he prepared to wage his war of annihilation on the Eastern Front, Adolf Hitler repeatedly drew parallels between the Nazi quest for Lebensraum, or living space, in Eastern Europe and the United States’s westward expansion under the banner of Manifest Destiny. The peoples of Eastern Europe were, he said, his “redskins,” and for his colonial fantasy of a “German East” he claimed a historical precedent in the United States’s displacement and killing of the native population. Edward B. Westermann examines the validity, and value, of this claim in Hitler's Ostkrieg and the Indian Wars. The book takes an empirical approach that highlights areas of similarity and continuity, but also explores key distinctions and differences between these two national projects. The westward march of American empire and the Nazi conquest of the East offer clear parallels, not least that both cases fused a sense of national purpose with racial stereotypes that aided in the exclusion, expropriation, and killing of peoples. Westermann evaluates the philosophies of Manifest Destiny and Lebensraum that justified both conquests, the national and administrative policies that framed Nazi and U.S. governmental involvement in these efforts, the military strategies that supported each nation’s political goals, and the role of massacre and atrocity in both processes. Important differences emerge: a goal of annihilation versus one of assimilation and acculturation; a planned military campaign versus a confused strategy of pacification and punishment; large-scale atrocity as routine versus massacre as exception. Comparative history at its best, Westermann’s assessment of these two national projects provides crucial insights into not only their rhetoric and pronouncements but also the application of policy and ideology “on the ground.” His sophisticated and nuanced revelations of the similarities and dissimilarities between these two cases will inform further study of genocide, as well as our understanding of the Nazi conquest of the East and the American conquest of the West.
An insightful, revealing history of the magical mathematics that transformed our world. The Lady Tasting Tea is not a book of dry facts and figures, but the history of great individuals who dared to look at the world in a new way. At a summer tea party in Cambridge, England, a guest states that tea poured into milk tastes different from milk poured into tea. Her notion is shouted down by the scientific minds of the group. But one man, Ronald Fisher, proposes to scientifically test the hypothesis. There is no better person to conduct such an experiment, for Fisher is a pioneer in the field of statistics. The Lady Tasting Tea spotlights not only Fisher's theories but also the revolutionary ideas of dozens of men and women which affect our modern everyday lives. Writing with verve and wit, David Salsburg traces breakthroughs ranging from the rise and fall of Karl Pearson's theories to the methods of quality control that rebuilt postwar Japan's economy, including a pivotal early study on the capacity of a small beer cask at the Guinness brewing factory. Brimming with intriguing tidbits and colorful characters, The Lady Tasting Tea salutes the spirit of those who dared to look at the world in a new way.
A companion publication to the international exhibition "Transcending Tradition: Jewish Mathematicians in German-Speaking Academic Culture", the catalogue explores the working lives and activities of Jewish mathematicians in German-speaking countries during the period between the legal and political emancipation of the Jews in the 19th century and their persecution in Nazi Germany. It highlights the important role Jewish mathematicians played in all areas of mathematical culture during the Wilhelmine Empire and the Weimar Republic, and recalls their emigration, flight or death after 1933.
This classic introduction to probability theory for beginning graduate students covers laws of large numbers, central limit theorems, random walks, martingales, Markov chains, ergodic theorems, and Brownian motion. It is a comprehensive treatment concentrating on the results that are the most useful for applications. Its philosophy is that the best way to learn probability is to see it in action, so there are 200 examples and 450 problems. The fourth edition begins with a short chapter on measure theory to orient readers new to the subject.