This book gives a comprehensive introduction to complex analysis in several variables. While it focusses on a number of topics in complex analysis rather than trying to cover as much material as possible, references to other parts of mathematics such as functional analysis or algebras are made to help broaden the view and the understanding of the chosen topics. A major focus are extension phenomena alien to the one-dimensional theory, which are expressed in the famous Hartog's Kugelsatz, the theorem of Cartan-Thullen, and Bochner's theorem. The book aims primarily at students starting to work in the field of complex analysis in several variables and instructors preparing a course. To that end, a lot of examples and supporting exercises are provided throughout the text. This second edition includes hints and suggestions for the solution of the provided exercises, with various degrees of support.
Benjamin Constant distinguished two kinds of government: unlawful government based on violence, and legitimate government based on the general will. In Europe monarchy was for over a thousand years considered the natural form of legitimate government. The sources of its legitimacy were the dynastic principle, religion, and the ability to protect against foreign aggression. At the end of the eighteenth century the revolutions in America and France called into question the traditional legitimacy of monarchy, but Volker Sellin shows that in response to this challenge monarchy opened up new sources of legitimacy by concluding alliances with constitutionalism, nationalism, and social reform. In some cases the age of revolution brought on a new type of leader, basing his claim to power on charisma.
NEW YORK TIMES BESTSELLER • This landmark biography of Hitler puts an emphasis on the man himself: his personality, his temperament, and his beliefs. “[A] fascinating Shakespearean parable about how the confluence of circumstance, chance, a ruthless individual and the willful blindness of others can transform a country — and, in Hitler’s case, lead to an unimaginable nightmare for the world.” —Michiko Kakutani, The New York Times Volker Ullrich's Hitler, the first in a two-volume biography, has changed the way scholars and laypeople alike understand the man who has become the personification of evil. Drawing on previously unseen papers and new scholarly research, Ullrich charts Hitler's life from his childhood through his experiences in the First World War and his subsequent rise as a far-right leader. Focusing on the personality behind the policies, Ullrich creates a vivid portrait of a man and his megalomania, political skill, and horrifying worldview. Hitler is an essential historical biography with unsettling resonance in contemporary times.
Modern Germany presents a comprehensive overview and interpretation of the development of Germany in the twentieth century, a country whose history has decisively shaped the map and the politics of modern Europe and the world in which we live. Professor Berghahn is not merely concerned with politics diplomacy, but also with social change, economic performance and industrial relations. For this new edition Professor Berghahn has broadened and extended his discussion of the two Germanies. He also has updated the tables and bibliography.
History that reads like a novel: the story of the writers and intellectuals behind the failed Bavarian Revolution of 1918, by the author of the acclaimed Summer Before the Dark At the end of the First World War in Germany, the journalist and theatre critic Kurt Eisner organised a revolution which overthrew the monarchy, and declared a Free State of Bavaria. In February 1919, he was assassinated, and the revolution failed. But while the dream lived, it was the writers, the poets, the playwrights and the intellectuals who led the way. As well as Eisner, Thomas Mann, Rainer Maria Rilke, and many other prominent figures in German cultural history were involved. In his characteristically lucid, sharp prose, Volker Weidermann presents us with a slice of history - November 1918 to April 1919 - and shows how a small group of people could have altered the course of the twentieth century.
From the New York Times best-selling historian comes a gripping account of the crisis of the Weimar Republic, when hyperinflation and political upheaval threatened to unravel a new experiment in democracy. As the great Austrian writer Stefan Zweig confided in his autobiography, written in exile, “I have a pretty thorough knowledge of history, but never, to my recollection, has it produced such madness in such gigantic proportions.” He was referring to the situation in Germany in 1923. It was a “year of lunacy,” defined by hyperinflation, a political system on the verge of collapse, and separatist movements that threatened Germany’s territorial integrity. Most significantly, Adolf Hitler launched his infamous Beer Hall Putsch in Munich—a failed coup that nonetheless drew international attention and demonstrated the Nazis’ ruthless determination to seize power. In Germany 1923, award-winning historian Volker Ullrich draws on letters, memoirs, newspaper articles, and other sources from the time to present a captivating new history of those explosive twelve months. The crisis began when the French invaded the Ruhr Valley in January to force Germany to pay the reparations it owed under the Treaty of Versailles, which had ended the Great War. For years, German leaders had embraced inflationary policies to finance the costs of defeat, and, as Ullrich demonstrates, the invasion utterly destroyed the value of the German mark. Before the war, the exchange rate was 4.2 marks to the dollar. By November 20, 1923, a dollar was worth an incomprehensible 4.2 trillion marks, and a loaf of bread cost 200 billion. Facing the abyss, many ordinary Germans called for a national messiah. Among the figures to vie for that role was Hitler, a thirty-four-year-old veteran who possessed a uniquely malevolent personal magnetism. Although the Nazi coup in November was put down and Hitler arrested, the putsch showed just how tenuous the first German democracy, the Weimar Republic, was at its core. As Ullrich’s panoramic narrative reveals, other Germans responded to the successive crises by launching a cultural revolution: 1923 witnessed the emergence of a multitude of new movements, from Dada to Bauhaus, and of such iconoclasts as Bertolt Brecht, George Grosz, and Franz Kafka. Yet most observers were amazed that the Weimar Republic was able to survive, and the more astute realized that the feral undercurrents unleashed could lead to much worse. Publishing a century after that fateful year, Germany 1923 is a riveting chronicle of one of the most challenging times any modern democracy has faced, one with haunting parallels to our own political moment.
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