From the reviews: "Theory of Stein Spaces provides a rich variety of methods, results, and motivations - a book with masterful mathematical care and judgement. It is a pleasure to have this fundamental material now readily accessible to any serious mathematician." --J. Eells in Bulletin of the London Mathematical Society (1980)
This introduction to the theory of complex manifolds covers the most important branches and methods in complex analysis of several variables while completely avoiding abstract concepts involving sheaves, coherence, and higher-dimensional cohomology. Only elementary methods such as power series, holomorphic vector bundles, and one-dimensional cocycles are used. Each chapter contains a variety of examples and exercises.
“When on July 20, 1944, a bomb—boldly placed inside the Wolf’s Lair (Hitler’s headquarters in East Prussia) by the German Anti-Nazi Resistance—exploded without killing the Führer, the subsequent coup d’état against the Third Reich collapsed. Most of the conspirators were summarily shot or condemned in show trials and sadistically hanged. The conspiracy involved a wide circle of former politicians, diplomats, and government officials as well as senior military men. The Resistance had started as early as 1933 and involved several planned putsches and assassination attempts. Hans B. Gisevius knew or met the major figures—including Beck, Canaris, Oster, Goerdeler, and von Stauffenberg—and barely escaped after the coup’s failure. One of the few survivors of the German Anti-Nazi Resistance, Gisevius traces its history, from the 1933 Reichstag fire to Germany’s defeat in 1945, in a book as riveting as it is exceptional.”-Print ed.
I got to know my grandfather Johann Vorndran in 1945 in the Hochtief barracks in Walldorf/Hesse when want and misery reigned everywhere in Germany. He didn’t tell much about his life in Turkey. Only occasionally did he speak Turkish with his wife Minna when he did not want us children to understand them. It was only later that I became interested in his life and that of our family. That so many documents had been preserved was a stroke of fortune. During my research, I benefited from the fact that I myself went to school in Istanbul for four years and later remained connected to Turkey both professionally and privately. The country and language are very familiar to me. Our grandfather and his family had twice left for Turkey to seek their fortune. When he “screwed” the Galata Bridge over the Golden Horn for the first time in 1911, he got to know Ottoman Constantinople. On his second move there in the autumn of 1924, he experienced the up-and-coming metropolis of Istanbul under Atatürk. During the construction of bridges in remote regions of Anatolia, he got to know the old Turkish culture. The world wars twice ended his stays in Turkey, which had become his home. When he returned to Germany, he was a German foreigner in his native country. As the work on the “Bridge Builder” progressed, I realized that the fates of his sons Hans and Willy, who were born in Constantinople, grew up there and spent substantial parts of their professional lives in Turkey, had to be included. And because life in Turkey had such a strong influence on us siblings in the third generation, a family history became inevitable. I have tried to place the life and circumstances of the family as described into a historical context in order to make them understandable for those of us who live today. It was important for me to recall the suffering and misery that National Socialism brought to countless people through its dictatorship and the criminal wars it conducted.
In this definitive analysis of the Weimar Republic, Hans Mommsen surveys the political, social, and economic development of Germany between the end of World War I and the appointment of Adolf Hitler as chancellor in 1933. His assessment of the German experiment with democracy challenges many long-held assumptions about the course and character of German history. Mommsen argues persuasively that the rise of totalitarianism in Germany was not inevitable but was the result of a confluence of specific domestic and international forces. As long as France and Britain exerted pressure on the new Germany after World War I, the radical Right hesitated to overthrow the constitution. But as international scrutiny decreased with the recognition of the legitimacy of the Weimar regime, totalitarian elements were able to gain the upper hand. At the same time, the world economic crisis of the early 1930s, with its social and political ramifications, further destabilized German democracy. This translation of the original German edition (published in 1989) brings the work to an English-speaking audience for the first time. European History
In this sixtieth anniversary edition of The Idea of Nationalism, Craig Calhoun probes the work of Hans Kohn and the world that first brought prominence to this unparalleled defense of the national ideal in the modern West. At its publication, Saturday Review called it an enduring and definitive treatise.... [Kohn] has written a book which is less a history of nationalism than it is a history of Western civilization from the standpoint of the national idea. This edition includes an extensive new introduction by Craig Calhoun, which in itself is a substantial contribution to the history of ideas. The Idea of Nationalism comprehensively analyzes the rise of nationalism, the idea's content, and its worldwide implications from the days of Hebrew and Greek antiquity to the eve of the French Revolution. As Calhoun explains, Kohn was particularly qualified to undertake this study. He grew up in Prague, the vigorous heart of Czech nationalism, participated in the Zionist student movement, studied the question of nationality in multinational cultures, spent the World War One years in Asian Russia, and later traveled extensively in the Near East studying the nationalist movements of western and southern Asia. The work itself is the product of Kohn's later years at Harvard University. In The Idea of Nationalism, Kohn presents the single most influential articulation of the distinction between civic and ethnic nationalism. This has shaped nearly all ensuing research and public discussion and deeply informed parallel oppositions of early and late, Western and Eastern varieties of nationalism. Kohn also argues that the age of nationalism represents the first period of universal history. Civilizations and continents are brought into ever closer contact; popular participation in politics is enormously increased; and the secular state is ever more significant.The Idea of Nationalism is important both in itself and because it so deeply sha
This book is about all kinds of numbers, from rationals to octonians, reals to infinitesimals. It is a story about a major thread of mathematics over thousands of years, and it answers everything from why Hamilton was obsessed with quaternions to what the prospect was for quaternionic analysis in the 19th century. It glimpses the mystery surrounding imaginary numbers in the 17th century and views some major developments of the 20th century.
The work of Hans Lewy (1904--1988) has had a profound influence in the direction of applied mathematics and partial differential equations, in particular, from the late 1920s. Two of the particulars are well known. The Courant--Friedrichs--Lewy condition (1928), or CFL condition, was devised to obtain existence and approximation results. This condition, relating the time and spatial discretizations for finite difference schemes, is now universally employed in the simulation of solutions of equations describing propagation phenomena. Lewy's example of a linear equation with no solution (1957), with its attendant consequence that most equations have no solution, was not merely an unexpected fact, but changed the viewpoint of the entire field. Lewy made pivotal contributions in many other areas, for example, the regularity theory of elliptic equations and systems, the Monge--Ampère Equation, the Minkowski Problem, the asymptotic analysis of boundary value problems, and several complex variables. He was among the first to study variational inequalities. In much of his work, his underlying philosophy was that simple tools of function theory could help one understand the essential concepts embedded in an issue, although at a cost in generality. This approach was extremely successful. In this two-volume work, most all of Lewy's papers are presented, in chronological order. They are preceded by several short essays about Lewy himself, prepared by Helen Lewy, Constance Reid, and David Kinderlehrer, and commentaries on his work by Erhard Heinz, Peter Lax, Jean Leray, Richard MacCamy, François Treves, and Louis Nirenberg. Additionally, there are Lewy's own remarks on the occasion of his honorary degree from the University of Bonn.
A history of the battle from Germany’s perspective: “An interesting account of a campaign that was decisive, but not as decisive as it could have been.” —Miniature Wargames The German Army invaded France on May 10, 1940, and in just over ten days their rapid advance, led by three panzer corps, had left three French field armies, Belgian forces, and the British Expeditionary Force with their backs to the sea, trapped along the northern coast of France. General Gort realized that evacuation was the only option, and so began a chaotic withdrawal toward the port of Dunkirk. While the Luftwaffe continued to attack pockets of Allied forces, the German ground forces were ordered to halt their advance on May 22. These orders were changed four days later—but these crucial four days of inaction allowed the Allies time to retreat into Dunkirk and prepare a defensive perimeter. The fighting during the last days of May was desperate, with the remnants of the French First Army surrounded at Lille, holding off seven German divisions until finally forced to surrender, and the Belgian Army forced to capitulate to the east of Dunkirk. Though the cost was devastatingly high, Dunkirk was held long enough for over 300,000 Allied troops to be evacuated back to England, with the remainder of the rearguard of French troops surrendering on June 4. The British narrative of the retreat and evacuation that prompted what was perhaps Winston Churchill’s most famous wartime speech has long been well-known. Only now is Hans-Adolf Jacobsen’s detailed account of the battle from the German perspective available in English.
The seminar Symplectic Geometry at the University of Berne in summer 1992 showed that the topic of this book is a very active field, where many different branches of mathematics come tog9ther: differential geometry, topology, partial differential equations, variational calculus, and complex analysis. As usual in such a situation, it may be tedious to collect all the necessary ingredients. The present book is intended to give the nonspecialist a solid introduction to the recent developments in symplectic and contact geometry. Chapter 1 gives a review of the symplectic group Sp(n,R), sympkctic manifolds, and Hamiltonian systems (last but not least to fix the notations). The 1\Iaslov index for closed curves as well as arcs in Sp(n, R) is discussed. This index will be used in chapters 5 and 8. Chapter 2 contains a more detailed account of symplectic manifolds start ing with a proof of the Darboux theorem saying that there are no local in variants in symplectic geometry. The most important examples of symplectic manifolds will be introduced: cotangent spaces and Kahler manifolds. Finally we discuss the theory of coadjoint orbits and the Kostant-Souriau theorem, which are concerned with the question of which homogeneous spaces carry a symplectic structure.
In this sixtieth anniversary edition of The Idea of Nationalism, Craig Calhoun probes the work of Hans Kohn and the world that first brought prominence to this unparalleled defense of the national ideal in the modern West. At its publication, Saturday Review called it "an enduring and definitive treatise.... [Kohn] has written a book which is less a history of nationalism than it is a history of Western civilization from the standpoint of the national idea." This edition includes an extensive new introduction by Craig Calhoun, which in itself is a substantial contribution to the history of ideas. The Idea of Nationalism comprehensively analyzes the rise of nationalism, the idea's content, and its worldwide implications from the days of Hebrew and Greek antiquity to the eve of the French Revolution. As Calhoun explains, Kohn was particularly qualified to undertake this study. He grew up in Prague, the vigorous heart of Czech nationalism, participated in the Zionist student movement, studied the question of nationality in multinational cultures, spent the World War One years in Asian Russia, and later traveled extensively in the Near East studying the nationalist movements of western and southern Asia. The work itself is the product of Kohn's later years at Harvard University. In The Idea of Nationalism, Kohn presents the single most influential articulation of the distinction between civic and ethnic nationalism. This has shaped nearly all ensuing research and public discussion and deeply informed parallel oppositions of early and late, Western and Eastern varieties of nationalism. Kohn also argues that the age of nationalism represents the first period of universal history. Civilizations and continents are brought into ever closer contact; popular participation in politics is enormously increased; and the secular state is ever more significant. The Idea of Nationalism is important both in itself and because it so deeply shaped all the work that followed it. After sixty years his interpretations and analyses remain acute and instructive.
Hans Grauert was one of the world's leading mathematicians in the field of Several Complex Variables; he not only shaped the development of this area decisively but was also responsible for some of its most important results. This representative selection of mathematical papers exhibits Grauert's influential research and reflects two decades of excellence. In this edition, each paper has been augmented by a detailed commentary, thus offering a comprehensive survey of the development of this fascinating subject from its beginnings in Münster and Göttingen. Hans Grauert may be regarded as a direct successor of Gauss, holding a chair at Göttingen that before him was held by Siegel, Weyl, Hilbert, Riemann and Gauss.
This introduction to the theory of complex manifolds covers the most important branches and methods in complex analysis of several variables while completely avoiding abstract concepts involving sheaves, coherence, and higher-dimensional cohomology. Only elementary methods such as power series, holomorphic vector bundles, and one-dimensional cocycles are used. Each chapter contains a variety of examples and exercises.
From the reviews: "Theory of Stein Spaces provides a rich variety of methods, results, and motivations - a book with masterful mathematical care and judgement. It is a pleasure to have this fundamental material now readily accessible to any serious mathematician." --J. Eells in Bulletin of the London Mathematical Society (1980)
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