In diesem Buch spurt man noch immer die Inspiration zweier grosser Mathematiker: Hilbert gilt als der letzte seiner Zunft, der in allen Gebieten der Mathematik zu Hause war. Seine grundlegend neuen Erkenntnisse pragten entscheidend die moderne Auffassung vom Wesen der Mathematik. Sein Schuler Courant ist auch heute noch anerkannt als ein ausgezeichneter Lehrer, der die Gabe hatte, schwierigste Materien verstandlich darstellen zu konnen

To an algebraist the theory of group characters presents one of those fascinating situations, where the structure of an abstract system is elucidated by a unique set of numbers inherent in the system. But the subject also has a practical aspect, since group characters have gained importance in several branches of science, in which considerations of symmetry play a decisive part. This is an introductory text, suitable for final-year undergraduates or postgraduate students. The only prerequisites are a standard knowledge of linear algebra and a modest acquaintance with group theory. Especial care has been taken to explain how group characters are computed. The character tables of most of the familiar accessible groups are either constructed in the text or included amongst the exercise, all of which are supplied with solutions. The chapter on permutation groups contains a detailed account of the characters of the symmetric group based on the generating function of Frobenius and on the Schur functions. The exposition has been made self-sufficient by the inclusion of auxiliary material on skew-symmetric polynomials, determinants and symmetric functions.

This unique study makes an important contribution to our understanding of the changing problem of 'Jewishness' in a German environment as it presented itself to a privileged group of Jews. Following on from Jews in the German Economy (OUP, 1987), which analysed the economic activities of this elite, it presents a detailed picture of the group's socio-cultural profile. Based largely on autobiographical material, it covers such matters as attitudes to Judaism, relations at different levels with Gentiles and with other Jews, marriage patterns, the public role, political culture, cultural activities, and patronage. The major underlying theme is the conflict between preservation of the Jewish identity, and integration into the surrounding society. Different forms of self-identification are examined, as well as various patterns of conformity.

With its panoramic scope and use of telling detail this definitive account will be essential reading for anyone with an interest in military history or the history of eighteenth century Europe. The Seven Years War was a global contest between the two superpowers of eighteenth century Europe, France and Britain. Winston Churchill called it “the first World War”. Neither side could afford to lose advantage in any part of the world, and the decisive battles of the war ranged from Fort Duquesne in what is now Pittsburgh to Minorca in the Mediterranean, from Bengal to Quèbec. By its end British power in North America and India had been consolidated and the foundations of Empire laid, yet at the time both sides saw it primarily as a struggle for security, power and influence within Europe. In this eagerly awaited study, Daniel Baugh, the world’s leading authority on eighteenth century maritime history looks at the war as it unfolded from the failure of Anglo-French negotiations over the Ohio territories in 1784 through the official declaration of war in 1756 to the treaty of Paris which formally ended hostilities between England and France in 1763. At each stage he examines the processes of decision-making on each side for what they can show us about the capabilities and efficiency of the two national governments and looks at what was involved not just in the military engagements themselves but in the complexities of sustaining campaigns so far from home. With its panoramic scope and use of telling detail this definitive account will be essential reading for anyone with an interest in military history or the history of eighteenth century Europe.