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Among all the Hamiltonian systems, the integrable ones have special geometric properties; in particular, their solutions are very regular and quasi-periodic. This book serves as an introduction to symplectic and contact geometry for graduate students, exploring the underlying geometry of integrable Hamiltonian systems. Includes exercises designed to complement the expositiont, and up-to-date references.
Gauge theory, symplectic geometry and symplectic topology are important areas at the crossroads of several mathematical disciplines. The present book, with expertly written surveys of recent developments in these areas, includes some of the first expository material of Seiberg-Witten theory, which has revolutionised the subjects since its introduction in late 1994. Topics covered include: introductions to Seiberg-Witten theory, to applications of the S-W theory to four-dimensional manifold topology, and to the classification of symplectic manifolds; an introduction to the theory of pseudo-holomorphic curves and to quantum cohomology; algebraically integrable Hamiltonian systems and moduli spaces; the stable topology of gauge theory, Morse-Floer theory; pseudo-convexity and its relations to symplectic geometry; generating functions; Frobenius manifolds and topological quantum field theory.
A Companion to the Medieval Papacy brings together an international group of experts on various aspects of the medieval papacy. Each chapter provides an up-to-date introduction to and scholarly interpretation of topics of crucial importance to the development of the papacy’s thinking about its place in the medieval world and of its institutional structures. Topics covered include: the Papal States; the Gregorian Reform; papal artistic self-representation; hierocratic theory; canon law; decretals; councils; legates and judges delegate; the apostolic camera, chancery, penitentiary, and Rota; relations with Constantinople; crusades; missions. The volume includes an introductory chapter by Thomas F.X. Noble on the historiographical challenges of writing medieval papal history. Contributors are: Sandro Carocci, Atria A. Larson, Andrew Louth, Jehangir Malegam, Andreas Meyer, Harald Müller, Thomas F.X. Noble, Francesca Pomarici, Rebecca Rist, Kirsi Salonen, Felicitas Schmieder, Keith Sisson, Danica Summerlin, and Stefan Weiß.
Diplomats had multiple tasks: not only negotiating with the representatives of other states, but also mediating culture and knowledge, and not least elaborating reports on their observations of politics, society, and culture. Culture, according to the studies featured in this book, is defined as a complex sphere including aspects like systems of communication, literature, music, arts, education, and the creation of knowledge. This edition containing contributions from six conferences held in Vienna and Istanbul by the Don Juan Archiv Wien focuses on the complex diplomatic and cultural relations between the Ottoman Empire and Europe from the time of the early embassies to Istanbul up to "Tanzimat".
The life (in fact the lives) of Vlad III the Impaller or Dracula is a Rorschach test. Everybody sees what they want to see in the “documentary stains”. And these “stains” are expanding. Based on research in the archives and libraries of Budapest, Dubrovnik, Genoa, Mantua, Milan, Modena, Munich, Rome, Venice and Vienna, the book focuses on the conflictive medieval, and modern images created by the clash between the classical pictures of Vlad and the still preserved coeval sources.
Increasingly, historians acknowledge the significance of crusading activity in the fifteenth century, and they have started to explore the different ways in which it shaped contemporary European society. Just as important, however, was the range of interactions which took place between the three faith communities which were most affected by crusade, namely the Catholic and Orthodox worlds, and the adherents of Islam. Discussion of these interactions forms the theme of this book. Two essays consider the impact of the fall of Constantinople in 1453 on the conquering Ottomans and the conquered Byzantines. The next group of essays reviews different aspects of the crusading response to the Turks,...
This volume celebrates Peter Edbury’s career by bringing together seventeen essays by colleagues, former students and friends which focus on three of his major research interests: the great historian of the Kingdom of Jerusalem, William of Tyre, and his Historia rerum in partibus transmarinis gestarum and its continuations; medieval Cyprus, in particular under the Lusignans; and the Military Orders in the Middle Ages. All based on original research, the contributions to this volume include new work on manuscripts, ranging from a Hospitaller rental document of the twelfth century to a seventeenth-century manuscript of Cypriot interest; studies of language and terminology in William of Tyre’s chronicle and its continuations; thematic surveys; legal and commercial investigations pertaining to Cyprus; aspects of memorialization, and biographical studies. These contributions are bracketed by a foreword written by Peter Edbury’s PhD supervisor, Jonathan Riley-Smith, and an appreciation of Peter’s own publications by Christopher Tyerman.
A monumental work of history that reveals the Ottoman dynasty's important role in the emergence of early modern Europe The Ottomans have long been viewed as despots who conquered through sheer military might, and whose dynasty was peripheral to those of Europe. The Last Muslim Conquest transforms our understanding of the Ottoman Empire, showing how Ottoman statecraft was far more pragmatic and sophisticated than previously acknowledged, and how the Ottoman dynasty was a crucial player in the power struggles of early modern Europe. In this panoramic and multifaceted book, Gábor Ágoston captures the grand sweep of Ottoman history, from the dynasty's stunning rise to power at the turn of the ...