Combining literary theory and historiography, Monika Otter explores the relationship between history and fiction in the Latin literature of twelfth-century England. The beginnings of fiction have commonly been associated with vernacular romance, but Otter demonstrates that writers of Latin historical narratives also employed the self-referential techniques characteristic of fiction. Beginning with inventiones, a genre dealing with the discovery of saints' relics, Otter reveals how exploring the fundamental problems of writing history and the nature of truth itself leads monastic or clerical Latin writers to a budding awareness of fictionality. According to Otter, accounts of conquests, treasure hunts, descents into underground worlds, and efforts (usually unsuccessful) to retrieve subterranean objects serve as self-referential metaphors for the problems of accessing and retrieving the past; they are thus designed to shake the reader's faith in historical representation and highlight the textuality of the historical account. Otter traces this self-conscious use of fictional elements within historical narrative through the works of William of Malmesbury, Geoffrey of Monmouth, Gerald of Wales, Walter Map, and William of Newburgh. Originally published in 1996. A UNC Press Enduring Edition -- UNC Press Enduring Editions use the latest in digital technology to make available again books from our distinguished backlist that were previously out of print. These editions are published unaltered from the original, and are presented in affordable paperback formats, bringing readers both historical and cultural value.

Combining literary theory and historiography, Monika Otter explores the relationship between history and fiction in the Latin literature of twelfth-century England. The beginnings of fiction have commonly been associated with vernacular romance, but Otter demonstrates that writers of Latin historical narratives also employed the self-referential techniques characteristic of fiction. Beginning with inventiones, a genre dealing with the discovery of saints' relics, Otter reveals how exploring the fundamental problems of writing history and the nature of truth itself leads monastic or clerical Latin writers to a budding awareness of fictionality. According to Otter, accounts of conquests, treasure hunts, descents into underground worlds, and efforts (usually unsuccessful) to retrieve subterranean objects serve as self-referential metaphors for the problems of accessing and retrieving the past; they are thus designed to shake the reader's faith in historical representation and highlight the textuality of the historical account. Otter traces this self-conscious use of fictional elements within historical narrative through the works of William of Malmesbury, Geoffrey of Monmouth, Gerald of Wales, Walter Map, and William of Newburgh. Originally published in 1996. A UNC Press Enduring Edition -- UNC Press Enduring Editions use the latest in digital technology to make available again books from our distinguished backlist that were previously out of print. These editions are published unaltered from the original, and are presented in affordable paperback formats, bringing readers both historical and cultural value.

Comprehensive account of recent developments in arithmetic theory of modular forms, for graduates and researchers.

Singular spaces with upper curvature bounds and, in particular, spaces of nonpositive curvature, have been of interest in many fields, including geometric (and combinatorial) group theory, topology, dynamical systems and probability theory. In the first two chapters of the book, a concise introduction into these spaces is given, culminating in the Hadamard-Cartan theorem and the discussion of the ideal boundary at infinity for simply connected complete spaces of nonpositive curvature. In the third chapter, qualitative properties of the geodesic flow on geodesically complete spaces of nonpositive curvature are discussed, as are random walks on groups of isometries of nonpositively curved spaces. The main class of spaces considered should be precisely complementary to symmetric spaces of higher rank and Euclidean buildings of dimension at least two (Rank Rigidity conjecture). In the smooth case, this is known and is the content of the Rank Rigidity theorem. An updated version of the proof of the latter theorem (in the smooth case) is presented in Chapter IV of the book. This chapter contains also a short introduction into the geometry of the unit tangent bundle of a Riemannian manifold and the basic facts about the geodesic flow. In an appendix by Misha Brin, a self-contained and short proof of the ergodicity of the geodesic flow of a compact Riemannian manifold of negative curvature is given. The proof is elementary and should be accessible to the non-specialist. Some of the essential features and problems of the ergodic theory of smooth dynamical systems are discussed, and the appendix can serve as an introduction into this theory.

In 1996 the AMS awarded Goro Shimura the Steele Prize for Lifetime Achievement :" To Goro Shimura for his important and extensive work on arithmetical geometry and automorphic forms; concepts introduced by him were often seminal, and fertile ground for new developments, as witnessed by the many notations in number theory that carry his name and that have long been familiar to workers in the field." 103 of Shimura ́s most important papers are collected in four volumes. Volume III contains his mathematical papers from 1978 to 1988 and some notes to the articles.

Over the last number of years powerful new methods in analysis and topology have led to the development of the modern global theory of symplectic topology, including several striking and important results. The first edition of Introduction to Symplectic Topology was published in 1995. The book was the first comprehensive introduction to the subject and became a key text in the area. A significantly revised second edition was published in 1998 introducing new sections and updates on the fast-developing area. This new third edition includes updates and new material to bring the book right up-to-date.

Issues in General and Specialized Mathematics Research: 2011 Edition is a ScholarlyEditions™ eBook that delivers timely, authoritative, and comprehensive information about General and Specialized Mathematics Research. The editors have built Issues in General and Specialized Mathematics Research: 2011 Edition on the vast information databases of ScholarlyNews.™ You can expect the information about General and Specialized Mathematics Research in this eBook to be deeper than what you can access anywhere else, as well as consistently reliable, authoritative, informed, and relevant. The content of Issues in General and Specialized Mathematics Research: 2011 Edition has been produced by the world’s leading scientists, engineers, analysts, research institutions, and companies. All of the content is from peer-reviewed sources, and all of it is written, assembled, and edited by the editors at ScholarlyEditions™ and available exclusively from us. You now have a source you can cite with authority, confidence, and credibility. More information is available at http://www.ScholarlyEditions.com/.

From the Preface by D. Ruelle:“...Rufus Bowen has left us a masterpiece of mathematical exposition... Here a numberof results which were new at the time are presented in such a clear and lucid style thatBowen's monograph immediately became a classic. More than thirty years later, manynew results have been proved in this area, but the volume is as useful as ever because itremains the best introduction to the basics of the ergodic theory of hyperbolic systems.’’ ​For this printing of R. Bowen’s book, J.-R. Chazottes has rekeyed it in TeX for easierreading, thereby correcting typos and bibliographic details.

Examination of the self-produced histories of a number of religious communities, tracing out the complex reasons for their composition. The creation of a past for themselves was of pressing importance to religious communities, enabling them to increase their status and legitimise their existence. This book examines the process in a group of communities from the southern part of Flanders (the monks of Saint-Bertin at Saint-Omer, the community of Saint-Rictrude at Marchiennes and the canons of Saint-Amé at Douai) over a period running from the ninth to the end of the eleventh century. The central contention is that the communities produced their narratives (history, hagiography, charter materials) for a specific time and purpose, frequently as a response to or intended resolution of internal or external crises. The book also discusses how the circumstances which triggered narrative production had an impact not only on the content but also on the form of the texts.

This reference presents the proceedings of an international meeting on the occasion of theUniversity of Bologna's ninth centennial-highlighting the latest developments in the field ofgeometry and complex variables and new results in the areas of algebraic geometry,differential geometry, and analytic functions of one or several complex variables.Building upon the rich tradition of the University of Bologna's great mathematics teachers, thisvolume contains new studies on the history of mathematics, including the algebraic geometrywork of F. Enriques, B. Levi, and B. Segre ... complex function theory ideas of L. Fantappie,B. Levi, S. Pincherle, and G. Vitali ... series theory and logarithm theory contributions of P.Mengoli and S. Pincherle ... and much more. Additionally, the book lists all the University ofBologna's mathematics professors-from 1860 to 1940-with precise indications of eachcourse year by year.Including survey papers on combinatorics, complex analysis, and complex algebraic geometryinspired by Bologna's mathematicians and current advances, Geometry and ComplexVariables illustrates the classic works and ideas in the field and their influence on today'sresearch.