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Hamilton's Ricci flow has attracted considerable attention since its introduction in 1982, owing partly to its promise in addressing the Poincare conjecture and Thurston's geometrization conjecture. This book gives a concise introduction to the subject with the hindsight of Perelman's breakthroughs from 2002/2003. After describing the basic properties of, and intuition behind the Ricci flow, core elements of the theory are discussed such as consequences of various forms of maximum principle, issues related to existence theory, and basic properties of singularities in the flow. A detailed exposition of Perelman's entropy functionals is combined with a description of Cheeger-Gromov-Hamilton compactness of manifolds and flows to show how a 'tangent' flow can be extracted from a singular Ricci flow. Finally, all these threads are pulled together to give a modern proof of Hamilton's theorem that a closed three-dimensional manifold which carries a metric of positive Ricci curvature is a spherical space form.
The Northumberland Archaeological Group’s (NAG) Wether Hill project spanned the years 1994–2015 and was located on the eponymous hilltop overlooking the mouth of the Breamish Valley in the Northumberland Cheviots. The project had been inspired by the RCHME’s ‘Southeast Cheviots Project’ that had discovered and recorded extensive prehistoric and later landscapes. The NAG project investigated several sites. Over the 11 seasons of excavation, NAG recorded evidence of residual Mesolithic activity (microliths), a burial cairn containing two Beakers in an oak coffin, which was superseded by a stone-built cist containing three Food Vessels, Iron Age cord rig cultivation and clearance cairns, a series of Middle/Late Iron Age timber-built palisaded enclosures, a cross-ridge dyke, which protected the southern approach to the Wether Hill fort, and sampled the multi-period bivallate hillfort. The hillfort sequence on Wether Hill began with a succession of palisaded enclosures, which were later replaced by bivallate earth and stone defenses; both phases appear to have been associated with timber-built houses. Eventually the fort was abandoned, and three stone-built roundhouses were constructed in the fort. The 18 radiocarbon dates obtained from various contexts in the hillfort makes this site one of the better dated forts in the Borders. The chronology of the Wether Hill fort spanned the Middle/Late Iron Age, which corresponds with dates from palisaded enclosures excavated elsewhere on the hilltop spur. Taken together, this evidence provides a snapshot of settlement hierarchies and agricultural practices during the later Iron Age in this part of the Northumberland Cheviots. The excavations also help contextualise some of the RCHME survey evidence, providing data to model chronology, potential prehistoric settlement density and land-use patterns at different time periods in the well-preserved archaeological landscapes of the Cheviots.
Only rarely in Europe do the surface remains of Neolithic flint mines remain so dramatically for all to see as those located along the South Downs and in the Breckland of England. Even within England they represent a diminishing resource and only ten sites have been recorded with any certainty. As examples of our earliest industrial heritage they represent archaeological sites of the first importance and have a special part to play in the history of technology. However, despite a lengthy history of archaeological investigation, they have rarely been considered nationally as a class of monument. Although some sites such as Grime's Graves are well known through excavation campaigns, others are known only through obscure articles and unpublished archival material. Many of those that survive as earthworks or cropmarks have never been surveyed previously or accurately planned. Consequently, English Heritage has compiled detailed plans of the surface areas of all of the known flint mines and investigated the sites of other potential examples. Using a combination of field survey, aerial photography and archival research, this volume looks at each site in its own right as a major and important complex and - for the first time - offers a synthesis of the evidence to date.
A one-volume, MBA-level course for becoming more than a manager--by developing true leadership skills. While managerial competence is important in laying the foundation for a successful career, you'll need demonstrated leadership skills to reach the top rungs of the organizational ladder. Managerial Leadership explains how to successfully manage projects and activities while at the same developing a confident, self-aware leadership style that is both genuine and consistently influential.. This handy paperback edition of a popular McGraw-Hill Executive MBA Series hardcover title features: . . Proven steps for creating and executing a personalized leadership plan . Techniques for using popular "360 Feedback" tools to enhance leadership behaviors . Ten specific suggestions to promote risk-taking and innovation among coworkers and associates . . Managerial Leadership outlines a comprehensive approach to leadership that recognizes and capitalizes on interactions between the leader, the task, and the followers. It will provide you with the techniques and strategies you need to develop valuable leadership effectiveness, while cultivating a strong leadership organization.. . Look for these other value-packed paperback titles in the
McGRAW-HILL EXECUTIVE MBA SERIES:
Twenty-five papers presented to Norman Quinnell. Their common theme, appropriately, is field survey. They range from reviews of past fieldwork, from Aubrey onwards, to surveys of particular sites, mostly earthworks: pre-historic in Cornwall, Somerset, Hampshire; hillforts etc. in Cheshire, Sutherland and Caithness Northumberland; mottes and medieval earthworks in Dorset, Berkshire, Yorkshire, Cambridgeshire; gardens in Shropshire; the defences of Bristol and St Mary's, the Isles of Scilly etc.
Strange and exotic, seductive and threatening, the Orient has always been an enchanted space for the West. But this is a space, theorists argue, that has been 'Orientalized' by the West, constructed upon a system of knowledge and power which defines the West as much as this 'Other'. Within Western cultures, the French encounter with the Orient has been extraordinarily rich and varied, from the experiences of the first pilgrims to the challenges posed for the identity of modern-day France by its ethnic minorities. This collection of interdisciplinary essays explores the range of French and francophone encounters with the East from the medieval period to the present day. The contributions encompass a variety of Orients, both geographical and generic: the Orients of the visual arts, of historicist discourse, of fiction and travel writing. They consider not only those artists we immediately associate with the East, such as Nerval or Fromentin, but also those, like Proust, whose work appears firmly rooted in the West. They also provide new insights into the less familiar works of long-celebrated authors like Flaubert and more recently acclaimed writers such as Bouvier and Djebar.
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