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This collection of surveys consists in part of extensions of papers presented at the conferences on convexity at the Technische Universitat Wien (July 1981) and at the Universitat Siegen (July 1982) and in part of articles written at the invitation of the editors. This volume together with the earlier volume «Contributions to Geometry» edited by Tolke and Wills and published by Birkhauser in 1979 should give a fairly good account of many of the more important facets of convexity and its applications. Besides being an up to date reference work this volume can be used as an advanced treatise on convexity and related fields. We sincerely hope that it will inspire future research. Fenchel, in his paper, gives an historical account of convexity showing many important but not so well known facets. The articles of Papini and Phelps relate convexity to problems of functional analysis on nearest points, nonexpansive maps and the extremal structure of convex sets. A bridge to mathematical physics in the sense of Polya and Szego is provided by the survey of Bandle on isoperimetric inequalities, and Bachem's paper illustrates the importance of convexity for optimization. The contribution of Coxeter deals with a classical topic in geometry, the lines on the cubic surface whereas Leichtweiss shows the close connections between convexity and differential geometry. The exhaustive survey of Chalk on point lattices is related to algebraic number theory. A topic important for applications in biology, geology etc.
This book recasts one of the most well-studied and popularly-beloved eras in history: the tumultuous span from the 1485 accession of Henry VII to the 1603 death of Elizabeth I. Though many have gravitated toward this period for its high drama and national importance, the book offers a new narrative by focusing on another facet of the British past that has exercised an equally powerful grip on audiences: imperialism. It argues that the sixteenth century was pivotal to the making of both Britain and the British Empire. Unearthing over a century of theorizing about and probing into the world beyond England’s borders, Tudor Empire shows that foreign enterprise at once mirrored, responded to, and provoked domestic politics and culture, while decisively shaping the Atlantic World. Demonstrating that territorial expansion abroad and national consolidation and identity formation at home were concurrent, intertwined, and mutually reinforcing, the author examines some of the earliest ventures undertaken by the crown and its subjects in France, Scotland, Ireland, and the Americas. Tudor Empire is a thought-provoking, essential read for those interested in the Tudors and the British Empire that they helped create.
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This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.