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The distinctive approach of Henderson and Taimina's volume stimulates readers to develop a broader, deeper, understanding of mathematics through active experience--including discovery, discussion, writing fundamental ideas and learning about the history of those ideas. A series of interesting, challenging problems encourage readers to gather and discuss their reasonings and understanding. The volume provides an understanding of the possible shapes of the physical universe. The authors provide extensive information on historical strands of geometry, straightness on cylinders and cones and hyperbolic planes, triangles and congruencies, area and holonomy, parallel transport, SSS, ASS, SAA, and AAA, parallel postulates, isometries and patterns, dissection theory, square roots, pythagoras and similar triangles, projections of a sphere onto a plane, inversions in circles, projections (models) of hyperbolic planes, trigonometry and duality, 3-spheres and hyperbolic 3-spaces and polyhedra. For mathematics educators and other who need to understand the meaning of geometry.
A look at the historical development of the lethal disease and its relationship with humanity. A disease of soil, animals, and people, anthrax has threatened lives for at least two thousand years. Farmers have long recognized its lasting virulence, but in our time, anthrax has been associated with terrorism and warfare. What accounts for this frightening transformation? Death in a Small Package recounts how this ubiquitous agricultural disease came to be one of the deadliest and most feared biological weapons in the world. Bacillus anthracis is lethal. Animals killed by the disease are buried deep underground, where anthrax spores remain viable for decades or even centuries and, if accidenta...
Topology, for many years, has been one of the most exciting and influential fields of research in modern mathematics. Although its origins may be traced back several hundred years, it was Poincaré who "gave topology wings" in a classic series of articles published around the turn of the century. While the earlier history, sometimes called the prehistory, is also considered, this volume is mainly concerned with the more recent history of topology, from Poincaré onwards.As will be seen from the list of contents the articles cover a wide range of topics. Some are more technical than others, but the reader without a great deal of technical knowledge should still find most of the articles accessible. Some are written by professional historians of mathematics, others by historically-minded mathematicians, who tend to have a different viewpoint.
Includes miscellaneous newsletters (Music at Michigan, Michigan Muse), bulletins, catalogs, programs, brochures, articles, calendars, histories, and posters.
This is the only text that introduces differential geometry by combining the following: an intuitive geometric foundation, a rigorous connection with the standard formalisms, computer exercises with Maple, and a problems-based approach. Has running theme on the intrinsic/extrinsic view of curves and surfaces. *Uses basic intuitive geometry as a starting point which makes the material more accessible and the formalism more meaningful. *Topics are based on and introduced through 55 core problems. *The ribbon test for geometrically finding geodesics is introduced in Chapter 1. Then it is proven that it works in Chapter 3. Finally, using ruled surfaces in Chapter 7, it is proven that almost all geodesics can be found this way. *Introduces hyperbolic geometry in the first chapter. *Supports an intuitive grasp of concepts. *Includes 19 computer projects for use with Maple. *An Instructor's Manual with complete solutions for each problem is available.
From the late nineteenth century to the late twentieth century the European banking sector experienced countless mergers and acquisitions. The outcome of this century of consolidation is strikingly similar across the continent, with the banking sector of each country now dominated by a handful of giant banking corporations. Consolidation and concentration trends in banking was the theme of the Academic Archive Colloquium of the European Association for Banking History held in Madrid in June 1997. This volume is comprised of the 18 papers and responses presented at the Colloquium by a truly international group of delegates. Some of the themes explored in the book include: the significance of mergers for bank archives; the regulation of mergers and their impact on banking legislation; reactions to consolidation from within and without the banking industry; case studies of particular mergers and their impact on the wider banking community. Youssef Cassis's introductory chapter provides a general survey of trends in the consolidation process and suggests that the advent of the Euro may herald a new era in the history of European banking consolidation.
This illustrated WWI battlefield guide explores the heroic acts honored with Victoria Crosses—and the sites where they took place—in 1918 France. Historian and battlefield tour guide Paul Oldenfield spent years researching the Victoria Cross actions of the First World War and accurately locating where each event took place. He now shares his remarkable findings with battlefield visitors and armchair historians in this fascinating series of guidebooks. This volume in the Victoria Crosses on the Western Front series covers the first Battles of the Somme in 1918, the Battle of the Lys, and other combat operation in western France. A thorough account of each VC action is set within the wider...