Euler's Gem: The Polyhedron Formula and the Birth of Topology Год выпуска: 2008Автор: David S. RichesonИздательство: Страниц: 332ISBN: 0691126771Описание Leonhard Euler's polyhedron formula describes the structure of many objects--from soccer balls and gemstones to Buckminster Fuller's buildings and giant all-carbon molecules. Yet Euler's formula is so simple it can be explained to a child. Euler's Gem tells the illuminating story of this indispensable mathematical idea. From ancient Greek geometry to today's cutting-edge research, Euler's Gem celebrates the discovery of Euler's beloved polyhedron formula and its far-reaching impact on topology, the study of shapes. In 1750, Euler observed that any polyhedron composed of V vertices, E edges, and F faces satisfies the equation V-E+F=2. David Richeson tells how the Greeks missed the formula entirely; how Descartes almost discovered it but fell short; how nineteenth-century mathematicians widened the formula's scope in ways that Euler never envisioned by adapting it for use with doughnut shapes, smooth surfaces, and higher dimensional shapes; and how twentieth-century mathematicians...
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Дмитрий Здравствуйте, Ирина! Спасибо Вам за оказанную помощь. Не первый год заказываю сопровождение работы по Сети, но с таким добропорядочным человеком как Вы, столкнулся первый раз.
