LUNDSGAARD HANSEN VAGN (EN) — SHADOWS OF THE CIRCLE

Тут можно читать онлайн книгу LUNDSGAARD HANSEN VAGN (EN) - SHADOWS OF THE CIRCLE - бесплатно полную версию (целиком). Жанр книги: Иностранная литература. Вы можете прочесть полную версию (весь текст) онлайн без регистрации и смс на сайте Lib-King.Ru (Либ-Кинг) или прочитать краткое содержание, аннотацию (предисловие), описание и ознакомиться с отзывами (комментариями) о произведении.

SHADOWS OF THE CIRCLE
Язык книги: Английский
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SHADOWS OF THE CIRCLE краткое содержание

SHADOWS OF THE CIRCLE - описание и краткое содержание, автор LUNDSGAARD HANSEN VAGN (EN), читать бесплатно онлайн на сайте электронной библиотеки Lib-King.Ru.

The aim of this book is to throw light on various facets of geometry through development of four geometrical themes.The first theme is about the ellipse, the shape of the shadow cast by a circle. The next, a natural continuation of the first, is a study of all three types of conic sections, the ellipse, the parabola and the hyperbola.The third theme is about certain properties of geometrical figures related to the problem of finding the largest area that can be enclosed by a curve of given length. This problem is called the isoperimetric problem. In itself, this topic contains motivation for major parts of the curriculum in mathematics at college level and sets the stage for more advanced mathematical subjects such as functions of several variables and the calculus of variations.The emergence of non-Euclidean geometries in the beginning of the nineteenth century represents one of the dramatic episodes in the history of mathematics. In the last theme the non-Euclidean geometry in the Poincaré disc model of the hyperbolic plane is developed.Contents:An Ellipse in the ShadowWith Conic Sections in the LightOptimal Plane FiguresThe Poincaré Disc Model of Non-Euclidean GeometryExercisesReadership: Pure mathematicians, professionals, high school and undergraduate students.Key Features:Over 30 well-published authors who have expertise in pediatric nephrology, pediatric urology, and pediatric radiologyComprehensive handbook dedicated to the education of the pediatric and pediatric nephrology traineeCovers general nephrology topics along with dialysis, transplantation, and neonatal nephrology

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