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Minkowski Geometry 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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A. C. Thompson 作者

Cambridge University Press

译者

1996-6-28 出版日期

368 页数

USD 158.00 价格

Hardcover

丛书系列

9780521404723 图书编码

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Minkowski Geometry 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

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Minkowski Geometry 在线电子书图书描述

Minkowski geometry is a type of non-Euclidean geometry in a finite number of dimensions in which distance is not 'uniform' in all directions. This book presents the first comprehensive treatment of Minkowski geometry since the 1940s. The author begins by describing the fundamental metric properties and the topological properties of existence of Minkowski space. This is followed by a treatment of two-dimensional spaces and characterisations of Euclidean space among normed spaces. The central three chapters present the theory of area and volume in normed spaces, a fascinating geometrical interplay among the various roles of the ball in Euclidean space. Later chapters deal with trigonometry and differential geometry in Minkowski spaces. The book ends with a brief look at J. J. Schaffer's ideas on the intrinsic geometry of the unit sphere. Minkowski Geometry will appeal to students and researchers interested in geometry, convexity theory and functional analysis.

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