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Anthony C. ThompsonMathematics · Non-Fiction·b. 1937
Minkowski geometry
This book explores Minkowski geometry, a non-Euclidean geometry where the linear structure mirrors Euclidean space but distance varies by direction. It delves into the topological and metric properties of Minkowski spaces, including Haar measure, isometries, and the Lowner ellipsoid. The text also examines the theory of area and volume in normed spaces, highlighting the interplay between the isoperimetrix, unit ball, and their duals. The book concludes with a discussion of trigonometry in Minkowski spaces and various numerical parameters associated with normed spaces.