A
Anthony C. Thompson
Anthony C. Thompson is the author of Kaleidoscopes and Minkowski geometry. His work explores diverse subjects, ranging from fiction to the intricacies of geometry and science.
Minkowski geometry
Synopsis
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.
Genres
Frequently asked questions
Is this book suitable for self-study?
This book is designed as a graduate-level textbook, making it suitable for advanced students and researchers. While it provides a comprehensive treatment of the subject, a strong background in functional analysis and convex geometry is beneficial for independent study.
How does this book relate to other works on non-Euclidean geometry?
This book focuses specifically on Minkowski geometry, which is a particular type of non-Euclidean geometry where the underlying space is a normed vector space. It distinguishes itself by emphasizing the interplay between geometric and analytic properties within this specific framework, rather than covering broader non-Euclidean geometries like hyperbolic or elliptic geometry.
