An Introduction to The Geometry of N Dimensions - Softcover

Sommerville, D.M.Y.

Softcover

ISBN 10: 1781830312 ISBN 13: 9781781830314

Publisher: New Academic Science, 2016

Synopsis

The present introduction deals with the metrical and to a slighter extent with the projective aspect. A third aspect, which has attracted much attention recently, from its application to relativity, is the differential aspect. This is altogether excluded from the present book. In this book a complete systematic treatise has not been attempted but have rather selected certain representative topics which not only illustrate the extensions of theorems of hree-dimensional geometry, but reveal results which are unexpected and where analogy would be a faithless guide. The first four chapters explain the fundamental ideas of incidence, parallelism, perpendicularity, and angles between linear spaces. Chapters V and VI are analytical, the former projective, the latter largely metrical. In the former are given some of the simplest ideas relating to algebraic varieties, and a more detailed account of quadrics, especially with reference to their linear spaces. The remaining chapters deal with polytopes, and contain, especially in Chapter IX, some of the elementary ideas in analysis situs. Chapter VIII treats hyperspatial figures, and the final chapter establishes the regular polytopes.

Edition details

• Publisher: New Academic Science
• Publication date: 2016
• Language: English
• ISBN 10: 1781830312
• ISBN 13: 9781781830314
• Binding: Paperback
• Number of pages: 160