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Introduction to the Geometry of N Dimensions

By: (Author) D. Sommerville , (Author) Howard Eves

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Ksh 2,600.00

Format: Paperback / Softback

ISBN-10: 0486842487

ISBN-13: 9780486842486

Publisher: Dover Publications Inc.

Imprint: Dover Publications Inc.

Country of Manufacture: US

Country of Publication: GB

Publication Date: Apr 30th, 2020

Print length: 224 Pages

Weight: 238 grams

Dimensions (height x width x thickness): 12.70 x 20.40 x 0.80 cms

Product Classification: Geometry

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Classic exploration of topics of perennial interest to geometers: fundamental ideas of incidence, parallelism, perpendicularity, angles between linear spaces, polytopes. Examines analytical geometry from projective and analytic points of view. 1929 edition.
For many years, this was the only English-language book devoted to the subject of higher-dimensional geometry. While that is no longer the case, it remains a significant contribution to the literature, exploring topics of perennial interest to geometers.
In the first four chapters, author D. M. Y. Sommerville explains the fundamental ideas of incidence, parallelism, perpendicularity, and angles between linear spaces. Chapter V presents analytical geometry from the projective point of view, exploring some of the simplest ideas relating to algebraic varieties and offering a more detailed account of quadratics. Chapter VI examines analytic geometry of n dimensions from the metric point of view. The remaining four chapters deal with polytopes and address some of the elementary ideas in analysis situs. Chapter VIII treats the content of hyper-special figures, and the final chapter establishes the regular polytope.
For advanced undergraduate and graduate students in mathematics as well as historians of mathematics
Dover unabridged republication of the edition originally published by Methuen & Co., London, 1929.

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