عنوان

Non-Euclidean geometry /

شابک

0883855224

شابک

9780883855225

شماره

dltt

عنوان اصلي

Non-Euclidean geometry /

نام عام مواد

[Book]

نام نخستين پديدآور

H.S.M. Coxeter

وضعيت ويراست

Sixth edition

نام خاص و کميت اثر

xviii, 336 pages :

ساير جزييات

illustrations ;

ابعاد

22 cm

عنوان فروست

Spectrum series

متن يادداشت

Includes bibliographical references and index

متن يادداشت

The MAA is delighted to be the publisher of the sixth edition of this book, updated with a new section 15.9 on the author's useful concept of inversive distance. Throughout most of this book, non-Euclidean geometries in spaces of two or three dimensions are treated as specializations of real projective geometry in terms of a simple set of axioms concerning points, lines, planes, incidence, order and continuity, with no mention of the measurement of distances or angles. This synthetic development is followed by the introduction of homogeneous coordinates, beginning with Von Staudt's idea of regarding points as entities that can be added or multiplied. Transformations that preserve incidence are called colineations. They lead in a natural way to elliptic isometries or "congruent transformations". Following a recommendation by Bertrand Russell, continuity is described in terms of order. Elliptic and hyperbolic geometries are derived from real projective geometry by specializing an elliptic or hyperbolic polarity which transforms points into lines (in two dimensions) or planes (in three dimensions) and vice versa. This treatment can be enjoyed by anyone who is familiar with algebra up to the elements of group theory. - Publisher

موضوع مستند نشده

Geometry, Non-Euclidean

شماره

ويراست

شماره رده

نشانه اثر

مستند نام اشخاص تاييد نشده

Coxeter, H. S. M., (Harold Scott Macdonald),1907-2003

تاريخ عمليات

20160712063235.0

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y