Non-Euclidean geometry
H. S. M. Coxeter
Reading Time
at 250 WPM4h 41m
The average reader, reading at a speed of 250 WPM, would take 4h 41m to read Non-Euclidean geometry.
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Non-Euclidean geometry
Published
1947
Publisher
The University of Toronto press
Pages
281
Description
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.
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Frequently Asked Questions
How many pages are in Non-Euclidean geometry?
This edition of Non-Euclidean geometry has approximately 281 pages. Please note, this is an estimate and the exact page count can vary between hardcover, paperback, and e-book versions.
How long does it take to read Non-Euclidean geometry?
For most readers, Non-Euclidean geometry typically takes between 5h 51m and 3h 54m to complete. This is based on the book's length of approximately 70,250 words and common reading speeds.
Here's a detailed breakdown: • Continuous reading at 250 WPM: approximately 4h 41m of focused reading • Casual reading (30 minutes/day): you could finish in roughly 10 days • Estimated word count: 70,250 words
Your individual reading time will vary based on your personal reading pace, the amount of daily reading time, and your familiarity with the subject matter.
What is the word count of Non-Euclidean geometry?
The estimated word count for Non-Euclidean geometry is approximately 70,250 words. This figure is calculated using industry-standard methods that consider genre-specific word density patterns, typical formatting and layout characteristics, and standard words-per-page ratios for published books.
This is an approximation — actual word count may vary based on font size, formatting, edition, and the presence of illustrations or charts.
Who is the author of Non-Euclidean geometry?
Non-Euclidean geometry was written by H. S. M. Coxeter.
When was Non-Euclidean geometry published?
The publication date for this specific edition is 1947. The original work may have been published on a different date.