Geometry: A Metric Approach with Models / Edition 2

by Richard S. Millman, George D. Parker

Overview

Geometry: A Metric Approach with Models, imparts a real feeling for Euclidean and non-Euclidean (in particular, hyperbolic) geometry. Intended as a rigorous first course, the book introduces and develops the various axioms slowly, and then, in a departure from other texts, continually illustrates the major definitions and axioms with two or three models, enabling the reader to picture the idea more clearly. The second edition has been expanded to include a selection of expository exercises. Additionally, the authors have designed software with computational problems to accompany the text. This software may be obtained from George Parker.

Product Details

ISBN-13:	9780387201399
Publisher:	Springer New York
Publication date:	02/23/2014
Series:	Undergraduate Texts in Mathematics
Edition description:	2nd ed. 1991. Softcover reprint of the original 2nd ed. 1991
Pages:	372
Product dimensions:	6.10(w) x 9.25(h) x 0.03(d)

Table of Contents

Contents: Preliminary Notions.- Incidence and Metric Geometry.- Betweenness and Elementary Figures.- Plane Separation.- Angle Measure.- Neutral Geometry.- The Theory of Parallels.- Hyperbolic Geometry.- Euclidean Geometry.- Area.- The Theory of Isometries.- Bibliography.- Index.

Editorial Reviews

Text offers a modern development of classical and non-Euclidean geometries for a first course that is concerned with foundations. This revised edition (first ed. was 1981) contains some 750 problems and 250 figures and includes a number of expository exercises. Annotation c. Book News, Inc., Portland, OR (booknews.com)

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