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:	9780387974125
Publisher:	Springer New York
Publication date:	12/17/1990
Series:	Undergraduate Texts in Mathematics Series
Edition description:	2nd ed. 1991. Corr. 2nd printing 1993
Pages:	405
Product dimensions:	9.21(w) x 6.14(h) x 0.94(d)

Table of Contents

Preface; 1. Preliminary Notions; 2. Incidence and Metric Geometry; 3. Betweeness and elementary Figures; 4. Plane Separation; 5. Angle Measure; 6. Neutral Geometry; 7. The Theory of Parallels; 8. Hyperbolic Geometry; 9. Euclidean Geometry; 10. Area; 11. 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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