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9780387974125

Geometry : A Metric Approach with Models

by ;
  • ISBN13:

    9780387974125

  • ISBN10:

    0387974121

  • Edition: 2nd
  • Format: Hardcover
  • Copyright: 1991-02-01
  • Publisher: Springer Verlag
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Summary

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.

Table of Contents

Preface
Preliminary Notions
Incidence and Metric Geometry
Betweeness and elementary Figures
Plane Separation
Angle Measure
Neutral Geometry
The Theory of Parallels
Hyperbolic Geometry
Euclidean Geometry
Area
The Theory of Isometries
Bibliography
Index
Table of Contents provided by Publisher. All Rights Reserved.

Supplemental Materials

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