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Geometry: A Metric Approach with Models

Geometry: A Metric Approach with Models

Autorzy
Wydawnictwo Springer, Berlin
Data wydania
Liczba stron 372
Forma publikacji książka w miękkiej oprawie
Język angielski
ISBN 9780387201399
Kategorie Geometria
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Opis książki

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.

Geometry: A Metric Approach with Models

Spis treści

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

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