Geometry A Metric Approach with Models

Millman, Richard S. & George D. Parker

ISBN 10: 0387974121 / ISBN 13: 9780387974125

Editore: Springer, 1990

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Undergraduate Texts in Mathematics; 1.1 x 9.21 x 6.22 Inches; 392 pages.

Codice articolo 151117

Dati bibliografici

• Titolo: Geometry A Metric Approach with Models
• Editore: Springer
• Data di pubblicazione: 1990
• Lingua: Inglese
• ISBN 10: 0387974121
• ISBN 13: 9780387974125
• Rilegatura: Hardcover
• Edizione: seconda edizione
• Condizione: Very Good

Descrizione articolo

Riassunto

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.

Contenuti

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