Geometry: A Metric Approach with Models (Undergraduate Texts in Mathematics)

Millman, Richard S.; Parker, George D.

ISBN 10: 0387974121 / ISBN 13: 9780387974125

Editore: Springer-Verlag, 1991

Riguardo questo articolo

Springer, 1991. Hard cover, 2nd edition. Light pencil notes on the first few pages, otherwise VG condition with no dust jacket, as issued.

Codice articolo SKU1080297

Dati bibliografici

• Titolo: Geometry: A Metric Approach with Models (Undergraduate Texts in Mathematics)
• Editore: Springer-Verlag
• Data di pubblicazione: 1991
• Lingua: Inglese
• ISBN 10: 0387974121
• ISBN 13: 9780387974125
• Rilegatura: hardcover
• Edizione: 2nd.
• Condizione: Very Good
• Peso: 56 once

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