Geometry: A Metric Approach with Models (Undergraduate Texts in Mathematics) [Hardcover] Millman, Richard S. and Parker, George D.

Millman, Richard S.; Parker, George D.

ISBN 10: 0387974121 / ISBN 13: 9780387974125

Editore: Springer-Verlag 1990-12-17, 1990

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Codice articolo PALL-00574-10-15-2022

Dati bibliografici

• Titolo: Geometry: A Metric Approach with Models (Undergraduate Texts in Mathematics) [Hardcover] Millman, Richard S. and Parker, George D.
• Editore: Springer-Verlag 1990-12-17
• Data di pubblicazione: 1990
• Lingua: Inglese
• ISBN 10: 0387974121
• ISBN 13: 9780387974125
• Rilegatura: hardcover
• Edizione: seconda edizione
• Condizione: As New

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