David C Kay

College Geometry

A Unified Development

• Gebundenes Buch

Produktbeschreibung

This text presents a unified treatment of the three classical geometries: Euclidean, hyperbolic, and spherical (elliptic). This unique approach of combining all three geometries simultaneously using twelve concise axioms has never appeared in book form before at this level. The text introduces each axiom, including its reasons for use and implications, and then explains it in detail. In addition to numerous figures, examples, and exercises, the book includes Geometera (TM)s Sketchpad to help students build and investigate math models, objects, figures, and graphs. The author provides programs for students to use on a supporting website. A solutions manual is available for qualifying instructors.

Produktdetails

• Verlag: Taylor & Francis Ltd (Sales)
• Seitenzahl: 652
• Erscheinungstermin: 24. Juni 2011
• Englisch
• Abmessung: 262mm x 184mm x 38mm
• Gewicht: 1304g
• ISBN-13: 9781439819111
• ISBN-10: 1439819114
• Artikelnr.: 32811953

Autorenporträt

Now retired, David C. Kay was a professor and chairman of the Department of Mathematics at the University of North Carolina-Asheville for 14 years. He previously taught at the University of Oklahoma for 17 years. His research interests include distance geometry, convexity theory, and related functional analysis.

Inhaltsangabe

Lines
Distance
Segments
and Rays. Angles
Angle Measure
and Plane Separation. Unified Geometry: Triangles and Congruence. Quadrilaterals
Polygons
and Circles. Three Geometries. Inequalities for Quadrilaterals: Unified Trigonometry. Beyond Euclid: Modern Geometry. Transformations in Modern Geometry. Non-Euclidean Geometry: Analytical Approach. Appendices. Solutions to Selected Problems. Bibliography. Index.