Böcker av David C. Kay

Connecting fundamental geometric ideas to advanced geometry, this text unifies Euclidean, elliptic, and hyperbolic geometry within an axiomatic framework. It covers topological shapes of geometric objects and includes more than 700 carefully crafted problems. Numerous examples show how geometry has real and far-reaching implications. The author

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.