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612-822-4611
Geometry by Construction: Object Creation and Problem-Solving in Euclidean and Non-Euclidean Geometries

Geometry by Construction: Object Creation and Problem-Solving in Euclidean and Non-Euclidean Geometries

Hardcover

Geometry

ISBN10: 1627341293
ISBN13: 9781627341295
Publisher: Upublish.Com
Published: Feb 5 2015
Pages: 150
Weight: 1.21
Height: 0.38 Width: 8.00 Depth: 10.00
Language: English

College geometry students, professors interested in undergraduate research and secondary geometry teachers will find three rich environments in this textbook. The first chapter contains many of the standards of Euclidean college geometry. The second and third chapters introduce non-Euclidean models where some Euclidean rules hold and others do not. With emphases on constructions and proofs, the reader is encouraged to create the objects under investigation and verify the results with reasoning. Since both models of bent spaces exist in Euclidean geometry, the reader gains facility with Euclidean moves through the whole book, even while exploring non-Euclidean spaces. The book itself is meant to be unpacked, expanded and taken further, just like the problems it contains.

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Geometry