Dettaglio del documento
Euclidean, non-Euclidean, and transformational geometry : a deductive inquiry
Abstract
This undergraduate textbook provides a comprehensive treatment of Euclidean and transformational geometries, supplemented by substantial discussions of topics from various non-Euclidean and less commonly taught geometries, making it ideal for both mathematics majors and pre-service teachers.
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Emphasis is placed on developing students' deductive reasoning skills as they are guided through proofs, constructions, and solutions to problems. The text frequently emphasizes strategies and heuristics of problem solving including constructing proofs (Where to begin? How to proceed? Which approach is more promising? Are there multiple solutions/proofs? etc.). This approach aims not only to enable students to successfully solve unfamiliar problems on their own, but also to impart a lasting appreciation for mathematics [...]. (Estratto dal sito dell'editore)
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| Description | *Euclidean, non-Euclidean, and transformational geometry : a deductive inquiry / Shlomo Libeskind, Isa S. Jubran. - Cham : Birkhäuser, 2024. - 1 testo elettronico (XI, 676 p. : ill.) | |
| ISBN E-Book | 9783031741531 | |
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Congruence
Elliptic geometry Euclidean Geometry Fractal Geometry Geometric constructions Hyperbolic geometry Inversion Isometries Non-Euclidean Geometry Projective geometry Similarity Solid geometry Taxicab geometry Transformations |
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| Publication place | Cham | |
| Publisher | Birkhäuser <editore> | |
| Publication year | 2024 |