Euclidean, Non-Euclidean, and Transformational Geometry - 9783031741524

Euclidean, Non-Euclidean, and Transformational GeometryA Deductive Inquiry\nAuthor(s): Shlomo Libeskind, Isa S. Jubran\nFormat: Hardback\nPublisher: Birkhauser Verlag AG, Switzerland\nImprint: Birkhauser Verlag AG\nISBN-13: 9783031741524, 978-3031741524\nSynopsis\nThis 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. 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 unfamil.