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Bücher Englische Bücher Wissen & Bildung Naturwissenschaft, Medizin, Informatik, Technik Mathematik Geometrie A Full Axiomatic Development of High School Geometry
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A Full Axiomatic Development of High School Geometry
David M. Clark, Samrat Pathania (Broschiert, Englisch)
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Beschreibung
This textbook provides a full and complete axiomatic development of exactly that part of plane Euclidean geometry that forms the standard content of high school geometry. It begins with a set of points, a measure of distance between pairs of points and ten simple axioms. From there the notions of length, area and angle measure, along with congruence and similarity, are carefully defined and their… properties proven as theorems. It concludes with a proof of the consistency of the axioms used and a full description of their models. It is provided in guided inquiry (inquiry-based) format with the intention that students will be active learners, proving the theorems and presenting their proofs to their class with the instructor as a mentor and a guide. The book is written for graduate and advanced undergraduate students interested in teaching secondary school mathematics, for pure math majors interested in learning about the foundations of geometry, for faculty preparing future secondary school teachers and as a reference for any professional mathematician. It is written with the hope of anchoring K-12 geometry in solid modern mathematics, thereby fortifying the teaching of secondary and tertiary geometry with a deep understanding of the subject. Dieses Produkt haben wir gerade leider nicht auf Lager.
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Technische Daten
Erscheinungsdatum
15.02.2024
Sprache
Englisch
EAN
9783031235276
Herausgeber
Springer International Publishing
Sonderedition
Nein
Autor
David M. Clark, Samrat Pathania
Seitenanzahl
134
Einbandart
Broschiert
Schlagwörter
Angle measure, Area measure, Circle measure, Euclidean geometry, Models of geometry, Neutral geometry, Plane geometry
Thema-Inhalt
PBM - Geometrie
Höhe
235 mm
Breite
15.5 cm
Hersteller: Springer, Europaplatz 3, Heidelberg, Deutschland, 69115, ProductSafety@springernature.com, Springer Nature Customer Service Center GmbH
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