Euclidean, Non-Euclidean, and Transformational Geometry A Deductive Inquiry /
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. Emphasi...
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| 主要な著者: | , |
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| 団体著者: | |
| フォーマット: | 電子媒体 eBook |
| 言語: | 英語 |
| 出版事項: |
Cham :
Springer International Publishing : Imprint: Birkhäuser,
2024.
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| 版: | 1st ed. 2024. |
| 主題: | |
| オンライン･アクセス: | https://doi.org/10.1007/978-3-031-74153-1 |
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目次:
- Preface
- Surprising Results and Basic Notions
- Congruence, Constructions, and the Parallel Postulate
- Circles
- Area and the Pythagorean Theorem
- Similarity
- Isometries and Size Transformations
- Composition of Transformations
- More Recent Discoveries
- Inversion
- Hyperbolic Geometry
- Elliptic Geometries
- Projective Geometry
- Taxicab Geometry
- Fractal Geometry
- Solid Geometry.