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· 제목 : Two-dimensional Geometries (Hardcover) (A Problem-solving Approach)
· 분류 : 외국도서 > 과학/수학/생태 > 수학 > 기하학 > 기하학 일반
· ISBN : 9781470447601
· 쪽수 : 142쪽
· 출판일 : 2019-04-12
· 분류 : 외국도서 > 과학/수학/생태 > 수학 > 기하학 > 기하학 일반
· ISBN : 9781470447601
· 쪽수 : 142쪽
· 출판일 : 2019-04-12
목차
- Introduction
- Neutral geometry: Euclid's postulates for plane geometry
- Euclidean (plane) geometry: Rectangles and cartesian coordinates
- Concurrence and circles in Euclidean geometry
- Spherical geometry: Surface area and volume of the $R$-sphere in Euclidean 3-space
- Usual dot-product for three-dimensional Euclidean space: Euclidean three-space as a metric space
- Transformations
- $K$-geometry: Changing coordinates
- Uniform coordinates for the two-dimensional geometries
- Return to spherical geometry: Spherical geometry from an advanced viewpoint
- Hyperbolic geometry: The curvature $K$ becomes negative
- Definitions
- Bibliography
- Index
