Two-dimensional geometries :
Clemens, C. Herbert 1939-
Two-dimensional geometries : a problem-solving approach / Two dimensional geometries 2 dimensional geometries C. Herbert Clemens. - Providence : American Mathematical Society, 2019. - vii, 142 σ. : εικ. ; 25 εκ. - Pure and applied undergraduate texts 34. . - Pure and applied undergraduate texts (American Mathematical Society) 34. .
Περιλαμβάνει βιβλιογραφικές παραπομπές και ευρετήριο.
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.
9781470447601
2018045838
Γεωμετρία, Περιγραφική
516.154
Two-dimensional geometries : a problem-solving approach / Two dimensional geometries 2 dimensional geometries C. Herbert Clemens. - Providence : American Mathematical Society, 2019. - vii, 142 σ. : εικ. ; 25 εκ. - Pure and applied undergraduate texts 34. . - Pure and applied undergraduate texts (American Mathematical Society) 34. .
Περιλαμβάνει βιβλιογραφικές παραπομπές και ευρετήριο.
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.
9781470447601
2018045838
Γεωμετρία, Περιγραφική
516.154
