Euclidean and Non-Euclidean Geometry 作者:Ryan, Patrick J. 出版社:Cambridge Univ Pr 出版年:1986-6 页数:236 定价:$ 61.02 装帧:Pap ISBN:9780521276351 豆瓣评分 目前无人评价 评价: 写笔记 写书评 加入购书单 分享到
euclideangeometrynon里德几何axioms EUCLIDEAN AND NON-EUCLIDEAN GEOMETRY The appearance on the mathematical scene a century and a half ago of non-Euclidean geometry was accompanied by considerable belief and shock. Any mathematical scheme such as algebra, geometry, arithmetic etc., can be presented as...
development and philosophical significance of non-Euclidean geometry as well as of the rigorous foundations for it and for elementary Euclidean geometry, essentially according to Hilbert. Appropriate for liberal arts students, prospective high school teachers, math. majors, and even bright high school st...
内容提示: Topics in Geometry, 189-348A, Part 2Olga Kharlampovich1 Euclidean and non-Euclidean geometries1.1 Euclid's ¯rst four postulatesEuclid based his geometry on ¯ve fundamental assumptions, called axioms or postulates.Euclid postulate 1. For every point P and for every point Q not ...
the conclusion of Riemann's and Helmholtz's inquiries into the foundations of geometry appeared to be confirmed: Euclidean geometry does not provide us with the necessary presuppositions for empirical measurement, because both Euclidean and non-Euclidean assumptions can be obtained as special cases of...
Euclidean and Non-Euclidean Geometry 来自 ResearchGate 喜欢 0 阅读量: 59 作者: PJ Ryan 摘要: This book gives a rigorous treatment of the fundamentals of plane geometry: Euclidean, spherical, elliptical and hyperbolic. The primary purpose is to acquaint the reader with the classical results of ...
Choose an answer and hit 'next'. You will receive your score and answers at the end. question 1 of 3 What is the main difference between Euclidean and non-Euclidean geometry? Euclidean geometry only deals with straight lines, while non-Euclidean geometry is the study of triangles.Euclidean ge...
On Rational Trigonometry in Euclidean and Non-Euclidean Geometries. By recasting metrical geometry in a purely algebraic setting, both Euclidean and non-Euclidean geometries can be studied over a general field with an arbitrary quadratic form. Both an affine and a projective version of this new ...
Euclidean and Non-Euclidean Geometries 2025 pdf epub mobi 电子书 图书描述 This is the definitive presentation of the history, development and philosophical significance of non-Euclidean geometry as well as of the rigorous foundations for it and for elementary Euclidean geometry, essentially according to...
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