Click Here to Download: https://ouo.io/9S5FZAc NonEuclidean Geometry By: Herbert Meschkowski Publisher: Academic Press Print ISBN: 9781483256641, 1483256642 eText ISBN: 9781483259215, 1483259218 Copyright year: 1964 Format: PDF Available from $ 31.95 USD SKU 9781483259215 Noneuclidean Geometry focuses on the principles, methodologies, approaches, and importance of noneuclidean geometry in the study of mathematics. The book first offers information on proofs and definitions and Hilbert's system of axioms, including axioms of connection, order, congruence, and continuity and the axiom of parallels. The publication also ponders on lemmas, as well as pencil of circles, inversion, and cross ratio. The text examines the elementary theorems of hyperbolic geometry, particularly noting the value of hyperbolic geometry in noneuclidian geometry, use of the Poincaré model, and numerical principles in proving hyperparallels. The publication also tackles the issue of construction in the Poincaré model, verifying the relations of sides and angles of a plane through trigonometry, and the principles involved in elliptic geometry. The publication is a valuable source of data for mathematicians interested in the principles and applications of noneuclidean geometry.
