NonEuclidean Geometry e-bog
223,05 DKK
(inkl. moms 278,81 DKK)
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 cir...
E-bog
223,05 DKK
Forlag
Academic Press
Udgivet
12 maj 2014
Længde
112 sider
Genrer
PBC
Sprog
English
Format
pdf
Beskyttelse
LCP
ISBN
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 Poincare model, and numerical principles in proving hyperparallels. The publication also tackles the issue of construction in the Poincare 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.