NonEuclidean Geometry (PDF)
(Sprache: Englisch)
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...
The book first offers information on proofs and definitions and Hilbert's system of axioms, including axioms...
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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.
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.
Bibliographische Angaben
- Autor: Herbert Meschkowski
- 2014, 112 Seiten, Englisch
- Herausgegeben: D. Allan Bromley, Nicholas Declaris, W. Magnus
- Verlag: Elsevier Science & Techn.
- ISBN-10: 1483259218
- ISBN-13: 9781483259215
- Erscheinungsdatum: 12.05.2014
Abhängig von Bildschirmgrösse und eingestellter Schriftgrösse kann die Seitenzahl auf Ihrem Lesegerät variieren.
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- Grösse: 4.56 MB
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