Introductory Non-Euclidean Geometry

Manning, Henry Parker

ISBN 10: 0486442624 / ISBN 13: 9780486442624

Editore: Dover Publications, Incorporated, 2005

Used book that is in excellent condition. May show signs of wear or have minor defects. Codice articolo 11507181-6

Riassunto:

This fine and versatile introduction to non-Euclidean geometry is appropriate for both high-school and college classes. Its first two-thirds requires just a familiarity with plane and solid geometry and trigonometry, and calculus is employed only in the final part. It begins with the theorems common to Euclidean and non-Euclidean geometry, and then it addresses the specific differences that constitute elliptic and hyperbolic geometry. Major topics include hyperbolic geometry, single elliptic geometry, and analytic non-Euclidean geometry. 1901 edition.

Contenuti: Introduction I. Pangeometry I. Propositions Depending Only on the Principle of Superposition II. Propositions Which Are True for Restricted Figures III. The Three Hypotheses II. The Hyperbolic Geometry I. Parallel Lines II. Boundary-curves and Surfaces, and Equidistant-curves and Surfaces III. Trigonometrical Formulae III. The Elliptic Geometry IV. Analytic Non-Euclidean Geometry I. Hyperbolic Analytic Geometry II. Elliptic Analytic Geometry III. Elliptic Solid Analytic Geometry Historical Note

Dati bibliografici

Titolo: Introductory Non-Euclidean Geometry
Casa editrice: Dover Publications, Incorporated
Data di pubblicazione: 2005
Legatura: Brossura
Condizione: Very Good