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portada introduction to non-euclidean geometry
Type
Physical Book
Author
Publisher
Year
2012
Language
English
Pages
272
Format
Paperback
Dimensions
21.3 x 13.7 x 2.0 cm
Weight
0.27 kg.
ISBN
0486498506
ISBN13
9780486498508
Categories

introduction to non-euclidean geometry

Harold E. Wolfe (Author) · Dover Publications · Paperback

introduction to non-euclidean geometry - Wolfe, Harold E.

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Synopsis "introduction to non-euclidean geometry"

One of the first college-level texts for elementary courses in non-Euclidean geometry, this concise, readable volume is geared toward students familiar with calculus. A full treatment of the historical background explores the centuries-long efforts to prove Euclid's parallel postulate and their triumphant conclusion. Numerous original exercises form an integral part of the book.Topics include hyperbolic plane geometry and hyperbolic plane trigonometry, applications of calculus to the solutions of some problems in hyperbolic geometry, elliptic plane geometry and trigonometry, and the consistency of the non-Euclidean geometries. Extensive appendixes offer background information on the foundation of Euclidean geometry, circular and hyperbolic functions, the theory of orthogonal circles and allied topics, and the elements of inversion.

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