Introduction to Non-Euclidean Geometry - Brossura

Wolfe, Harold E.

Brossura

ISBN 10: 0486498506 ISBN 13: 9780486498508

Casa editrice: Dover Pubns, 2012

Riassunto

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.

Su questo libro

Recensione

One of the first college-level texts for elementary courses in non-Euclidean geometry, this volume
is geared toward students familiar with calculus. Topics include the fifth postulate, hyperbolic
plane geometry and trigonometry, and elliptic plane geometry and trigonometry. Extensive
appendixes offer background information on Euclidean geometry, and numerous exercises
appear throughout the text.
Reprint of the Holt, Rinehart & Winston, Inc., New York, 1945 edition

Contenuti

I. The Foundation of Euclidean Geometry II. The Fifth Postulate III. The Discovery of Non-Euclidean Geometry IV. Hyperbolic Plane Geometry V. Hyperbolic Plane Trigonometry VI. Applications of Calculus to the Solutions of Some Problems in Hyperbolic Geometry VII. Elliptic Plane Geometry and Trigonometry VIII. The Consistency of the Non-Euclidean Geometries Appendix I. The Foundation of Euclidean Geometry II. Circular and Hyperbolic Functions III. The Theory of Orthogonal Circles and Allied Topics IV. The Elements of Inversion Index

Dettagli dell'edizione

• Editore: Dover Pubns
• Data di pubblicazione: 2012
• Lingua: Inglese
• ISBN 10: 0486498506
• ISBN 13: 9780486498508
• Rilegatura: Copertina flessibile
• Numero di pagine: 247
• Contatto del produttore: non disponibile
• Persona responsabile: Soc. Agr. La Raia Ss; http://www.la-raia.it; ; Strada Monterotondo, 79; Novi Ligure; 15067; Italia