Introduction to Non-Euclidean Geometry

Wolfe Wolfe

$28.95 $27.95

Paperback

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English

Dover
17 October 2012

Mathematics & Sciences; Mathematics

Series: Dover Books on Mathema 1.4tics

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.

By: Wolfe Wolfe
Imprint: Dover
Country of Publication: United States
Dimensions: Height: 215mm, Width: 135mm, Spine: 13mm
Weight: 277g
ISBN: 9780486498508
ISBN 10: 0486498506
Series: Dover Books on Mathema 1.4tics
Pages: 254
Publication Date: 17 October 2012
Audience: College/higher education , Professional and scholarly , Primary , Undergraduate
Format: Paperback
Publisher's Status: Unspecified

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

AUSTRALIA-WIDE LOW FLAT RATE $9.90

Introduction to Non-Euclidean Geometry

Wolfe Wolfe

$28.95 $27.95

Paperback

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