Harold E. Wolfe

Introduction to Non-Euclidean Geometry (eBook, ePUB)

• Format: ePub

Produktbeschreibung

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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Produktdetails

• Verlag: Guilford Publications
• Seitenzahl: 272
• Erscheinungstermin: 29. August 2013
• Englisch
• ISBN-13: 9780486320373
• Artikelnr.: 39538027

Autorenporträt

Harold E. Wolfe was Professor of Mathematics at Indiana University.

Inhaltsangabe

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