Introduction to Non-Euclidean Geometry

Harold E. Wolfe (Autor)

Buch | Softcover

272 Seiten

2012
Dover Publications Inc. (Verlag)
9780486498508 (ISBN)

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College-level text for elementary courses covers the fifth postulate, hyperbolic plane geometry and trigonometry, and elliptic plane geometry and trigonometry. Appendixes offer background on Euclidean geometry. Numerous exercises. 1945 edition.

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

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

Sprache	englisch
Maße	137 x 216 mm
Gewicht	277 g
Themenwelt	Geisteswissenschaften ► Geschichte
Themenwelt	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
ISBN-13	9780486498508 / 9780486498508
Zustand	Neuware