Synopsis
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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About the Author
Harold E. Wolfe was Professor of Mathematics at Indiana University.
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Introduction to Non-Euclidean Geometry
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Dover Publications, Incorporated, 2012
ISBN 10: 0486498506
ISBN 13: 9780486498508
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Introduction to Non-Euclidean Geometry
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Dover Publications Inc., US, 2012
ISBN 10: 0486498506
ISBN 13: 9780486498508
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Paperback. Condition: New. One of the first college-level texts for elementary courses in non-Euclidean geometry, this volumeis geared toward students familiar with calculus. Topics include the fifth postulate, hyperbolicplane geometry and trigonometry, and elliptic plane geometry and trigonometry. Extensiveappendixes offer background information on Euclidean geometry, and numerous exercisesappear throughout the text.Reprint of the Holt, Rinehart and Winston, Inc., New York, 1945 edition. Seller Inventory # LU-9780486498508