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Introduction to Non-Euclidean Geometry
Introduction to Non-Euclidean Geometry
📖 Book - PDF

Introduction to Non-Euclidean Geometry

Harold E. Wolfe
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272 pages
language
English
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📖 Book - PDF

Introduction to Non-Euclidean Geometry

Harold E. Wolfe
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About This Book

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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Information

Publisher
Dover Publications
Year
2013
ISBN
9780486320373
Topic
Mathematics
Subtopic
Geometry

Table of contents