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 Title: The Elements of NonEuclidean Geometry
 Author(s) Julian Lowell Coolidge
 Publisher: Palala Press (November 17, 2015); eBook (Project Gutenberg Edition)
 License(s): The Project Gutenberg License
 Paperback: 292 pages
 eBook: PDF (282 pages, 1.2MB) and TeX
 Language: English
 ISBN10: 1346669430
 ISBN13: 9781346669434
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Book Description
The heroic age of noneuclidean geometry is passed. It is long since the days when Lobatchewsky timidly referred to his system as an 'imaginary geometry', and the new subject appeared as a dangerous lapse from the orthodox doctrine of Euclid.
The attempt to prove the parallel axiom by means of the other usual assumptions is now seldom undertaken, and those who do undertake it, are considered in the class with circlesquarers and searchers for perpetual motionâ€“ sad byproducts of the creative activity of modern science.
In this, as in all other changes, there is subject both for rejoicing and regret. It is a satisfaction to a writer on noneuclidean geometry that he may proceed at once to his subject, without feeling any need to justify himself, or, at least, any more need than any other who adds to our supply of books.
Topics include elementary hyperbolic geometry; elliptic geometry; analytic nonEuclidean geometry; representations of nonEuclidean geometry in Euclidean space; and space curvature and the philosophical implications of nonEuclidean geometry.
About the Authors Julian Lowell Coolidge was an American mathematician, historian and a professor and chairman of the Harvard University Mathematics Department.
 Geometry and Topology
 Mathematical Logic  Computability, Set Theory, Model Theory, Proof Theory, etc.
 Applied Mathematics
 The Elements of NonEuclidean Geometry (Julian L. Coolidge)
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