The Elements Of Non Euclidean Geometry (1909) - Softcover

Coolidge, Julian Lowell

9781164067252: The Elements Of Non Euclidean Geometry (1909)

Softcover

ISBN 10: 1164067257 ISBN 13: 9781164067252

Verlag: Kessinger Publishing, 2010

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The Elements of Non-Euclidean Geometry is a mathematical book written by Julian Lowell Coolidge in 1909. The book is a comprehensive introduction to the principles of non-Euclidean geometry, which is a type of geometry that differs from Euclidean geometry in that it does not assume the validity of Euclid's fifth postulate, also known as the parallel postulate. The book begins with an overview of Euclidean geometry and its limitations, before delving into the various types of non-Euclidean geometries, including hyperbolic and elliptic geometries. Coolidge explains the fundamental concepts of non-Euclidean geometry, such as curvature, geodesics, and parallelism, and provides numerous examples and exercises to help readers understand the material. Throughout the book, Coolidge emphasizes the importance of non-Euclidean geometry in modern mathematics and physics, particularly in the study of relativity and cosmology. He also discusses the historical development of non-Euclidean geometry, including the work of mathematicians such as Lobachevsky, Bolyai, and Riemann. Overall, The Elements of Non-Euclidean Geometry is a classic text in the field of mathematics, providing a clear and accessible introduction to the principles of non-Euclidean geometry and their applications.This scarce antiquarian book is a facsimile reprint of the old original and may contain some imperfections such as library marks and notations. Because we believe this work is culturally important, we have made it available as part of our commitment for protecting, preserving, and promoting the world's literature in affordable, high quality, modern editions, that are true to their original work.

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Rese�a del editor

This scarce antiquarian book is a selection from Kessinger Publishing's Legacy Reprint Series. Due to its age, it may contain imperfections such as marks, notations, marginalia and flawed pages. Because we believe this work is culturally important, we have made it available as part of our commitment to protecting, preserving, and promoting the world's literature. Kessinger Publishing is the place to find hundreds of thousands of rare and hard-to-find books with something of interest for everyone!

Rese�a del editor

The heroic age of non-euclidean 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 circle-squarers and searchers for perpetual motion sad by-products 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 non-euclidean 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. On the other hand, he will miss the stimulus that comes to one who feels that he is bringing out something entirely new and strange. The subject of non-euclidean geometry is, to the mathematician, quite as well established as any other branch of mathematical science; and, in fact, it may lay claim to a decidedly more solid basis than some branches, such as the theory of assemblages, or the analysis situs. Recent books dealing with non-euclidean geometry fall naturally into two classes. In the one we find the works of Killing, Liebmann, and Manning, whoD etailed references given later.
(Typographical errors above are due to OCR software and don't occur in the book.)

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Forgotten Books' Classic Reprint Series utilizes the latest technology to regenerate facsimiles of historically important writings. Careful attention has been made to accurately preserve the original format of each page whilst digitally enhancing the age

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