Verwandte Artikel zu The Elements Of Non Euclidean Geometry (1909)
Inhaltsangabe
The Elements of Non-Euclidean Geometry is a book written by Julian Lowell Coolidge in 1909. The book provides a comprehensive introduction to non-Euclidean geometry, a branch of geometry that deviates from the traditional Euclidean geometry by rejecting the parallel postulate. The book begins with an overview of the history of non-Euclidean geometry, including the work of Gauss, Lobachevsky, and Bolyai. It then delves into the principles of hyperbolic geometry, including the hyperbolic plane, lines, angles, and triangles. The book also covers the principles of elliptic geometry, including the elliptic plane, lines, angles, and triangles. Throughout the book, Coolidge provides numerous examples and illustrations to help readers understand the concepts of non-Euclidean geometry. He also includes exercises at the end of each chapter to allow readers to test their understanding of the material. Overall, The Elements of Non-Euclidean Geometry is a valuable resource for anyone interested in the principles of non-Euclidean geometry and its applications in mathematics and physics.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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Reseña 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!
Reseña 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 is a publisher of historical writings, such as: Philosophy, Classics, Science, Religion, History, Folklore and Mythology.
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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