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Sinopsis
The Elements of Non-Euclidean Geometry is a book written by Julian Lowell Coolidge and published in 1909. The book is a comprehensive introduction to the field of non-Euclidean geometry, which is a branch of geometry that explores the properties of geometric figures and spaces that are not consistent with Euclid's axioms. The book begins with an overview of the history of non-Euclidean geometry, including the work of mathematicians such as Lobachevsky and Bolyai. The author then delves into the basic concepts of non-Euclidean geometry, including hyperbolic and elliptic geometry, and provides a detailed explanation of the differences between these two types of geometry. The book also covers a variety of topics related to non-Euclidean geometry, including the geometry of the sphere, the geometry of the hyperbolic plane, and the geometry of n-dimensional spaces. The author provides numerous examples and illustrations throughout the book to help readers understand the concepts being discussed.Overall, The Elements of Non-Euclidean Geometry is a valuable resource for anyone interested in the field of geometry, including students, teachers, and mathematicians. The book is written in a clear and concise style, making it accessible to readers with a range of mathematical backgrounds.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 facsimile reprint of the original. 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 for protecting, preserving, and promoting the world's literature in affordable, high quality, modern editions that are true to the original work.
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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The Elements Of Non Euclidean Geometry (1909)
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