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Synopsis
Excerpt from The Elements of Non-Euclidean Geometry
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.
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The Elements of Non-Euclidean Geometry (Classic Reprint)
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Paperback. Condition: New. Print on Demand. This book takes a deep dive into the fascinating world of non-Euclidean geometry. The author explores the foundations of this area of mathematics, which challenges the traditional axioms of Euclid, and traces its evolution from a once controversial subject to a well-established field of study. The book delves into the key concepts, including the three main hypotheses of non-Euclidean geometry, the trigonometric and analytic formulae that define these systems, and the various geometric objects within them, such as circles, spheres, and conic sections. It also examines the consistency and significance of the axioms that underpin this field, and explores the relationship between non-Euclidean geometry and other branches of mathematics, such as projective geometry and differential geometry. The author presents the different approaches to understanding and applying non-Euclidean geometry, making this book a comprehensive resource for anyone interested in exploring the intriguing complexities and applications of this powerful field. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Seller Inventory # 9781330306765_0
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The Elements of NonEuclidean Geometry Classic Reprint
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781330306765
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The Elements of NonEuclidean Geometry Classic Reprint
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781330306765
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The Elements of Non-Euclidean Geometry (Classic Reprint)
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ISBN 13: 9781330306765
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ELEMENTS OF NON-EUCLIDEAN GEOM
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Condition: New. KlappentextrnrnExcerpt from The Elements of Non-Euclidean GeometryIn 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. Seller Inventory # 2147748729
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