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The Elements of Non-Euclidean Geometry (Dover Books on Mathematics) - Softcover

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9780486442228: The Elements of Non-Euclidean Geometry (Dover Books on Mathematics)

Synopsis

This volume became the standard text in the field almost immediately upon its original publication. Renowned for its lucid yet meticulous exposition, it can be appreciated by anyone familiar with high school algebra and geometry. Its arrangement follows the traditional pattern of plane and solid geometry, in which theorems are deduced from axioms and postulates. In this manner, students can follow the development of non-Euclidean geometry in strictly logical order, from a fundamental analysis of the concept of parallelism to such advanced topics as inversion and transformations.
Topics include elementary hyperbolic geometry; elliptic geometry; analytic non-Euclidean geometry; representations of non-Euclidean geometry in Euclidean space; and space curvature and the philosophical implications of non-Euclidean geometry. Additional subjects encompass the theory of the radical axes, homothetic centers, and systems of circles; inversion, equations of transformation, and groups of motions; and the classification of conics.
Although geared toward undergraduate students, this text treats such important and difficult topics as the relation between parataxy and parallelism, the absolute measure, the pseudosphere, Gauss’ proof of the defect-area theorem, geodesic representation, and other advanced subjects. In addition, its 136 problems offer practice in using the forms and methods developed in the text.

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  • PublisherDover Publications
  • Publication date2005
  • ISBN 10 0486442225
  • ISBN 13 9780486442228
  • BindingPaperback
  • LanguageEnglish
  • Number of pages288
  • Rating
    • 3.75 out of 5 stars
      8 ratings by Goodreads

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Sommerville, D. M. Y.
Published by Dover Publications, 2005
ISBN 10: 0486442225 ISBN 13: 9780486442228
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Sommerville, D. M.Y.; Mathematics
Published by Dover Publications, 2005
ISBN 10: 0486442225 ISBN 13: 9780486442228
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Softcover. Condition: Gut bis sehr gut. 274 Seiten, guter Zustand. Seller Inventory # s-12-rtdeeed

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