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Dover Books on Mathematics Ser.: Elements of Non-Euclidean Geometry by D. M. Y. Sommerville (2005, Perfect)
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About this product
Product Identifiers
PublisherDover Publications, Incorporated
ISBN-100486442225
ISBN-139780486442228
eBay Product ID (ePID)44668246
Product Key Features
Number of Pages288 Pages
LanguageEnglish
Publication NameElements of Non-Euclidean Geometry
SubjectGeometry / Non-Euclidean
Publication Year2005
TypeTextbook
AuthorD. M. Y. Sommerville
Subject AreaMathematics
SeriesDover Books on Mathematics Ser.
FormatPerfect
Dimensions
Item Height0.6 in
Item Weight11.5 Oz
Item Length8.5 in
Item Width5.4 in
Additional Product Features
Intended AudienceCollege Audience
LCCN2004-065743
TitleLeadingThe
Dewey Edition22
IllustratedYes
Dewey Decimal516.9
SynopsisRenowned for its lucid yet meticulous exposition, this text follows the development of non-Euclidean geometry from a fundamental analysis of the concept of parallelism to such advanced topics as inversion and transformations. It features the relation between parataxy and parallelism, the absolute measure, the pseudosphere, and Gauss' proof of the defect-area theorem. 1914 edition. Includes 133 figures., 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.
LC Classification NumberQA685.S65 2005
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