Publisher: Elsevier Science
Publication year: 2016
E-ISBN: 9781483296463
P-ISBN(Paperback): 9780121027407
P-ISBN(Hardback): 9780121027407
Subject: O18 geometric topology
Keyword: 数学
Language: ENG
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Description
This volume presents an accessible, self-contained survey of topics in Euclidean and non-Euclidean geometry. It includes plentiful illustrations and exercises in support of the thoroughly worked-out proofs. The author's emphasis on the connections between Euclidean and non-Euclidean geometry unifies the range of topics covered.
The text opens with a brief review of elementary geometry before proceeding to advanced material. Topics covered include advanced Euclidean and non-Euclidean geometry, division ratios and triangles, transformation geometry, projective geometry, conic sections, and hyperbolic and absolute geometry. Topics in Geometry includes over 800 illustrations and extensive exercises of varying difficulty.