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Pure and Applied Undergraduate Texts: Two-Dimensional Geometries : A Problem-Solving Approach by C. Herbert Clemens (2019, Hardcover)

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Product Identifiers

PublisherAmerican Mathematical Society
ISBN-101470447606
ISBN-139781470447601
eBay Product ID (ePID)19038368498

Product Key Features

Number of Pages142 Pages
LanguageEnglish
Publication NameTwo-Dimensional Geometries : a Problem-Solving Approach
Publication Year2019
SubjectGeometry / General
TypeTextbook
AuthorC. Herbert Clemens
Subject AreaMathematics
SeriesPure and Applied Undergraduate Texts
FormatHardcover

Dimensions

Item Height0.8 in
Item Weight15.9 Oz
Item Length10 in
Item Width7 in

Additional Product Features

Intended AudienceScholarly & Professional
LCCN2018-045838
Dewey Edition23
Series Volume Number34
Volume NumberVol. 34
IllustratedYes
Dewey Decimal516.154
Table Of ContentIntroduction Neutral geometry: Euclid's postulates for plane geometry Euclidean (plane) geometry: Rectangles and cartesian coordinates Concurrence and circles in Euclidean geometry Spherical geometry: Surface area and volume of the $R$-sphere in Euclidean 3-space Usual dot-product for three-dimensional Euclidean space: Euclidean three-space as a metric space Transformations $K$-geometry: Changing coordinates Uniform coordinates for the two-dimensional geometries Return to spherical geometry: Spherical geometry from an advanced viewpoint Hyperbolic geometry: The curvature $K$ becomes negative Definitions Bibliography Index
SynopsisUses a problem-solving approach to actively engage students in the learning process. The book bridges the study of plane geometry and the study of curves and surfaces of non-constant curvature in three-dimensional Euclidean space., This book on two-dimensional geometry uses a problem-solving approach to actively engage students in the learning process. The aim is to guide readers through the story of the subject, while giving them room to discover and partially construct the story themselves. The book bridges the study of plane geometry and the study of curves and surfaces of non-constant curvature in three-dimensional Euclidean space.
LC Classification NumberQA501.C6575 2019