COURSE IN MODEN GEOMETRIES

Le Monde En Tique

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Ouvrage 9783540969228 : COURSE IN MODEN GEOMETRIES
A Course in Modern Geometries is
designed for a junior-senior level
course for mathematics majors,
including those who plan to teach in
secondary school. Chapter 1
presents several finite geometries in an
axiomatic framework. Chapter 2
introduces Euclid's geometry and the
basic ideas of non-Euclidean
geometry. The synthetic approach of
Chapters 1 - 2 is followed by the
analytic treatment of transformations
of the Euclidean plane in Chapter
3. Chapter 4 presents plane
projective geometry both
synthetically and analytically. The extensive
use of matrix representations of
groups of transformations in Chapters
3 - 4 reinforces ideas from
linear algebra and serves as excellent
preparation for a course in
abstract algebra. Each chapter includes a
list of suggested sources for
applications and/or related topics.


Auteur : CEDERBERG
Editeur : SPRINGER VERLAG
Nombre de pages : 232
Date de publication : 01 1991

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