Synopsis
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.
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Review
Second Edition
J. N. Cederberg
A Course in Modern Geometries
"Cederberg’s book has the virtue of exceptionally clear exposition and at the same time, it is brief enough not to exhaust one’s patience . . . I have seen hundreds of college-level texts on geometry and this is one of the handful I like the most."
―THE UMAP JOURNAL
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A Course in Modern Geometries
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A course in modern geometries.
Published by
New York [etc.], Springer., 1995
ISBN 10: 0387969225
ISBN 13: 9780387969220
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A Course In Modern Geometries (Corrected Third Printing, 1995)
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A Course in Modern Geometries (Undergraduate Texts in Mathematics)
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