A Course in Modern Geometries (Undergraduate Texts in Mathematics) - Hardcover

Cederberg, Judith N.

Hardcover

ISBN 10: 0387969225 ISBN 13: 9780387969220

Publisher: Springer, 1995

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.

About this title

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

About this edition

• Publisher: Springer
• Publication date: 1995
• ISBN 10: 0387969225
• ISBN 13: 9780387969220
• Binding: Hardcover
• Number of pages: 232