A course in modern geometries
著者
書誌事項
A course in modern geometries
（Undergraduate texts in mathematics）
Springer-Verlag, c1989
- : us
- : gw
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注記
Bibliography: p. 216-221
Includes index
内容説明・目次
- 巻冊次
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: us ISBN 9780387969220
内容説明
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.
- 巻冊次
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: gw ISBN 9783540969228
内容説明
The major emphasis of this textbook is on the geometries developed after Euclid's "Elements", circa 300 BC. The study explores aspects of the history of mathematics as well as demonstrating the interaction of several areas of mathematics and providing geometrical insights into problems.
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