عنوان
پدید آورنده
موضوع
رده
کتابخانه
محل استقرار
9781475738315
9781475738339
b403812
A Course in Modern Geometries
[Book]
by Judith N. Cederberg.
New York, NY :
Imprint: Springer,
1989.
Undergraduate Texts in Mathematics,
0172-6056
1 Axiomatic Systems and Finite Geometries -- 2 Non-Euclidean Geometry -- 3 Geometric Transformations of the Euclidean Plane -- 4 Projective Geometry -- Appendixes -- A. Euclid's Definitions, Postulates, and the First 30 Propositions of Book I -- B. Hilbert's Axioms for Plane Geometry -- C. Birkhoff's Postulates for Euclidean Plane Geometry -- D. The S.M.S.G. Postulates for Euclidean Geometry -- E. Some S.M.S.G. Definitions for Euclidean Geometry -- F. The A.S.A. Theorem -- G. References.
0
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.
9781475738339
Springer eBooks
Geometry.
Mathematics.
Cederberg, Judith N.
SpringerLink (Online service)
20190301080200.0
مطالعه متن کتاب [Book]
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