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 continues the synthetic approach as it introduces Euclid's geometry and ideas of non-Euclidean geometry. In Chapter 3, a new introduction to symmetry and hands-on explorations of isometries precedes the extensive analytic treatment of isometries, similarities and affinities. A new concluding section explores isometries of space. Chapter 4 presents plane projective geometry
Author: Judith N. Cederberg |
Publisher: Springer |
Publication Date: Dec 01, 2010 |
Number of Pages: 441 pages |
Binding: Paperback or Softback |
ISBN-10: 1441931937 |
ISBN-13: 9781441931931 |