A Course in Modern Geometries

By Judith N. Cederberg

Book Overview

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

• Format: Hardcover
• Language: English
• ISBN: 0387989722
• ISBN13: 9780387989723
• Release Date: January 2001
• Publisher: Springer
• Length: 441 Pages
• Weight: 12.45 lbs.
• Dimensions: 1.2" x 6.4" x 9.4"

Customer Reviews

Very readable and well written!

I studied Dr. Cederberg's text a while ago while I was at St. Olaf College. Being an ambitious youth, I was always trying to seek out the "best" book in a field to study. However, it's certainly difficult to learn from the masters if one doesn't have a solid background in the basic materials. I learned Calculus from G. Hardy's "Pure Math" but found it extremely difficult to comprehend (though it was a rewarding try). Then I turned to Spivak for a more modern treatment. In geometry, I went the opposite way: studying Cederberg's book first before moving to the more advanced one. I like her clear presentation and especially the part on matrix representations of groups of transformations. This book would be a valuable source for teachers of geometry.