Geometry: A Comprehensive Course

Geometry: A Comprehensive Course

5.0 3
by Daniel Pedoe, Dan Pedoe, Mathematics
     
 

View All Available Formats & Editions


"A lucid and masterly survey." — Mathematics Gazette
Professor Pedoe is widely known as a fine teacher and a fine geometer. His abilities in both areas are clearly evident in this self-contained, well-written, and lucid introduction to the scope and methods of elementary geometry. It covers the geometry usually included in undergraduate courses in

Overview


"A lucid and masterly survey." — Mathematics Gazette
Professor Pedoe is widely known as a fine teacher and a fine geometer. His abilities in both areas are clearly evident in this self-contained, well-written, and lucid introduction to the scope and methods of elementary geometry. It covers the geometry usually included in undergraduate courses in mathematics, except for the theory of convex sets. Based on a course given by the author for several years at the University of Minnesota, the main purpose of the book is to increase geometrical, and therefore mathematical, understanding and to help students enjoy geometry.
Among the topics discussed: the use of vectors and their products in work on Desargues' and Pappus' theorem and the nine-point circle; circles and coaxal systems; the representation of circles by points in three dimensions; mappings of the Euclidean plane, similitudes, isometries, mappings of the inversive plane, and Moebius transformations; projective geometry of the plane, space, and n dimensions; the projective generation of conics and quadrics; Moebius tetrahedra; the tetrahedral complex; the twisted cubic curve; the cubic surface; oriented circles; and introduction to algebraic geometry.
In addition, three appendices deal with Euclidean definitions, postulates, and propositions; the Grassmann-Pluecker coordinates of lines in S3, and the group of circular transformations. Among the outstanding features of this book are its many worked examples and over 500 exercises to test geometrical understanding.

Product Details

ISBN-13:
9780486658124
Publisher:
Dover Publications
Publication date:
12/01/1988
Series:
Dover Books on Mathematics Series
Pages:
464
Sales rank:
160,503
Product dimensions:
6.54(w) x 9.21(h) x 0.86(d)

Customer Reviews

Average Review:

Write a Review

and post it to your social network

     

Most Helpful Customer Reviews

See all customer reviews >

Geometry: A Comprehensive Course 5 out of 5 based on 0 ratings. 2 reviews.
Anonymous More than 1 year ago
Cries.
Anonymous More than 1 year ago
Diamondstar.