Geometry: A Comprehensive Course (Dover Books on Mathematics)

Dan Pedoe

ISBN 10: 0486658120 / ISBN 13: 9780486658124

Published by Dover Publications, 1988

About this Item

All pages and cover are intact. Dust jacket included if applicable, though it may be missing on hardcover editions. Spine and cover may show minor signs of wear including scuff marks, curls or bends to corners as well as cosmetic blemishes including stickers. Pages may contain limited notes or highlighting. "From the library of" labels may be present. Shrink wrap, dust covers, or boxed set packaging may be missing. Bundled media e.g., CDs, DVDs, access codes may not be included.

Seller Inventory # COLV.0486658120.G

Bibliographic Details

• Title: Geometry: A Comprehensive Course (Dover Books on Mathematics)
• Publisher: Dover Publications
• Publication Date: 1988
• Language: English
• ISBN 10: 0486658120
• ISBN 13: 9780486658124
• Binding: Soft cover
• Condition: good

About this title

Synopsis

"A lucid and masterly survey." — Mathematics GazetteProfessor 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.