THE FOUNDATIONS OF GEOMETRY is a textbook for an undergraduate course in
axiomatic geometry. The course is suitable for all mathematics majors, including those who plan to
become high school mathematics teachers. The textbook implements the recent recommendations
regarding "The Mathematical Education of Teachers" within the context of a traditional
axiomatic treatment of geometry. In addition to all the standard topics (Euclid's Elements,
axiomatic systems, the parallel postulates, neutral geometry, Euclidean geometry, hyperbolic geometry,
constructions, transformations, and the classical models for non-Euclidean geometry), the book also
includes a chapter on polygonal models for the hyperbolic plane and the geometry of space.
Basic information about the book
||Title: THE FOUNDATIONS OF GEOMETRY
Author: Gerard A. Venema
Publisher: Prentice Hall
Publication date: January, 2005
Format: Paper; 448 pp
List price: $84.00
More information about the book is available in the
Prentice Hall catalog. If you wish to obtain a copy, you can either order one
directly from the
publisher or from a bookseller such as
Amazon.com. The cover art is by Victor Vasarely,
Hungarian-born French abstract painter, 1908-1997.
Geometer's Sketchpad supplement now includes Poincaré disk
A supplement entitled EXPLORING ADVANCED EUCLIDEAN GEOMETRY with
Geometer's Sketchpad is now available. This book can be used either as
a lab manual to supplement a course taught from THE FOUNDATIONS OF
or as a stand-alone introduction to advanced topics in Euclidean geometry.
The book utilizes dynamic geometry software, specifically Geometer's Sketchpad®,
to explore the statements and proofs of many of the most interesting theorems in advanced Euclidean
geometry. The text begins with a complete introduction to Geometer's Sketchpad; the
remainder of the text consists almost entirely of exercises that guide students as they discover the
mathematics and then come to understand it for themselves. It covers such topics as triangle centers, circumscribed and inscribed circles,
medial and orthic triangles, the nine-point circle, the theorems of Ceva and Menelaus, and
many applications of the theorems of Menelaus and Ceva. The latest edition (July, 2006) includes
chapters on Euclidean inversions and the Poincaré disk.
Click on the link below to be directed to a page where you can download all or part of the manuscript.
New edition of the Instructors' Manual now available
A revised version of the INSTRUCTORS' MANUAL
is available as of June 2006. Instructors should
contact their local Prentice Hall representative to obtain a copy.
Additional items available at this time
A third printing of the book is available as of May, 2007. The first two printings
contained a number of minor typographical errors that have been corrected.
If you should discover an error in the third printing or an uncorrected error in an earlier printing
of the book, please notify Gerard Venema
(email@example.com). Any error that is brought to my
attention will be corrected in the next printing.
[This page was last updated on June 15, 2007.]