Eccles F.M. An Introduction to Transformational Geometry

Издательство Addison-Wesley, 1971. — 184 p. — ISBN: 0201018519.This book is about one-to-one functions from the points of the plane onto the plane. Such transformations are applied to the study of geometry to bring a deeper understanding of congruence and similarity, and of the basic function concepts. Traditional geometry courses have placed geometry in a compartment quite separate from the rest of secondary mathematics.A transformational approach, however, can bring geometry into the mainstream of the student's mathematical development which flows from arithmetic, through algebra, and into calculus. For most students the year devoted to a compartmentalized consideration of geometry results in a stagnation or even deterioration of algebraic skills and understanding. In spite of this and other criticisms, Euclidean geometry still has much to offer secondary students today. For many, the traditional geometry course provides enjoyment and real satisfaction as well as an opportunity to exercise imagination and develop analytical ability and sound reasoning. Thus I would not join those who claim "Euclid must go."