Introductory Geometries by Dr Larry Wiley

A fresh approach to geometry for the gifted. Offers a complete treatment of Euclidean geometry using an axiomatic approach based on transformations of the plane. Students begin with symmetry to develop an understanding of the basic transformations needed for the axiomatic treatment of geometry. Initial chapters provide a comprehensive, elementary introduction to those concepts of mathematical structure and structure preserving transformations which are crucial in any modern approach to mathematics. Offers an ample overview of the content and importance of the plane geometries of Riemann and Lobachevsky. Includes a brief treatment of the basic ideas of area and volume. Final chapters provide an introduction to all the essential ideas of plane trigonometry. This year-long introduction is full of activities designed to help students enhance their higher-order thinking skills.

There is a Solutions to Problems book and S.tudent Book

“This book is a true departure from the traditional geometry text. Teachers who should consider this text are those who think an honors geometry course should be more than the standard course made more rigorous. Only by examining this book can you appreciate its uniqueness.”