Geometry by J.H. Heinbockel

Elementary geometry is the stepping stone to more advance mathematical subjects. It is needed to understand many components of physics, chemistry and engineering. Even the biological sciences require an understanding of geometry, especially biochemistry. In fact, more and more scientific disciplines have come to rely on mathematics of some kind which usually involves some component of geometry.

This book is written so that students and instructors studying geometry can have a reference book presenting a more detailed investigation of selected advanced topics from both plane and solid geometry. The material presented begins with elementary concepts and ideas and progresses rapidly to more advanced concepts. It introduces trigonometry and vectors and shows how these topics can aid in the study of geometry. It offers the presentation of geometry fundamentals from a variety of viewpoints. Many examples are given to help clarify new ideas.

In depth investigations into Projective Geometry, Differential Geometry, Non-Euclidean Geometry, Stochastic Geometry, Combinatorial Geometry, Riemannian Geometry have been omitted from this text. Students wishing to pursue an understanding of these more advanced topics are encouraged to do so. Geometry does not end after taking just one course.