This is a book on Euclidean geometry that covers the standard material in a completely new way, while also introducing a number of new topics that would besuitable as a junior-senior level undergraduate textbook. The author does notbegin in the traditional manner with abstract geometric axioms. Instead, he assumes the real numbers, and begins his treatment by introducing such modern concepts as a metric space, vector space notation, and groups, and thus lays a rigorous basis for geometry while at the same time giving the student tools that will be useful in other courses. Many unique topics are covered, such as fractals and cycloids Author uses a non-traditional approach (he defines a rightangle by using the Pythagorean theorem) INDICE: Preface.- Plane Geometry.- Transformations.- Symmetry.- Curves.- Solid Geometry.- Appendix.- References.- Index.
- ISBN: 978-0-387-78240-9
- Editorial: Springer
- Encuadernacion: Rústica
- Páginas: 410
- Fecha Publicación: 01/07/2008
- Nº Volúmenes: 1
- Idioma: Inglés