Geometry: A Comprehensive Course (Dover Books on Mathematics)
| Author | : | |
| Rating | : | 4.62 (629 Votes) |
| Asin | : | 0486658120 |
| Format Type | : | paperback |
| Number of Pages | : | 464 Pages |
| Publish Date | : | 2016-04-21 |
| Language | : | English |
DESCRIPTION:
Not a Good First Book Patrick J. OHara I would not recommend this as a first book. I started in Chapter One and the author's proofs seem sometimes too terse and sometimes confusing to me. Another drawback to this book is that it has no answers to the exercises.There are some good written introductory books. It depends on your goals. Books like Foundations of Geometry (Dover Books on Mathematics) (has no sol. "Misleading Title" according to Cory Dean. An interesting book covering multiple topics not usually contained in the same book, this goes quite well logically from Euclidean Geometry to natural generalizations in affine and projective geometry. To finish it off, we have one of the more classical non-euclidean geometries through a discussion (nowhere near complete, though) of hyperbolic geometry. It is an easily. Advanced text only I bought this as a reference for the geometry I already knew but had largely forgotten. I found it useless because its coverage of Euclidian geometry was scant and the approach is quite unusual and did not relate to the geometry courses I had done. Possibly suited to someone who wants to go on to advanced geometry.
Based on a course given by the author for several years at the University of Minnesota, the main purpose of the book is to increase geometrical, and therefore mathematical, understanding and to help students enjoy geometry.Among the topics discussed: the use of vectors and their products in work on Desargues' and Pappus' theorem and the nine-point circle; circles and coaxal systems; the representation of circles by points in three dimensions; mappings of the Euclidean plane, similitudes, isometries, mappings of the inversive plane, and Moebius transformation