Geometry: A Comprehensive Course (Dover Books on Mathematics) Kindle Edition

An interesting selection of topics in geometry. I loved the use of complex numbers in developing the theory of isometries and similarities in the Euclidean plane. The representation of circles as points in 3-space yields interesting insights into coaxal systems. The development of projective geometry, in n dimensions and then specializing to the projective plane and projective 3-space, with conics in the former and quadric surfaces in the latter, is an interesting blend of the synthetic and the analytic (or "algebraic" as Pedoe calls it). I especially appreciated the discussion of 3-space and quadrics, since so many treatments limit themselves to conics in the plane.This book is not for the novice. In particular, if this is the reader's first exposure to projective geometry, I think he or she could wind up quite bewildered by it all. A better place to start is Coxeter's "Projective Geometry", which is mainly synthetic, and gets the principal results without bouncing between different dimensions, algebraic vs. synthetic, etc.The exercises are excellent! What a wonderful choice of interesting and enlightening results. No dreary "working out the details of the theory" here!

I passed through Geometry in high school without learning much if anything. My thought process at the time was "I'm not headed to college so why do I need this?" Well, I did go to college years later and lack of this knowledge did impact the me. I was limited in the courses I could take because of a lack of math skills. Now I'm over 40 years older and trying to cover gaps in my skill sets of which math is definitely short coming. To move forward to calculous I definitely need to improve in the areas of algebra and geometry. This book is exceptional in covering the geometry shortfall and I highly recommend it to anyone in need of a geometry start or refresher.

The book is a little dated but the theory it outlines is timeless. Great introductions that assumes no background in graph theory. I feel like this was probably the biggest bang-for-the-buck in improving my mental comprehension of mathematics and computer science I've ever purchased.

This is a comprehensive book in Geometry, not a fundamentals book. There are two distinguishable differences between a fundamentals-type book vs. a comprehensive-type book, in that a comprehensive book gives a survey of, or a smorgasbord, of topics that are inter-relatable. Fundamentals typically go more in depth than a comprehensive book.If you are looking for a book that assumes you understand some higher topics in mathematics (i.e. college sophomore-level maths), then by all means, you are the assumed audience. This is not meant as a replacement to Euclid's "The Elements" or the book would have entirely been a lot thicker in size and probably more in cost. This is not a "Master Math: Geometry" type book.I bought this book because of the section on projective geometry, but I also wanted a book to reference other topics as well. I'm using this book as a supplement rather than an actual course.

was reported as used, came brand-new.So far, I love this book.

Helpful

Very good book for geometrist mathematicians! You will find the solution to the Napoleon's test problem: How to construct the center of a circle using only a compass!! Try it first, after you reviewed the chapter on inversion!!

This is not in my opinion a book that would be valuable in becoming acquainted with Geometry.

Excellent

Excellent book.

Everything was fine, thank you!

Great book that covers a faschinating topic very well. Great for those who got the basic skills of high school mathematics and geometry.

Correspondeu totalmente à minha expectativa.