Buy Geometry: A Comprehensive Course on ✓ FREE SHIPPING on qualified orders. Lucid, well-written introduction to elementary geometry usually included in undergraduate and first-year graduate courses in mathematics. Topics include vector. Documents Similar To Daniel Pedoe Geometry, A Comprehensive Course Challenging Problems in Algebra – Posamentier,Salkind-Dover. Uploaded by.
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There was a problem filtering reviews right now. Please try again later. An interesting selection of topics in comprehensiv. 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. The exercises are excellent!
What a wonderful choice of interesting and enlightening results. No dreary “working out the details of the theory” here! Kindle Edition Verified Purchase.
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?
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.
Buy for others
There are two distinguishable differences between a fundamentals-type book vs. 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. This is not meant as a replacement comprehdnsive Euclid’s “The Elements” or the book would have entirely been a lot thicker in size and probably more in cost.
Geometry: A Comprehensive Course : Dan Pedoe :
This is not a “Master Math: 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. It starts off in the geometry of the complex plane, and goes deeper. This is a 3rd year book requiring linear algebra. For 5 bucks, this is definitely a must-have. 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. This is a good geometry book far anyone looking to expand on their typical introduction geometry class in college or a college graduate in Mathematics.
It does not read like a textbook, it appears the author already assumes you are a Math major or have already taken other geometry courses. The only downside is that it reads like an encyclopedia and does less “teaching” that a regular textbook would do.
Geometry: A Comprehensive Course
Makes a great reference though! Old text are yet a good reading for fun and rediscovery of some tricks comprehesive mathematics. See all 48 reviews. There’s a problem loading this menu right now. Learn more about Amazon Prime. Get fast, free shipping with Amazon Prime. Get to Know Us. English Choose a language for shopping. Explore the Home Gift Guide.
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