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Description
Geometry: A Comprehensive Course"A lucid and masterly survey." Mathematics GazetteProfessor Pedoe is widely known as a fine teacher and a fine geometer. His abilities in both areas are clearly evident in this self contained, well written, and lucid introduction to the scope and methods of elementary geometry. It covers the geometry usually included in undergraduate courses in mathematics, except for the theory of convex sets. Based on a course given by the author for several years
"A lucid and masterly survey." -- Mathematics GazetteProfessor Pedoe is widely known as a fine teacher and a fine geometer. His abilities in both areas are clearly evident in this self-contained, well-written, and lucid introduction to the scope and methods of elementary geometry. It covers the geometry usually included in undergraduate courses in mathematics, except for the theory of convex sets. 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 transformations; projective geometry of the plane, space, and n dimensions; the projective generation of conics and quadrics; Moebius tetrahedra; the tetrahedral complex; the twisted cubic curve; the cubic surface; oriented circles; and introduction to algebraic geometry.In addition, three appendices deal with Euclidean definitions, postulates, and propositions; the Grassmann-Pluecker coordinates of lines in S3, and the group of circular transformations. Among the outstanding features of this book are its many worked examples and over 500 exercises to test geometrical understanding.Binding Type: Paperback
Publisher: Dover Publications
Published: 12/01/1988
ISBN: 9780486658124
Pages: 464
Weight: 1.36lbs
Size: 9.21h x 6.54w x 0.86d
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Product Reviews
★★★★★ 5
Juguete para mi perro
Size: 3 packs
Mi perrito se divierte mucho y especial para sus dientes
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Reviewed in the United States on October 24, 2025
★★★★★ 2
Smells it play full
Size: 3 packs
Smells like plaster my dog plays with it and barks she don’t like it in her mouth taste terrible
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Reviewed in the United States on May 27, 2026
★★★★★ 5
SO durable & my Blue Heeler LOVES it!
Color: Purple, Color: Purple
My Blue Heeler tears up almost all of her toys if they’re not rubber. This ball is SO durable and she loves it so much!! We’ve had it for 5 months now. She chews on it every day for long periods of time and it’s showing pretty much no wear and tear. I keep wondering if I’ll ever have to pull out the second one from the box lol. It can be hard to squeak with one hand, but it’s easy enough with 2 hands or if you step on it with your foot. It’s hilarious that every time I squeak it she licks her lips. My girl never actually squeaks it while she’s chewing on it, which is actually a plus cuz it doesn’t get annoying when she’s chewing on it for long periods of time. I also love that the ball helps clean her teeth because of the spikes and the size is larger so it’s easy to take it from her while playing fetch. Overall a fun, durable dog toy!
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Reviewed in the United States on May 16, 2026
★★★★★ 5
Totally indestructible!
Color: Purple, Color: Purple
Finally! A toy my aggressive chewer cannot destroy!! Can’t even get the squeaker out! No other toy has ever held up and it’s got some nice bounce to it. Perfect size so it can’t get stuck under the sofa. Furthermore, it aids in cleaning his teeth and he loves them. This is a great money saver too!
Update - 3 months later - still pup’s fav…still whole - still lotsa bounce - still has squeaker intact. As good as new! I’d buy these again but don’t need to 😃!
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Reviewed in the United States on February 21, 2026
★★★★★ 5
Toughest ball of this type.
Color: Blue
My dogs are brutal with these toys. I really like them as the spikes act as a tooth brush, and the dogs love knawing on them. There are other spiked balls like this on amazon, but this one is of better quality. It lasts a lot longer. The squeaker does not last long, the dogs teeth push it into the ball, you can hear it rattling around in there.
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Reviewed in the United States on December 1, 2025