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Description
Elementary Point-Set Topology: A Transition to Advanced MathematicsIn addition to serving as an introduction to the basics of point set topology, this text bridges the gap between the elementary calculus sequence and higher level mathematics courses. The versatile, original approach focuses on learning to read and write proofs rather than covering advanced topics. Based on lecture notes that were developed over many years at The University of Seattle, the treatment is geared toward undergraduate math majors and
In addition to serving as an introduction to the basics of point-set topology, this text bridges the gap between the elementary calculus sequence and higher-level mathematics courses. The versatile, original approach focuses on learning to read and write proofs rather than covering advanced topics. Based on lecture notes that were developed over many years at The University of Seattle, the treatment is geared toward undergraduate math majors and suitable for a variety of introductory courses.Starting with elementary concepts in logic and basic techniques of proof writing, the text defines topological and metric spaces and surveys continuity and homeomorphism. Additional subjects include product spaces, connectedness, and compactness. The final chapter illustrates topology's use in other branches of mathematics with proofs of the fundamental theorem of algebra and of Picard's existence theorem for differential equations.
"This is a back-to-basics introductory text in point-set topology that can double as a transition to proofs course. The writing is very clear, not too concise or too wordy. Each section of the book ends with a large number of exercises. The optional first chapter covers set theory and proof methods; if the students already know this material you can start with Chapter 2 to present a straight topology course, otherwise the book can be used as an introduction to proofs course also." -- Mathematical Association of America
Binding Type: Paperback
Publisher: Dover Publications
Published: 05/18/2016
ISBN: 9780486803494
Pages: 256
Weight: 0.70lbs
Size: 8.90h x 6.00w x 0.50d
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★★★★★ 4
Heavy duty chewing, not heavy duty dropping
Size: X-Large, Color: Textured Ring
My super chewer loved this toy, great shape, provided long lasting entertainment. However, when he dropped it from his mouth onto our epoxy flooring (not a far drop as he’s only 50lbs) one chunk broke clean off at the 2 smaller joints. Although we kept the larger piece for a while, a similar drop a week later broke it again. Considering this is fairly inexpensive, I wasn’t expecting it to be indestructible. It’s just strange how it broke. Will probably buy again to test one more time.
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Reviewed in the United States on March 9, 2026
★★★★★ 5
My dog loves these things
Size: Large, Color: Femur Bone
My dog loves these things. They don't smell at all. It was a great price. It's big enough for my Frenchie. It's pretty durable but he is able to gnaw it rough so I do have to replace them periodically.
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Reviewed in the United States on March 24, 2026
★★★★★ 5
Doggo Approved
Size: X-Large, Color: Textured Ring, Size: X-Large, Color: Textured Ring
About as indestructible as it gets. It's just very hard molded material. I always make sure to wash the dog toys before letting them play, who knows where they come from. Picture is after hours/days of the built playing with it
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Reviewed in the United States on May 26, 2026
★★★★★ 5
Old Faithful
Size: Large, Color: Wishbone, Size: Large, Color: Wishbone
AmStaf/Lab loves this product. I am still concerned about him ingesting the sharp little pieces he gnaws off, but he seems OK after three months of using these. Tried the Nylabone natural/wild products but they are not usable as a "chew" and disappear within minutes, nay seconds!
-So here I am back to the "strong chew" wishbone product which makes my dog happy and keeps him busy not eating my shoes. (Be warned though, these are worse than Legos if accidentally stepped on!)
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Reviewed in the United States on April 13, 2026
★★★★★ 5
Perfect for small dog that likes to chew
Size: Small, Color: Textured Ring
Just got this today (small size for my 15 lb dog) and she loves it. Perfect size for her small mouth and teeth. Keeps her busy and even tires her out and rests a while, Between this type of dog toys and ones that squeak she is having a great time
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Reviewed in the United States on May 4, 2026