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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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4.2 ★★★★★
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Product Reviews
★★★★★ 5
Very good for the price
Size: 30FT, Style: 16AWG-3C
Great for what I used it for
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Reviewed in the United States on October 2, 2024
★★★★★ 5
Worked out great
Size: 10FT, Style: 16AWG-3C
Just what we needed to rewire a light fixture with
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Reviewed in the United States on March 22, 2023
★★★★★ 5
Perfect to make extension cords
Size: 20FT, Style: 16AWG-3C
I have several portable tungsten work lights on stands. They product a high level of light which is great for work in a place without adequate lighting. I can move the lights around and get the best lighting. The problem is that they have short cords. This wire, the 16AWG (with the addition of a plug and a receptacle) will solve that problem. The outer jacket is rugged enough to handle daily use and it is light enough that it is not a bother to carry several to the work site.
With a rating of 13.1 amps it maybe a little light to use as a replacement cord for power tools, but this wire does come in several other sizes including 14AWG which should work on most tools.
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Reviewed in the United States on November 18, 2022
★★★★★ 5
nice 3 strand 16 gauge wire
Size: 20FT, Style: 16AWG-3C, Size: 20FT, Style: 16AWG-3C
This review is for a 20 foot sample of 3 stranded 16 gauge wire. 300V capacity. Using a multimeter, I got a resistance reading of 0.2 ohms across each of the three strands (at roughly 68 degrees Farenheit). Specs say 26 strands of 0.254 mm Tinned copper wire are inside each cable. Good flexibility in the covering.
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Reviewed in the United States on November 18, 2022
★★★★★ 5
Just what was needed
Size: 20FT, Style: 16AWG-3C
This worked great to extend an electrical line a short distance further than the one that was attached to it. No issues encountered.
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Reviewed in the United States on November 19, 2022