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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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★★★★★ 5
Best plug if you are traveling to France or Europe
Style: Type C/G/A-Most Countries-3FT
If you ever need a European plug, this is the one to get. I took it with me to France for a whole month and it was a life saver. I was able to plug all my electronics and also have no issues with the conversion of watts. Now that I have it I take it with me anytime I travel to Europe.
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Reviewed in the United States on January 31, 2026
★★★★★ 5
Perfect, travel accessory
Style: Type C/G/A-Most Countries-3FT, Style: Type C/G/A-Most Countries-3FT
Perfect travel item!
This was so useful two of us were able to charge our phone at the same time and our extra battery pack. Perfect travel item should be a staple.
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Reviewed in the United States on May 22, 2026
★★★★★ 5
Great Buy
Style: Type C/G/A-Most Countries-3FT
Bought for trip to Italy. The long cord worked great as I had several things to charge and the side tables weren't big enough. This reached the floor and nothing was falling off tables. The plug fit snugly in the socket which was key as they tend to be loose there. Don't take your own hair dryer or curling iron, they burn out from the amperage there.
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Reviewed in the United States on April 6, 2026
★★★★★ 4
Good product
Style: Type C/G/A-Most Countries-3FT
A little bulky but worked great for my trip to Italy.
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Reviewed in the United States on March 27, 2026
★★★★★ 5
Fantastic adapter for international travel
Style: Type C/G/A-Most Countries-3FT
This adapter worked as intended when needing to charge devices in Europe. The adapter was easy to attach to the plug and the cord length came in handy for sockets that were in hard to reach locations. The only thing is it does take up some space in luggage, so make sure to account for that. Would definitely recommend for international travel.
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Reviewed in the United States on April 30, 2026