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Description
Counterexamples in AnalysisThese counterexamples, arranged according to difficulty or sophistication, deal mostly with the part of analysis known as real variables, starting at the level of calculus. The first half of the book concerns functions of a real variable; topics include the real number system, functions and limits, differentiation, Riemann integration, sequences, infinite series, uniform convergence, and sets and measure on the real axis. The second half, encompassing
These counterexamples, arranged according to difficulty or sophistication, deal mostly with the part of analysis known as real variables, starting at the level of calculus. The first half of the book concerns functions of a real variable; topics include the real number system, functions and limits, differentiation, Riemann integration, sequences, infinite series, uniform convergence, and sets and measure on the real axis. The second half, encompassing higher dimensions, examines functions of two variables, plane sets, area, metric and topological spaces, and function spaces. This volume contains much that will prove suitable for students who have not yet completed a first course in calculus, and ample material of interest to more advanced students of analysis as well as graduate students. 12 figures. Bibliography. Index. Errata.Binding Type: Paperback
Publisher: Dover Publications
Published: 06/04/2003
ISBN: 9780486428758
Pages: 218
Weight: 0.56lbs
Size: 8.46h x 6.38w x 0.49d
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Product Reviews
★★★★★ 3
Broke a bit fast but worked well for a little
Number of Items: 1
The sprayer on the can broke after a few uses unfortunately but the product is beautiful and works well as long as your sprayer doesn’t break like mine did.
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Reviewed in the United States on April 13, 2026
★★★★★ 5
Perfect and not too shiny when wearing
Number of Items: 2
Great buy for any age
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Reviewed in the United States on May 6, 2026
★★★★★ 5
Great glitter body spray
Color: Fairy-Diamond, Color: Fairy-Diamond
So cute. Came with extra glitter, I’m assuming lipgloss you can make into glitter lipgloss, a funnel to help pour the glitter. Or re load your spray. The spray performance is nice. Might stick better with some oil before hand? But I like it so far. Worked 6 hours and still had glitter on me for my photoshoot. I sprayed perfume and then glitter. There’s no odor. The amount of quantity of glitter you get seems good for the price. Durability seems good so far but like I said may need some oil or lotion first to help it stick all day.
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Reviewed in the United States on May 18, 2026
★★★★★ 5
Troll glitter
Color: Brandy-Rose
Do not spray too much! This glitter is so fine that it dispenses easily from the puff part and you can easily make yourself look like Poppy the troll. We had so much fun with this for prom
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Reviewed in the United States on May 30, 2026
★★★★★ 5
Glitter with staying power
Color: Rainy-Rainbow, Color: Rainy-Rainbow
Super fun and sparkly, the color is beautiful, it comes with 2 glue tubes with brushes that you use to rub the glue onto your skin in order for the sparkle to stick better and longer, made a heart shape on my arm, dries fairly quickly and washes off easily when you're done with it
It sprays a fine layer and evenly, it's great for building on for more sparkle or to just have a light layer
Even without the glue it lasts at least a couple hours with minimal shedding and light use, seems to have good longevity
With 2 glue tubes, a refill tub, funnel and the glitter spray bottle I feel $10 is a great value considering everything you get with it, Overall I feel like it's a fantastic product and will buy again!
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Reviewed in the United States on July 22, 2025
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