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Description
Foundations of AnalysisThis introduction to basic analysis presents a careful development of the real number system and the theory of calculus on the real line, extending the theory to real and complex planes. Designed as a first encounter with rigorous, formal mathematics for students with one year of calculus, the work features extended discussions of key ideas and detailed proofs of difficult theorems. Authors David F. Belding and Kevin J. Mitchell are Professors of Math
This introduction to basic analysis presents a careful development of the real number system and the theory of calculus on the real line, extending the theory to real and complex planes. Designed as a first encounter with rigorous, formal mathematics for students with one year of calculus, the work features extended discussions of key ideas and detailed proofs of difficult theorems.Authors David F. Belding and Kevin J. Mitchell are Professors of Math at Hobart and William Smith Colleges in Geneva, New York. Their approach emphasizes the connections between ideas, rather than rote, computational aspects of calculus. Their two-part treatment begins with the real number system and covers functions, limits, and continuity, as well as differentiation and integration and aspects of sequences and series. The second part explores calculus in two dimensions in addition to line integrals and Green's theorem. The text concludes with a concise survey of complex analysis.
Binding Type: Paperback
Publisher: Dover Publications
Published: 02/29/2008
ISBN: 9780486462967
Pages: 427
Weight: 1.20lbs
Size: 9.20h x 6.20w x 1.20d
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4.4 ★★★★★
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Product Reviews
★★★★★ 5
Durable
Color: Nude, Size: Women 9-13
These are form-fitting and durable. Wearing these keeps the skin moisturizer in place so it can be effective.
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Reviewed in the United States on January 14, 2026
★★★★★ 5
Great Results
Color: White, Size: Women 9-13, Color: White, Size: Women 9-13
The Jfrhuds Moisturizing Silicone Socks work very well. I ordered the white 2-pack in the large size 9-13, and each came packaged in an individual zipper bag. I wear a women's size 9-9.5, and they fit me perfectly. I can see how they have enough stretch to fit larger sizes easily and comfortably.
These socks are a lot thicker and heavier than I expected. They are rubbery with non-slip treads on the bottom. As soon as I put them on my feet, they actually felt very moisturizing and almost wet, even though I had not put moisturizer on my feet first. Plus my feet felt cold at first. It was different than I expected, I had never worn this type of sock before, and it was an interesting sensation.
They work great, and I am sold on the benefits of these socks. I wear them to sleep at night and dodn't walk very far in them. They seem pretty sturdy, but I don't want to push it and will just use them for their intended purpose. My feet weren't super dry or cracked, but the socks really helped revive them and make them super soft again. I love them; they are great for self-care and would also make a wonderful gift.
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Reviewed in the United States on April 20, 2026
★★★★★ 1
Not durable
Color: Nude, Size: Women 9-13
Only used two of them so far. One sock lasted nearly 3 wears. The other broke before I could finish wearing it the second time. Basically useless junk.
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Reviewed in the United States on April 2, 2026
★★★★★ 4
Thick Silicone Moisturizing Socks
Color: Nude, Size: Women 9-13, Color: Nude, Size: Women 9-13
★★★★☆ Thick Silicone Moisturizing Socks
I ordered these silicone moisturizing socks to try for dry heels. Unlike typical fabric spa socks, these are made entirely of soft silicone and are noticeably thicker and very stretchy.
When I first took them out of the package there was a visible fold line in the silicone. It appears to be from how they were folded in the packaging rather than a defect in the material. The silicone itself feels durable and flexible.
The design works like a full silicone sleeve that traps moisturizer against your skin. I applied Aquaphor first and then slid these on so the moisture stays in contact with the skin longer. One thing I noticed right away is that the silicone feels cool when you first put them on, which is actually pretty comfortable.
The bottoms have a zig-zag textured pattern that gives some grip if you need to stand briefly, though these seem better for relaxing while moisturizer absorbs rather than walking around much.
The ankle opening is the tightest part of the sock. It stretches, but it’s noticeably snug compared to the rest of the silicone, which helps keep them from sliding off.
For sizing reference, I wear a women’s 7.5–8 shoe and the size Large fits comfortably. There’s plenty of stretch and I can wiggle my toes easily, so they should accommodate larger feet as well.
They’re also easy to clean. After using them you can simply wash them with soap and water and let them dry completely before storing or using them again.
Overall these appear well made with thick silicone and plenty of stretch. If you use moisturizing socks or heel treatments, these work well for keeping lotion in place while your feet absorb it.
Since this set comes with two pairs for about $10, the price seems pretty reasonable for something reusable like this.
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Reviewed in the United States on March 6, 2026
★★★★★ 5
Enables the person to move around while wearing.
These silicon socks look a bit odd at first glance but they work great and best of all, any lotions and oily creams are contained on the inside so you can walk around. They are very soft. I haven't had them long so I can't comment on durability, but they are not made of lightweight material.
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Reviewed in the United States on March 10, 2026