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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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★★★★★ 5
Great sock liners
Size: Medium, Color: (001) Black / Black / Pitch Gray
Awesome socks. Has little gel pad on top of heel for no slip. Thin and comfortable. Previously Purchased at Nordstrom rack and no longer in stock. Happy to find here
Note: Will shrink a little best to air dry
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Reviewed in the United States on April 16, 2026
★★★★★ 5
Very good product
Size: Medium, Color: (001) Black / Black / Pitch Gray
I purchased these to wear inside lowcut slip on casual shoes, I don't particularly like to not wear socks in my shoes for hygienic reasons. Prior to purchasing these socks, all I could find were those made of very light beige hosiery type material , and my slip on shoes would slide around a bit. These are light weight and breathable athletic type material, with a very good gripper strip at the heel. One pair of my slip on casual shoes have a particularly lower cut in the toe area, but the shoe is black and I chose the black color and though I see a hint of the sock there, it matches and does not detract from the look of the casual solid black shoe
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Reviewed in the United States on May 15, 2026
★★★★★ 5
They stay out! No more sock wads!
Size: Medium, Color: (100) White / White / Mod Gray
Best no show socks ever made!!!!! I've been struggling for 2 years to find ones that actually stay on your foot, even other national brands, and I just became content wearing my sneakers without socks. They ALWAYS slid down into my show & I ended up walking on a wad of sock until I could fix it...or usually just took them off after a couple of tries. Enter Under Armor!!! They a mid weight, but not very thick & still breathable. They work too by actually staying on your foot! Not once have they slid down into my show!! Very comfortable but they could be a little more affordable.
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Reviewed in the United States on August 1, 2025
★★★★★ 5
Love!
Size: Large, Color: (100) White / White / Mod Gray
Ive tried so many no show socks but I love these. This is the 3rd set I've bought. They never slip off and the material is thin and breathable. Perfect for working out.
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Reviewed in the United States on March 2, 2026
★★★★★ 5
True no-show socks that don’t slide down!
Size: Medium, Color: (100) White / White / Mod Gray, Size: Medium, Color: (100) White / White / Mod Gray
This is the first pair of no-show socks I’ve tried that actually don’t slide down into my shoes. Trust me… I have tried lots of different pairs and this is the one! They fit perfectly. They’re not too thick and they’re obviously durable because I wash them after each wear, so daily.
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Reviewed in the United States on March 21, 2026