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The Genesis of the Abstract Group Concept: A Contribution to the History of the Origin of Abstract Group TheoryThis informative survey chronicles the process of abstraction that ultimately led to the axiomatic formulation of the abstract notion of group. Hans Wussing, former Director of the Karl Sudhoff Institute for the History of Medicine and Science at Leipzig University, contradicts the conventional thinking that the roots of the abstract notion of group lie strictly in the theory of algebraic equations. Wussing declares their presence in the geometry and
This informative survey chronicles the process of abstraction that ultimately led to the axiomatic formulation of the abstract notion of group. Hans Wussing, former Director of the Karl Sudhoff Institute for the History of Medicine and Science at Leipzig University, contradicts the conventional thinking that the roots of the abstract notion of group lie strictly in the theory of algebraic equations. Wussing declares their presence in the geometry and number theory of the late eighteenth and early nineteenth centuries.This survey ranges from the works of Lagrange via Cauchy, Abel, and Galois to those of Serret and Camille Jordan. It then turns to Cayley, to Felix Klein's Erlangen Program, and to Sophus Lie, concluding with a sketch of the state of group theory circa 1920, when the axiom systems of Webber were formalized and investigated in their own right.
"It is a pleasure to turn to Wussing's book, a sound presentation of history," observed the Bulletin of the American Mathematical Society, noting that "Wussing always gives enough detail to let us understand what each author was doing, and the book could almost serve as a sampler of nineteenth-century algebra. The bibliography is extremely good, and the prose is sometimes pleasantly epigrammatic."
Binding Type: Paperback
Publisher: Dover Publications
Published: 05/11/2007
ISBN: 9780486458687
Pages: 331
Weight: 0.90lbs
Size: 9.18h x 6.17w x 0.63d
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Well made and perform well, a little constricting
Size: Medium, Color: Black Assortment (6-pairs)
These socks definitely keep most of the moisture away from my feet, even in wet conditions, which is why I bought them. I am diabetic, though, and the recommendation is to wear socks that don't constrict at any point. These have a tight band around the opening that while it is not uncomfortable on, leaves a mark when I take them off. So far it's been ok, but if you have any kind of swelling in your feet or ankles these would probably not be the best. My foot measures size 8 and I wear size 9 Brooks running shoes. The socks fit me just right but based on the size of the opening and the overall length, I wouldn't think they would fit anyone more than a size larger. Overall well made and perform well as you would expect from this brand.
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Reviewed in the United States on July 20, 2018
★★★★★ 5
long lasting!
Size: Medium, Color: Black/Assorted
literally my favorite sock i will buy forever. they just started busting through after 6 years and i wear them a lot
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Reviewed in the United States on November 13, 2025
★★★★★ 5
Good quality
Size: Medium, Color: Black/Assorted
Comfy and sturdy
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Reviewed in the United States on January 27, 2025
★★★★★ 5
Favorite socks
Size: Medium, Color: Black/Assorted
These are my go to socks! Love these. Great towards sweat and different weather temperatures. Mostly use for working out and love them. Will be getting more!
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Reviewed in the United States on April 9, 2024
★★★★★ 5
Great fit
Size: Medium, Color: White
Perfect fit and they don't slide off the back of your ankle.
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Reviewed in the United States on March 16, 2026