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blog.lambdaclass.com
| | explained-from-first-principles.com
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| | A lot of modern cryptography builds on insights from number theory, which has been studied for centuries.
| | andrea.corbellini.name
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| | www.jeremykun.com
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| | The study of groups is often one's first foray into advanced mathematics. In the naivete of set theory one develops tools for describing basic objects, and through a first run at analysis one develops a certain dexterity for manipulating symbols and definitions. But it is not until the study of groups that one must step back and inspect the larger picture. The main point of that picture (and indeed the main point of a group) is that algebraic structure can be found in the most unalgebraic of settings.
| | vitalyobukhov.wordpress.com
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