Abstract Algebra Articles

Tag Archive for: Abstract algebra

Groups, The Path from a Simple Concept to Mysterious Results

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Introduction The concept of a group is as simple as it gets: a set with a binary operation like addition and a couple of natural laws like the requirement…
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Self-Study Guide: How to Learn Abstract Algebra Step by Step

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Self-studying abstract algebra requires only precalculus-level math and basic familiarity with mathematical proofs. A practical path runs from proof-writing…
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University Math for High Schoolers: Where to Start

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High school students who want a taste of university-level mathematics before they graduate can start now with subjects like abstract algebra, linear algebra,…
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Peano Axioms Explained: Natural Numbers Made Rigorous

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The natural numbers can be defined rigorously through the Peano axioms, a system built from a set, a successor function, and a starting element (0 or 1…
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Well-Formed Formulas in Set Theory: WFFs Explained Clearly

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What Is a Well-Formed Formula in Set Theory? A well-formed formula (wff) in set theory is a string of symbols built strictly from the alphabet of set…