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What is the most motivating way to introduce group theory to first year undergraduate students? I am looking for some real life motivation or something which has a real impact.
Reflections, rotations, subtraction, division, solvability of algebraic equations, symmetries, the clock on the wall, isomorphisms, equivalence classes, greatest common divisor, least common multiple, ... etc. without groups there are no vector spaces, rings, fields, algebras, and large parts of physics.What is the most motivating way to introduce group theory to first year undergraduate students? I am looking for some real life motivation or something which has a real impact.
Reflections, rotations, subtraction, division, solvability of algebraic equations, symmetries, the clock on the wall, isomorphisms, equivalence classes, greatest common divisor, least common multiple, ... etc. without groups there are no vector spaces, rings, fields, algebras, and large parts of physics.
What is the most motivating way to introduce group theory to first year undergraduate students? I am looking for some real life motivation or something which has a real impact.