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Investigates the idea of isomorphism in group theory, and shows how two groups may really be the same, even though they look totally different at first sight. Shows how a Scottish country dance for four...
Investigates the idea of symmetry of three-dimensional objects and develops a strategy for counting the symmetries of the five so-called ‘Platonic solids’. This strategy is used to check the results for...
Investigates the isomorphism theorem in group theory, showing how the theorem can be used to identify quotient groups by finding suitable homomorphism.
Understanding what is meant by an integer or fraction is easy enough, but how can we handle number like the square root of 2, or pi, or e, and how can we do arithmetic such on numbers or work out the answer...
Takes the idea of a sequence of positive terms and develops it into the concepts of convergent and divergent terms.
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