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Investigates the orbit-stabilizer theorem in group theory, and shows how this leads to the counting theorem, which is used to solve counting problems.
Uses a variety of graphics sequences, animations and three-dimensional models to establish a geometric characterisation of ‘conjugacy’. Specifically, it is proved that two elements of a symmetry group...
Discusses ways in which a sequence of items can be stored in a computer. One is to use a data structure such as an array, and to sort the elements. This is acceptable for sequences which do not change very...
Introduces the cycle notation for permutations. Shows how any permutation can be represented by a combination of cycles. Looks at the relationship between the conjugacy classes of a permutation and the cycle...
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Learning on Screen