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This module is an introduction to the basic notions of algebra, such as sets, numbers, matrices, polynomials and permutations. It not only introduces the topics, but shows how they form examples of abstract mathematical structures such as groups, rings and fields, and how algebra can be developed on an axiomatic foundation. Thus, the notions of definition, theorem and proof, example and counterexample are described. The module is an introduction to later modules in algebra.