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Summary Pure Mathematics

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The first-year work in this subject divides naturally into two parts. The first part deals with structures, introducing the ideas of sets and functions, matrices and linear equations. Linear algebra develops the ideas of abstraction, rigour and proof, and has applications to nearly every branch of mathematics as well as to economics and the biological and physical sciences. The second part deals with the subject of groups - a concept of remarkable power and beauty, which has applications to all branches of mathematics, and, in particular, to the study of symmetry and elementary particle theory in physics. It also continues with the study of linear algebra.

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