Sets, Mappings, Relations and Operations

The Midland Mathematical Experiment, in which a number of schools collaborated with the aim of developing a new approach to teaching mathematics in the Grammar School, developed a series of books to cover their ‘A’-level syllabus. Sets, Mappings, Relations and Operations is split into sections, each section containing explanations, examples and exercises. [b]Sets[/b] considers elements, subsets, equivalent sets, denumerable sets, closed and open sets, operations within sets, truth tables and set algebra. [b]Mappings[/b] discusses the concept of mapping, surjective mapping, injective mapping, bijective mapping, matrix representation of mappings, product mappings and fixed points of a mapping. [b]Relations[/b] looks at relations within sets, properties of relations and networks. [b]Operations[/b] looks at operations within sets, the uses of operations and some useful notes and theorems. The book concludes with a section containing answers to the exercises.