Discrete Math › Section A · Introduction and preliminaries › Topic A.2

A tour of discrete structures

Every discrete problem is solved by modelling it with a few standard objects: sets, functions, sequences, relations and graphs. This tour introduces each one briefly, so you can recognise it when later topics study it in depth.

In this topic

  • Structures are the tools
  • Sets
  • Building and comparing sets
  • Functions
  • Worked example: a set and a function
  • Sequences
  • Closed and recursive formulas
  • Worked example: one sequence, two descriptions
  • Relations
  • Worked example: building a graph
  • Common mistakes to avoid
  • Key takeaways

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