Chapter: Basics of Real Analysis of One Variable

Every treatise about the real analysis should begin with the introduction of some basic concepts required to equip you with all the prerequisites you need to be able to dive into the concepts of calculus deeper. However, in order to avoid redundant content, BookofProofs deals with these concepts elsewhere, and you might refer to the links given below to find out more.

  1. Section: Real Intervals and Bounded Real Sets
  2. Proposition: Rational Numbers are Dense in Real Numbers
  3. Proposition: Open Intervals Contain Uncountably Many Irrational Numbers
  4. Proposition: Open Real Intervals are Uncountable

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