The following sets are used in this book: The set of natural numbers, N = {1, 2,

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The following sets are used in this book:

  • The set of natural numbers, N = {1, 2, 3,⋯}.
  • The set of integers, Z = {⋯,−3,−2,−1, 0, 1, 2, 3,⋯}.
  • The set of rational numbers Q.
  • The set of real numbers R.
  • Closed intervals on the real line. For example, [2, 3] is the set of all real numbers x such that 2 ≤ x ≤ 3.
  • Open intervals on the real line. For example (−1, 3) is the set of all real numbers x such that −1 < x < 3.
  • Similarly, [1, 2) is the set of all real numbers x such that 1 ≤ x < 2.
  • The set of complex numbers C is the set of numbers in the form of a + bi, where a, b ∈ R, and i = √−1.
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