Background: Complex Numbers and Linear Algebra

  • Michael W. Frazier
Part of the Undergraduate Texts in Mathematics book series (UTM)


We start by setting some notation. The natural numbers {1, 2, 3, 4,...} will be denoted by ℕ, and the integers {..., −3, −2, −1, 0, 1, 2, 3,...} by ℤ. Complex numbers will be introduced later. We assume familiarity with the real numbers ℝ and their properties, which we briefly summarize here. The basic algebraic properties of ℝ follow from the fact that ℝ is a field.


Vector Space Linear Transformation Linear Algebra Unitary Matrice Invertible Matrix 
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Copyright information

© Springer Science+Business Media New York 2000

Authors and Affiliations

  • Michael W. Frazier
    • 1
  1. 1.Department of MathematicsMichigan State UniversityEast LansingUSA

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