Complex Numbers and Functions

  • Serge Lang
Part of the Graduate Texts in Mathematics book series (GTM, volume 103)


One of the advantages of dealing with the real numbers instead of the rational numbers is that certain equations which do not have any solutions in the rational numbers have a solution in real numbers. For instance, x 2 = 2 is such an equation. However, we also know some equations having no solution in real numbers, for instance x 2 = - 1, or x 2 = — 2. We define a new kind of number where such equations have solutions. The new kind of numbers will be called complex numbers.


Complex Number Polar Form Open Disc Distinct Complex Number Adherent Point 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer Science+Business Media New York 1985

Authors and Affiliations

  • Serge Lang
    • 1
  1. 1.Department of MathematicsYale UniversityNew HavenUSA

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