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Complex Numbers: Algebra

In: A Complex Analysis Problem Book

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Listed:
  • Daniel Alpay

    (Ben Gurion University of the Negev, Department of Mathematics)

Abstract

This first chapter has essentially an algebraic flavor. The exercises use elementary properties of the complex numbers. A first definition of the exponential function is given, and we also meet Blaschke factors. These will appear in a number of other places in the book, and are key players in more advanced courses on complex analysis. Almost no methods from real or complex analysis are involved in the present chapter.

Suggested Citation

  • Daniel Alpay, 2011. "Complex Numbers: Algebra," Springer Books, in: A Complex Analysis Problem Book, chapter 0, pages 11-60, Springer.
    • Handle: RePEc:spr:sprchp:978-3-0348-0078-5_1
    DOI: 10.1007/978-3-0348-0078-5_1
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