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.
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© 2016 Springer International Publishing AG
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Alpay, D. (2016). Complex Numbers: Algebra. In: A Complex Analysis Problem Book. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-42181-0_1
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DOI: https://doi.org/10.1007/978-3-319-42181-0_1
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Publisher Name: Birkhäuser, Cham
Print ISBN: 978-3-319-42179-7
Online ISBN: 978-3-319-42181-0
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