Abstract
This chapter gives an introduction to the study of sequences and series, both of complex and real numbers. We note that the convergence of sequences and series of complex numbers can always be reduced to the convergence of sequences and series of real numbers. We also consider the uniform convergence of functions, and we show that in the presence of uniform convergence both limits and series commute with the integral.
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© 2012 Springer-Verlag London
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Barreira, L., Valls, C. (2012). Sequences and Series. In: Complex Analysis and Differential Equations. Springer Undergraduate Mathematics Series. Springer, London. https://doi.org/10.1007/978-1-4471-4008-5_3
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DOI: https://doi.org/10.1007/978-1-4471-4008-5_3
Publisher Name: Springer, London
Print ISBN: 978-1-4471-4007-8
Online ISBN: 978-1-4471-4008-5
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