Abstract
Complex series are studied and further convergence tests described. Important concepts include absolute convergence and conditional convergence. Nuggets include Riemann’s rearrangement theorem and Gauss’ test.
I mean the word proof not in the sense of the lawyers, who set two half proofs equal to a whole one, but in the sense of a mathematician, where half proof = 0, and it is demanded for proof that every doubt becomes impossible.
C. F. Gauss
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Magnus, R. (2020). Complex Sequences and Series. In: Fundamental Mathematical Analysis. Springer Undergraduate Mathematics Series. Springer, Cham. https://doi.org/10.1007/978-3-030-46321-2_10
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DOI: https://doi.org/10.1007/978-3-030-46321-2_10
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