Series of Numbers

Ludmila Bourchtein and Andrei Bourchtein
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Ludmila Bourchtein: Federal University of Pelotas, Institute of Physics and Mathematics
Andrei Bourchtein: Federal University of Pelotas, Institute of Physics and Mathematics

Chapter 2 in Theory of Infinite Sequences and Series, 2022, pp 43-140 from Springer

Abstract: Abstract The theory of series of numbers is based on the theory of sequences of numbers. This dependence is the result of both the definition of a series as a sum of all the elements of a sequence and the definition of its convergence as the convergence of a special sequence called the sequence of partial sums. The last point is of extreme importance in the construction of the theory of series.

Date: 2022
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DOI: 10.1007/978-3-030-79431-6_2

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