What are the practical applications of Sequences and Series?

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Homework Help Overview

The discussion revolves around the practical applications of sequences and series in various fields, particularly in mathematics and engineering. Participants are exploring how these concepts manifest in real-life scenarios and their significance in different professions.

Discussion Character

  • Exploratory, Conceptual clarification

Approaches and Questions Raised

  • Participants are sharing examples of how sequences and series are utilized in their respective fields, questioning the definition of "real life" in this context. There are mentions of infinite series in mathematics, applications in engineering, and specific examples like the Arctan series in sewing.

Discussion Status

The discussion is ongoing, with various interpretations of the applications of sequences and series being explored. Some participants have provided specific examples and contexts, while others are seeking further clarification and additional examples.

Contextual Notes

There is a mention of a term report being prepared, indicating a need for concrete examples and applications. Participants are also questioning the validity of certain claims regarding the use of series in practical scenarios.

chound
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Does anyone know what are the uses of Sequences and Series in real life:confused:
 
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Have you come up with any examples yet?
 
What do you mean by "real life"? I use them all the time but then, I'm a mathematician so my "real life" might be different from yours! In other words, what we consider "uses" might be very different. I consider the fact that infinite decimal numbers, like the repeating decimal 0.33333... or [itex]\pi[/itex] are defined in terms of infinite series to be an important use. An engineer might think of the fact that most linear differential equations with variable coefficients have to be solved using infinites series to be the most important use.

I think anyone who has taken enough calculus to work with power series (Taylor's or MacLaurin's series) would consider that to be an important application.
 
I need to prepare a term report i.e. a page on the applications of sequences and series
 
chound said:
Does anyone know what are the uses of Sequences and Series in real life:confused:
Actually, I heard that seamstresses are very fond of the Arctan series, because it resonates with the way they are stitching together clothes.

I'm not sure if it is really true, though.
 
Most of the functions can be written in Series like analytic ones in Power series,discontinuous ones in Fourier Series,As per according to Halls ,I found Power series method to very important.
And even in case of Complex Algebra ,Laurent series are helpful in finding real integrals making use of Residue theorem quite easily.
I believe they are very important tools of an Mathematician.
 

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