Microsoft Excel Help - Sum a Series Function

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SUMMARY

The discussion centers on using Microsoft Excel to compute a summation of a complex mathematical function, specifically the series defined by (2/(n*pi))*sin(n*pi*z/L)*e^(-(n^2)*pi*pi*k*t/(L^2)). The original poster struggles to find a suitable summation function in Excel to handle this computation. A participant suggests creating a column with values from 1 to 10 and using formulas in adjacent cells to compute the series, while another participant recommends using Matlab for more complex computations, emphasizing its capability to handle functions more efficiently than Excel.

PREREQUISITES
  • Understanding of mathematical series and summation notation
  • Familiarity with Microsoft Excel formulas and functions
  • Basic knowledge of Matlab for computational tasks
  • Concepts of constants in mathematical functions (e.g., pi, z, L, k, t)
NEXT STEPS
  • Learn how to implement summation in Microsoft Excel using array formulas
  • Explore Matlab's capabilities for symbolic computation and function handling
  • Investigate the use of Python libraries like NumPy for numerical summation
  • Study advanced Excel functions such as SUMPRODUCT and array manipulation techniques
USEFUL FOR

Mathematicians, engineers, data analysts, and anyone needing to perform complex summations or computations beyond basic spreadsheet capabilities.

conquertheworld5
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this is rather embarrassing, but it's late, i have a headache and can't figure this out.

so i have this complicated function i need to sum (not sum as in add up - sum as in sum a series).
my formula that needs to be summed:
(2/(n*pi))*sin(n*pi*z/L)*e^(-(n^2)*pi*pi*k*t/(L^2))

pi, z, L, k, t are constants, i want sum n from 1 to 10... i looked through all the "sum" functions but i couldn't find a summation in which i could enter a function to be summed.

help?
Thanks
 
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Set the first column to the numbers 1 thru 10, then in the second column, set up your formulas for each n and sum down the column.
 
So, I was waiting for somebody to say it... :)

In my opinion, spreadsheet is a braindead tool for any computation past what you'd jot on a piece of paper in a grocery store. If one doesn't intend to compute anything more complicated than that in the nearby future, spreadsheet might be a reasonable way to go.

Otherwise, I recommend switching to a tool that could support exactly what OP originally had in mind (passing one function to another), and, say, doesn't require more than flicking one number in order to increase or decrease the number of terms in the summation. Which would be just about any tool, e.g. the ubiquitous Matlab.

--
Chusslove Illich (Часлав Илић)
 

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