Using mathematics in administration

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    Mathematics
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Discussion Overview

The discussion explores the application of mathematics in administrative contexts, particularly focusing on historical examples where mathematical methods have been employed to address societal issues. It touches on various aspects such as operations research, statistical analysis, and specific historical instances during wartime.

Discussion Character

  • Exploratory
  • Historical

Main Points Raised

  • Some participants inquire about the practical use of mathematics in solving administrative problems and seek historical examples.
  • One participant suggests that governmental statistical agencies exist to utilize mathematics in public administration, particularly in budgeting and taxation.
  • Another participant references "Operations Research" as a significant application of mathematics during World War II.
  • A participant shares a story about Freeman Dyson's analytical methods used in Bomber Command, highlighting a specific instance where mathematics contributed to saving lives.
  • Another example provided is George Dantzig's development of the simplex algorithm during his time in the US Air Force, which was instrumental in solving linear programming problems and advancing operations research.

Areas of Agreement / Disagreement

Participants present multiple examples and viewpoints regarding the use of mathematics in administration, but there is no consensus on a singular approach or conclusion regarding its overall effectiveness or scope.

Contextual Notes

The discussion does not resolve the limitations of the examples provided, such as the specific conditions under which these mathematical applications were successful or the assumptions underlying their effectiveness.

KOUSIK
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Can we use mathematics in real world to solve administrative problems? Are there any examples from history where administrators have used math to solve society's problems?
 
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Why do you think there are governmental statistical agencies? And what about budgets? And taxes?
 
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"Operations Research," in WW II.
 
Consider the story of George Dantzig and his development of the simplex algorithm to solve linear programming problems based on his time in the US Air Force during WWII working on planning problems, which helped to develop the field of operations research.

https://en.wikipedia.org/wiki/Simplex_algorithm#History
 

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