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The Purpose of Polynomials

  1. Jul 15, 2007 #1
    1. Given the history of polynomials and there application why are they important?







    3. When I researched the history all I found on the internet all I found was who was the first to solved certain types of poynomial. It didn't help me figure out why they might be important. I know how to solve them, I am just not sure how to apply them to everyday life and what their purpose is. Any suggestions
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
  3. Jul 15, 2007 #2

    Gib Z

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    A quick search of "polynomials are important" in google finds : http://nostalgia.wikipedia.org/wiki/Polynomial.

     
  4. Jul 15, 2007 #3
    They are the basis of all other equations, as per Taylor's Theorem iterated to infinity?
     
  5. Jul 16, 2007 #4
    Polynomials define simple curves in the language of mathematics so that they may be easily analyzed and modified. Simple curves can be combined to closely approximate more complicated curves. Planets, weather, etc. move in curves. Mechanical forces, chemical and biological processes, etc. are not constant but change over space and time. These changes and other changes like fluctuations in the economy can be approximated by curves. Also, televisions, computers, phones, music players, etc. all receive signals that are sine waves (curves). Does an electrical engineer factor polynomials on a daily basis? No. A novelist doesn't analyze the structure of each sentence, but at some point the novelist needed to learn sentence structure to write books. In the same way, polynomials are the building blocks of all these sciences.
     
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