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Math Help - Any good resource?

  1. #1
    Senior Member sfspitfire23's Avatar
    Joined
    Oct 2009
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    Any good resource?

    Hey guys,

    Anyone have a really good resource to learn about the IVT and EVT for an analysis level proof class? Anywhere online where I can see proofs involving the EVT and IVT?

    Thanks all
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  2. #2
    Senior Member
    Joined
    Feb 2010
    Posts
    422
    Not really, sorry ;[ But I'll give you a fun, easy problem I learned that requires only an elementary application of the IVT: suppose I have a metal ring which I heat unevenly. Show that there are two points exactly opposite each other on the ring with the same temperature. In other words, if f is a continuous function on a circle, show that there are points x and -x where f has the same value. Its easy, but it has fun generalizations. For example, there are always two points on the earth opposite of each other with the same temperature AND wind speed.
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