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Jacobian and Hessian Matrices

  1. Jul 9, 2011 #1
    Can someone direct me to a good deep exposition of Jacobians and Hessians? I am especially looking for stuff that pertains to their being generalizations of derivatives of vector and scalar functions as well as div, grad, curl. Book sources or web links are appreciated.
     
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  3. Jul 9, 2011 #2

    hunt_mat

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    have you tried looking on wikipedia?
     
  4. Jul 9, 2011 #3
    Of course. There were a few helpful articles I found.
     
  5. Jul 9, 2011 #4
    Just go to google.your country and try the words: E.B. Christoffel revisited.

    You will find very interesting recent works on that topic.

    But ...good luck, because its a hard "stuff"
     
  6. Jul 9, 2011 #5

    hunt_mat

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    The Hessian is essentially a matrix operator that takes functions [itex]f:\mathbb{R}^{n}\rightarrow\mathbb{R}[/itex] and maps them into [itex]\mathbb{R}^{n\times n}[/itex], the element [itex]H_{ij}[/itex] of the matrix are given by:
    [tex]
    H_{ij}=\frac{\partial^{2}f}{\partial x_{i}\partial x_{j}}
    [/tex]
     
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