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    • CommentRowNumber1.
    • CommentAuthorzskoda
    • CommentTimeSep 2nd 2011

    To add recent surge of activity (by Urs, me etc.) in nnLab on symplectic geometry, variational calculus and mechanics I created the entry Lagrange multiplier following mainly Loomis-Strenberg. For convenience, I uploaded the critical 4 pages from their book.

    • CommentRowNumber2.
    • CommentAuthorTodd_Trimble
    • CommentTimeSep 2nd 2011

    This was a perfect excuse to add my favorite proof of the spectral theorem for real symmetric n×nn \times n matrices. The usual proofs I’ve seen in textbooks involve the fundamental theorem of algebra, which is a slightly heavy gun for this application. The proof shows that the spectral theorem is a simple application of Lagrange multipliers (and gives more geometric insight; cf. principal curvatures and so forth).

    • CommentRowNumber3.
    • CommentAuthorzskoda
    • CommentTimeSep 2nd 2011

    Amazing :)

    • CommentRowNumber4.
    • CommentAuthorMike Shulman
    • CommentTimeSep 3rd 2011

    Wow! Nice, Todd.

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