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1. • CommentRowNumber1.
   • CommentAuthorzskoda
   • CommentTimeSep 2nd 2011
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   Author: zskoda
   Format: MarkdownItexTo add recent surge of activity (by Urs, me etc.) in $n$Lab 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.

   To add recent surge of activity (by Urs, me etc.) in $n$Lab 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.

2. • CommentRowNumber2.
   • CommentAuthorTodd_Trimble
   • CommentTimeSep 2nd 2011
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   Author: Todd_Trimble
   Format: MarkdownItexThis was a perfect excuse to add my favorite proof of the spectral theorem for real symmetric $n \times n$ 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).

   This was a perfect excuse to add my favorite proof of the spectral theorem for real symmetric $n \times n$ 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).

3. • CommentRowNumber3.
   • CommentAuthorzskoda
   • CommentTimeSep 2nd 2011
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   Author: zskoda
   Format: MarkdownItexAmazing :)

   Amazing :)

4. • CommentRowNumber4.
   • CommentAuthorMike Shulman
   • CommentTimeSep 3rd 2011
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   Author: Mike Shulman
   Format: MarkdownItexWow! Nice, Todd.

   Wow! Nice, Todd.