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Recently I got some knowledge of the so-called hyper-determinant discovered by Cayley.

It arose a lot of interest of determinant in my mind.

So, is there any good account of the history of determinant?

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At Alain Lascoux's web page you can find .pdf files of Thomas Muir's encyclopedic history of determinants. Muir devoted quite a bit of his long life to this work, which is only one of a very few essentially complete literature surveys ever done of a mathematical field of study. FYI, Dickson's multi-volume treatise History of the Theory of Numbers is another such literature survey that is essentially complete up to the time it was written.

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