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Gardner, Robert B.
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The ideas of Elie Cartan are combined with the tools of Felix Klein and Sophus Lie to present in this book the only detailed treatment of the method of equivalence. An algorithmic description of this method, which finds invariants of geometric objects under infinite dimensional pseudo-groups, is presented for the first time.
As part of the algorithm, Gardner introduces several major new techniques. In particular, the use of Cartan's idea of principal components that appears ...
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Philadelphia: Society for Industrial and Applied Mathematics, 1989
e20451180
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