Homogeneous Linear Substitutions (Classic Reprint) - Hardcover

Harold Hilton

9780484481298: Homogeneous Linear Substitutions (Classic Reprint)

Hardcover

ISBN 10: 0484481290 ISBN 13: 9780484481298

Publisher: Forgotten Books, 2018

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Excerpt from Homogeneous Linear Substitutions

N this book I have attempted to put together for the benefit of the mathematical student those properties of the Homogeneous Linear Substitution with real or complex coefficients of which frequent use is made in the Theory of Groups and in the Theory of Bilinear Forms and Invariant-factors; but which have not hitherto been collected in a single treatise, so far as I am aware.

I have confined myself to those properties of substitutions which do not depend on any group' of such substitutions. The main reason for this limitation is the fact that the most interesting properties of substitution-groups may be found in the second edition of Prof. Burnside's Theory of Groups (cambridge Univ. Press, and it does not seem worth while to repeat work already so excellently performed. I have also limited myself in the main to the discussion of substitutions whose determinant does not vanish.

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