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 ...
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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. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at ... This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
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