Excerpt from Quadratic Forms and Their Classification by Means of Invariant Factors, Vol. 3 The theory is developed in an order which may seem unusual to readers already acquainted with other methods of treatment; but my object has been to obtain a fairly complete account in the minimum of space. If the methods of Weierstrass or Barboux had been adopted, a long and rather tedious discussion would have been needed for certain determinantal theorems (arts. 24, before the real problem of reduction could have been attacked. ...
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Excerpt from Quadratic Forms and Their Classification by Means of Invariant Factors, Vol. 3 The theory is developed in an order which may seem unusual to readers already acquainted with other methods of treatment; but my object has been to obtain a fairly complete account in the minimum of space. If the methods of Weierstrass or Barboux had been adopted, a long and rather tedious discussion would have been needed for certain determinantal theorems (arts. 24, before the real problem of reduction could have been attacked. Further, the singular case would then have required an entirely separate discussion, of which the only satisfactory account1 is both involved and laborious. 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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