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.
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Paperback. Condizione: New. Print on Demand. This book introduces quadratic expressions and their classification using a method developed by Kronecker. It investigates the relation between a family of quadratic forms and the forms of its components and reveals that their invariant factors are identical. Demonstrating the use of invariant factors in identifying characteristics for families containing more than four variables, the author provides a new approach to an old problem. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Codice articolo 9781333001537_0
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Condizione: New. KlappentextrnrnExcerpt from Quadratic Forms and Their Classification by Means of Invariant Factors, Vol. 3The theory is developed in an order which may seem unusual to readers already acquainted with other methods of treatment but my ob. Codice articolo 2148011139
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