Project Analysis in Developing Countries

Project Analysis in Developing Countries Diophantine equations over number fields have formed one of the most important and fruitful areas of mathematics throughout civilisation In recent years increasing interest has been aroused in the ana

  • Title: Project Analysis in Developing Countries
  • Author: Stephen Curry John Weiss R.C. Mason
  • ISBN: 9781299706811
  • Page: 239
  • Format: ebook
  • Diophantine equations over number fields have formed one of the most important and fruitful areas of mathematics throughout civilisation In recent years increasing interest has been aroused in the analogous area of equations over function fields However, although considerable progress has been made by previous authors, none has attempted the central problem of providingDiophantine equations over number fields have formed one of the most important and fruitful areas of mathematics throughout civilisation In recent years increasing interest has been aroused in the analogous area of equations over function fields However, although considerable progress has been made by previous authors, none has attempted the central problem of providing methods for the actual solution of such equations The latter is the purpose and achievement of this volume algorithms are provided for the complete resolution of various families of equations, such as those of Thue, hyperelliptic and genus one type The results are achieved by means of an original fundamental inequality, first announced by the author in 1982 Several specific examples are included as illustrations of the general method and as a testimony to its efficiency Further, bounds are obtained on the solutions which improve on those obtained previously by other means Extending the equality to a different setting, namely that of positive characteristic, enables the various families of equations to be resolved in that circumstance Finally, by applying the inequality in a different manner, simple bounds are determined on their solutions in rational functions of the general superelliptic equation This book represents a self contained account of a new approach to the subject, and one which plainly has not reached the full extent of its application It also provides a direct on the problems than any previous book Little expert knowledge is required to follow the theory presented, and it will appeal to professional mathematicians, research students and the enthusiastic undergraduate.

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      239 Stephen Curry John Weiss R.C. Mason
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      Posted by:Stephen Curry John Weiss R.C. Mason
      Published :2019-03-08T10:43:28+00:00

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