Nonstandard Methods and Applications in Mathematics

Released on by Nigel J. Cutland
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  • Nonstandard Methods and Applications in Mathematics Book Detail

  • Author : Nigel J. Cutland
  • Release Date : 2017-03-30
  • Publisher : Cambridge University Press
  • Genre : Mathematics
  • Pages : 248
  • ISBN 13 : 1108621295
  • File Size : 69,69 MB
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Nonstandard Methods and Applications in Mathematics by Nigel J. Cutland PDF Summary

Book Description: Since their inception, the Perspectives in Logic and Lecture Notes in Logic series have published seminal works by leading logicians. Many of the original books in the series have been unavailable for years, but they are now in print once again. This volume, the twenty-fifth publication in the Lecture Notes in Logic series, grew from a conference on Nonstandard Methods and Applications in Mathematics held in Pisa, Italy from 12–16 June, 2002. It contains ten peer-reviewed papers that aim to provide something more timely than a textbook, but less ephemeral than a conventional proceedings. Nonstandard analysis is one of the great achievements of modern applied mathematical logic. These articles consider the foundations of the subject, as well as its applications to pure and applied mathematics and mathematics education.

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In the early 1960s, by using techniques from the model theory of first-order logic, Robinson gave a rigorous formulation and extension of Leibniz'' infinitesima