Nonstandard Methods and Applications in Mathematics

Nigel J. Cutland · Mauro Di Nasso · David A. Ross

2017년 3월 · Lecture Notes in Logic 25권 · Cambridge University Press

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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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Nigel J. Cutland is a Professor of Mathematics at the University of York where he researches logic and foundations of mathematics, stochastic analysis and nonstandard analysis and its applications.

Mauro Di Nasso is a Professor at the Università degli Studi, Pisa where he researches model theory and nonstandard analysis.

David A. Ross is a Professor at the University of Hawaii, Manoa where he researches nonstandard analysis and probability theory.