β Scribed by Nigel J. Cutland; Mauro Di Nasso; David A Ross
No coin nor oath required. For personal study only.
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.
Contents
Preface
FOUNDATIONS
The eightfold path to nonstandard analysis
Neoclosed forcing
Nonstandard objects in set theory
PURE MATHEMATICS
The microscopic behavior of measurable functions
Nonstandard measure constructions β solutions and problems
Inverse problem for upper asymptotic density II
Nonstandard analysis and cohomology
APPLIED MATHEMATICS
Loeb space methods for stochastic Navier-Stokes equations
Discrete approximation of compact operators and approximation of their spectra
TEACHING
Nonstandard analysis at pre-university level: Naive magnitude analysis
π SIMILAR VOLUMES
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 Lectu
A conference on Nonstandard Methods and Applications in Mathematics (NS2002) was held in Pisa, Italy from June 12-16, 2002. Nonstandard analysis is one of the great achievements of modern applied mathematical logic. In addition to the important philosophical achievement of providing a sound mathemat
<span>The Bulletin of the American Mathematical Society acclaimed this text as "a welcome addition" to the literature of nonstandard analysis, a field related to number theory, algebra, and topology. The first half presents a self-contained introduction to the subject, and the second part explores a
The <I>Bulletin of the American Mathematical Society</I> acclaimed this text as "a welcome addition" to the literature of nonstandard analysis, a field related toΒ number theory, algebra, and topology. The first half presents aΒ self-contained introduction to the subject, and the second part exploresΒ