Foundational Aspects Of Nonstandard Mathematics
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Foundational Aspects of "non"standard Mathematics
Author: David Ballard
language: en
Publisher: American Mathematical Soc.
Release Date: 1994
A philosophically provocative treatment for general mathematicians. Reformulates the model theory underlying "non" standard mathematics within point set topology and presents new proofs for the various versions. The radical aspect is the introduction of relativity into the mathematical environment. Annotation copyright by Book News, Inc., Portland, OR
Nonstandard Methods and Applications in Mathematics
Author: Nigel J. Cutland
language: en
Publisher: Cambridge University Press
Release Date: 2017-03-30
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.
Number Theory
Author: Michel Waldschmidt
language: en
Publisher: American Mathematical Soc.
Release Date: 1998
To observe the tenth anniversary of the founding of the Ramanujan Mathematical Society, an international conference on Discrete Mathematics and Number Theory was held in January 1996 in Tiruchirapalli, India. This volume contains proceedings from the number theory component of that conference. Papers are divided into four groups: arithmetic algebraic geometry, automorphic forms, elementary and analytic number theory, and transcendental number theory. This work deals with recent progress in current aspects of number theory and covers a wide variety of topics.