Author : Lucian Miti Ionescu
Publisher : Lulu.com
Page : 135 pages
File Size : 41,3 MB
Release : 2007
Category : Computers
ISBN : 1425134920
Q++ is the quantum programming language of "reality design": Quantum Hardware and Quantum Software. Some non-conventional ideas are explored away from the traditional Standard Model, part of the Digital World Theory project.
Author : Edward Nelson
Publisher : Princeton University Press
Page : 199 pages
File Size : 11,74 MB
Release : 2014-07-14
Category : Mathematics
ISBN : 1400858925
This book develops arithmetic without the induction principle, working in theories that are interpretable in Raphael Robinson's theory Q. Certain inductive formulas, the bounded ones, are interpretable in Q. A mathematically strong, but logically very weak, predicative arithmetic is constructed. Originally published in 1986. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
Author : Ali Enayat
Publisher : American Mathematical Soc.
Page : 184 pages
File Size : 37,21 MB
Release : 2004
Category : Mathematics
ISBN : 0821835351
This is the proceedings of the AMS special session on nonstandard models of arithmetic and set theory held at the Joint Mathematics Meetings in Baltimore (MD). The volume opens with an essay from Haim Gaifman that probes the concept of non-standardness in mathematics and provides a fascinating mix of historical and philosophical insights into the nature of nonstandard mathematical structures. In particular, Gaifman compares and contrasts the discovery of nonstandard models with other key mathematical innovations, such as the introduction of various number systems, the modern concept of function, and non-Euclidean geometries. Other articles in the book present results related to nonstandard models in arithmetic and set theory, including a survey of known results on the Turing upper bounds of arithmetic sets and functions. The volume is suitable for graduate students and research mathematicians interested in logic, especially model theory.
Author : Abraham Robinson
Publisher : Princeton University Press
Page : 315 pages
File Size : 17,53 MB
Release : 2016-08-11
Category : Mathematics
ISBN : 1400884225
Considered by many to be Abraham Robinson's magnum opus, this book offers an explanation of the development and applications of non-standard analysis by the mathematician who founded the subject. Non-standard analysis grew out of Robinson's attempt to resolve the contradictions posed by infinitesimals within calculus. He introduced this new subject in a seminar at Princeton in 1960, and it remains as controversial today as it was then. This paperback reprint of the 1974 revised edition is indispensable reading for anyone interested in non-standard analysis. It treats in rich detail many areas of application, including topology, functions of a real variable, functions of a complex variable, and normed linear spaces, together with problems of boundary layer flow of viscous fluids and rederivations of Saint-Venant's hypothesis concerning the distribution of stresses in an elastic body.
Author : Patrick Mair
Publisher : Waxmann Verlag
Page : 168 pages
File Size : 17,20 MB
Release :
Category : Log-linear models
ISBN : 9783830966111
Log-linear models can be used to analyze the relationships among categorical variables. The nature of these relationships is described based on the interpretation. This framework includes the usual standard models, but also nonstandard and non-hierarchical models. Alexander von Eye, Michigan State University.
Author : Lev D. Beklemishev
Publisher : Elsevier
Page : 299 pages
File Size : 20,55 MB
Release : 2000-04-01
Category : Computers
ISBN : 0080954804
Contributions to Non-Standard Analysis
Author : Roman Kossak
Publisher : Clarendon Press
Page : 328 pages
File Size : 10,91 MB
Release : 2006-06-29
Category : Mathematics
ISBN : 0191524506
Aimed at graduate students and research logicians and mathematicians, this much-awaited text covers over forty years of work on relative classification theory for non-standard models of arithmetic. With graded exercises at the end of each chapter, the book covers basic isomorphism invariants: families of types realized in a model, lattices of elementary substructures and automorphism groups. Many results involve applications of the powerful technique of minimal types due to Haim Gaifman, and some of the results are classical but have never been published in a book form before.
Author : A. Hurd
Publisher : Springer
Page : 361 pages
File Size : 32,56 MB
Release : 2006-11-15
Category : Mathematics
ISBN : 3540379282
Author : Gabriel Cunningham
Publisher : American Mathematical Soc.
Page : 272 pages
File Size : 16,62 MB
Release : 2021-04-06
Category : Education
ISBN : 1470448971
The papers showcase the breadth of discrete geometry through many new methods and results in a variety of topics. Also included are survey articles on some important areas of active research. This volume is aimed at researchers in discrete and convex geometry and researchers who work with abstract polytopes or string C C-groups. It is also aimed at early career mathematicians, including graduate students and postdoctoral fellows, to give them a glimpse of the variety and beauty of these research areas. Topics covered in this volume include: the combinatorics, geometry, and symmetries of convex polytopes; tilings; discrete point sets; the combinatorics of Eulerian posets and interval posets; symmetries of surfaces and maps on surfaces; self-dual polytopes; string C C-groups; hypertopes; and graph coloring.
Author : S. Barry Cooper
Publisher : Cambridge University Press
Page : 433 pages
File Size : 45,7 MB
Release : 1999-06-17
Category : Computers
ISBN : 0521635500
Second of two volumes providing a comprehensive guide to the current state of mathematical logic.
