A Guide To Nip Theories
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A Guide to NIP Theories
Author: Pierre Simon
language: en
Publisher: Cambridge University Press
Release Date: 2015-07-16
The first book to introduce the rapidly developing subject of NIP theories, for students and researchers in model theory.
The Complete Idiot's Guide to String Theory
We’re living in the midst of a scientific revolution that’s captured the general public’s attention and imagination. The aim of this new revolution is to develop a “theory of everything”—a set of laws of physics that will explain all that can be explained, ranging from the tiniest subatomic particle to the universe as a whole. Here, readers will learn the ideas behind the theories, and their effects upon our world, our civilization, and ourselves. The Complete Idiot’s Guide® String Theory explains how this exciting idea holds up against competing theories. In this Complete Idiot’s Guide®, you get: • Clear explanation of quantum mechanics, Einstein’s theories of relativity, and how string theory unites them. • A quick, easy-to-understand overview of competing theories and how they might be tested. • Fast facts about black holes, what’s inside them, how they’re made, and why they’re so paradoxical. • Simple, smart tips to help you visualize extra dimensions.
Beyond First Order Model Theory, Volume II
Model theory is the meta-mathematical study of the concept of mathematical truth. After Afred Tarski coined the term Theory of Models in the early 1950’s, it rapidly became one of the central most active branches of mathematical logic. In the last few decades, ideas that originated within model theory have provided powerful tools to solve problems in a variety of areas of classical mathematics, including algebra, combinatorics, geometry, number theory, and Banach space theory and operator theory. The two volumes of Beyond First Order Model Theory present the reader with a fairly comprehensive vista, rich in width and depth, of some of the most active areas of contemporary research in model theory beyond the realm of the classical first-order viewpoint. Each chapter is intended to serve both as an introduction to a current direction in model theory and as a presentation of results that are not available elsewhere. All the articles are written so that they can be studied independently of one another. This second volume contains introductions to real-valued logic and applications, abstract elementary classes and applications, interconnections between model theory and function spaces, nonstucture theory, and model theory of second-order logic. Features A coherent introduction to current trends in model theory. Contains articles by some of the most influential logicians of the last hundred years. No other publication brings these distinguished authors together. Suitable as a reference for advanced undergraduate, postgraduates, and researchers. Material presented in the book (e.g, abstract elementary classes, first-order logics with dependent sorts, and applications of infinitary logics in set theory) is not easily accessible in the current literature. The various chapters in the book can be studied independently.