Saturated Model Theory (2nd Edition)

By: Gerald E Sacks

Write A Review

Hardcover | 2 October 2009 | Edition Number 2

At a Glance

Hardcover
220 Pages

Edition Type
Revised

Dimensions(cm)
22.86 x 15.24 x 1.42

Hardcover

RRP $117.99

$106.75

10%OFF

or 4 interest-free payments of $26.69 with

or

Ships in 15 to 25 business days

This book contains the material for a first course in pure model theory with applications to differentially closed fields. Topics covered in this book include saturated model criteria for model completeness and elimination of quantifiers; Morley rank and degree of element types; categoricity in power; two-cardinal theorems; existence and uniqueness of prime model extensions of substructures of models of totally transcendental theories; and homogeneity of models of 1-categorical theories.

Shipping

	Standard Shipping	Express Shipping
Metro postcodes:	$9.99	$14.95
Regional postcodes:	$9.99	$14.95
Rural postcodes:	$9.99	$14.95

Orders over $89.00 qualify for free shipping.

How to return your order

At Booktopia, we offer hassle-free returns in accordance with our returns policy. If you wish to return an item, please get in touch with Booktopia Customer Care.

Additional postage charges may be applicable.

Defective items

If there is a problem with any of the items received for your order then the Booktopia Customer Care team is ready to assist you.

For more info please visit our Help Centre.

More in Mathematical Logic

Handbook of Automated Reasoning - Rachel Phillips

$40.75

18%
OFF

The Times Ultimate Killer Su Doku Book 18

200 of the deadliest Su Doku puzzles

Paperback

RRP $19.99

$18.99

The Times Samurai Su Doku 14

100 extreme puzzles for the fearless Su Doku warrior

Paperback

RRP $24.99

$22.75

Unequal

The Maths of When Things Do and Don't Add Up

Hardcover

RRP $39.99

$31.75

21%
OFF

How to Prove It

A Structured Approach

Paperback

RRP $73.95

$70.75

Cryptocurrency Forensics and Investigation using Open Source Intelligence Techniques (OSINT) : Volume I - Prakash Prasad

$59.75

Cryptocurrency Forensics and Investigation using Open Source Intelligence Techniques (OSINT) : Volume II - Prakash Prasad

$236.99

13%
OFF

$The Math Thought Mindset : Logic, Reasoning, and Proofs - James L. Burk$

$29.99

29%
OFF

Introduction to Mathematical Logic

Discrete Mathematics and Its Applications

Paperback

RRP $126.00

$79.99

37%
OFF

Introduction to Modern Cryptography

Revised Third Edition

Hardcover

RRP $252.00

$148.99

41%
OFF

$39.75

Unequal

The Maths of When Things Do and Don't Add Up

Paperback

RRP $29.99

$29.75

Introduction	p. 1
Ordinals and Diagrams	p. 5
Similarity Types of Structures	p. 7
Monomorphisms and Substructures	p. 9
First Order Languages	p. 11
Elementary Equivalence	p. 14
Elementary Monomorphisms	p. 16
The Fundamental Existence Theorem	p. 18
Model Completeness	p. 24
Model Completeness of Algebraically Closed Fields	p. 28
Direct Systems of Structures	p. 32
Skolemization of Structures	p. 37
Model Completions	p. 39
Substructure Completeness	p. 43
Countability Proviso with Exceptions	p. 47
Element Types	p. 48
Saturated Structures	p. 51
Elimination of Quantifiers for Real Closed Fields	p. 58
Omitting a Type	p. 64
?-Stable Theories	p. 69
Homogeneous Structures	p. 72
The Number of Countable Models	p. 77
Vaught's Two-Cardinal Theorem	p. 82
Chang's Two-Cardinal Theorem	p. 87
Keisler's Two-Cardinal Theorem	p. 93
Categories and Functors	p. 101
Inverse Systems of Compact Hausdorff Spaces	p. 104
Towards Morley's Analysis of l-Types	p. 106
The Cantor-Bendixson Derivative	p. 109
The Morley Derivative	p. 112
Autonomous Subcategories	p. 117
Bounds on the Ranks of 1-Types	p. 121
Prime Model Extensions	p. 127
Prime Extensions of Wellordered Chains	p. 135
Order Indiscernibles	p. 138
Indiscernibles and ?-Stability	p. 143
Shelah's Uniqueness Theorem	p. 153
Categoricity in Some Uncountable Power	p. 160
Minimal Generators and ?₁-Categoricity	p. 164
The Baldwin-Lachlan Theorem	p. 172
Differential Fields of Characteristic 0	p. 185
The Differential Closure	p. 191
Some Other Reading	p. 195
References	p. 199
Notation Index	p. 201
Index	p. 205
Table of Contents provided by Ingram. All Rights Reserved.

Saturated Model Theory (2nd Edition)

At a Glance

Hardcover

Shipping

How to return your order

Defective items

You Can Find This Book In

More in Mathematical Logic

Handbook of Automated Reasoning

Current Trends in Automated Theorem Proving

Current Trends in Automated Reasoning

The Language of Mathematics

The Stories behind the Symbols

The Times Ultimate Killer Su Doku Book 18

200 of the deadliest Su Doku puzzles

The Times Samurai Su Doku 14

100 extreme puzzles for the fearless Su Doku warrior

Unequal

The Maths of When Things Do and Don't Add Up

How to Prove It

A Structured Approach

Cryptocurrency Forensics and Investigation using Open Source Intelligence Techniques (OSINT)

Volume I

AK Peters/CRC Recreational Mathematics

60 Years of Mathematical Puzzles in Parabola

Cryptocurrency Forensics and Investigation using Open Source Intelligence Techniques (OSINT)

Volume II

New Trends in Blockchain

The Math Thought Mindset

Logic, Reasoning, and Proofs

Logic For Dummies

For Dummies

Introduction to Mathematical Logic

Discrete Mathematics and Its Applications

Introduction to Modern Cryptography

Revised Third Edition

Cryptocurrency Forensics and Investigation using Open Source Intelligence Techniques (OSINT)

Volume I

Cryptocurrency Forensics and Investigation using Open Source Intelligence Techniques (OSINT)

Volume II

Why Don't Rabbits Rule The World?

Mathematical answers to life's key questions

Unequal

The Maths of When Things Do and Don't Add Up

Axiomatic Set Theory

An Introduction

Subquasivariety lattices in languages with equality

SpringerBriefs in Mathematics

New Articulations of the Theory of Oppositions

Seventh World Congress on the Square of Opposition

Topology, Algebra and Categories in Logic

Lecture Notes of the Coimbra TACL Summer School, 14â"18 June 2022

This product is categorised by