A Course in Model Theory: An Introduction to Contemporary Mathematical Logic / Edition 1

Hardcover (Print)
Buy New
Buy New from BN.com
$67.26
(Save 15%)
Used and New from Other Sellers
Used and New from Other Sellers
from $64.59
Usually ships in 1-2 business days
(Save 19%)
Other sellers (Hardcover)
  • All (7) from $64.59   
  • New (5) from $64.59   
  • Used (2) from $80.75   

More About This Textbook

Overview

Translated from the French, this book is an introduction to first-order model theory. Starting from scratch, it quickly reaches the essentials, namely, the back-and-forth method and compactness, which are illustrated with examples taken from algebra. It also introduces logic via the study of the models of arithmetic, and it gives complete but accessible exposition of stability theory.

Read More Show Less

Product Details

  • ISBN-13: 9780387986555
  • Publisher: Springer-Verlag New York, LLC
  • Publication date: 5/25/2000
  • Series: Universitext Series
  • Edition description: 2000
  • Edition number: 1
  • Pages: 474
  • Product dimensions: 1.06 (w) x 6.14 (h) x 9.21 (d)

Table of Contents

Preface to the English Edition
Introduction
1 Elementary Classes of Relations 1
2 The Language Associated with a Relation 15
3 Extensions of the Language: Structures 31
4 Compactness 38
5 The Back-and-Forth Method in [omega]-Saturated Models 55
6 Examples Illustrating the Back-and-Forth Method 64
7 Arithmetic 108
8 Ordinals and Cardinals 160
9 Saturated Models 181
10 Prime Models 204
11 Heirs 225
12 Special Sons, Morley Sequences 239
13 The Fundamental Order 277
14 Stability and Saturated Models 290
15 Forking 299
16 Strong Types 309
17 Notions of Rank 332
18 Stability and Prime Models 351
19 Stability, Indiscernible Sequences and Weights 374
20 Dimension in Models of a Totally Transcendental Theory 393
Bibliography 419
Index of Notion 429
Index 433
Read More Show Less

Customer Reviews

Be the first to write a review
( 0 )
Rating Distribution

5 Star

(0)

4 Star

(0)

3 Star

(0)

2 Star

(0)

1 Star

(0)

Your Rating:

Review Guidelines
Add Recommendations
Your Name: Create a Pen Name or

Barnes & Noble.com Review Rules

Our reader reviews allow you to share your comments on titles you liked, or didn't, with others. By submitting an online review, you are representing to Barnes & Noble.com that all information contained in your review is original and accurate in all respects, and that the submission of such content by you and the posting of such content by Barnes & Noble.com does not and will not violate the rights of any third party. Please follow the rules below to help ensure that your review can be posted.

Reviews by Our Customers Under the Age of 13

We highly value and respect everyone's opinion concerning the titles we offer. However, we cannot allow persons under the age of 13 to have accounts at BN.com or to post customer reviews. Please see our Terms of Use for more details.

What to exclude from your review:

Please do not write about reviews, commentary, or information posted on the product page. If you see any errors in the information on the product page, please send us an email.

Reviews should not contain any of the following:

  • - HTML tags, profanity, obscenities, vulgarities, or comments that defame anyone
  • - Time-sensitive information such as tour dates, signings, lectures, etc.
  • - Single-word reviews. Other people will read your review to discover why you liked or didn't like the title. Be descriptive.
  • - Comments focusing on the author or that may ruin the ending for others
  • - Phone numbers, addresses, URLs
  • - Pricing and availability information or alternative ordering information
  • - Advertisements or commercial solicitation

Reminder:

  • - By submitting a review, you grant to Barnes & Noble.com and its sublicensees the royalty-free, perpetual, irrevocable right and license to use the review in accordance with the Barnes & Noble.com Terms of Use.
  • - Barnes & Noble.com reserves the right not to post any review -- particularly those that do not follow the terms and conditions of these Rules. Barnes & Noble.com also reserves the right to remove any review at any time without notice.
  • - See Terms of Use for other conditions and disclaimers.
Search for Products You'd Like to Recommend

Recommend other products that relate to your review. Just search for them below and share!

Create a Pen Name

Your Pen Name is your unique identity on BN.com. It will appear on the reviews you write and other website activities. Your Pen Name cannot be edited, changed or deleted once submitted.

 
Your Pen Name can be any combination of alphanumeric characters (plus - and _), and must be at least two characters long.

Continue Anonymously
    If you find inappropriate content, please report it to Barnes & Noble
    Why is this product inappropriate?
    Comments (optional)