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Models and Ultraproducts: An Introduction (Dover Books on Mathematics)
US $31.33
ApproximatelyPHP 1,741.85
Condition:
Very Good
A book that has been read but is in excellent condition. No obvious damage to the cover, with the dust jacket included for hard covers. No missing or damaged pages, no creases or tears, and no underlining/highlighting of text or writing in the margins. May be very minimal identifying marks on the inside cover. Very minimal wear and tear.
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eBay item number:126907435946
Item specifics
- Condition
- Release Year
- 2006
- Book Title
- Models and Ultraproducts: An Introduction (Dover Books on Math...
- ISBN
- 9780486449791
About this product
Product Identifiers
Publisher
Dover Publications, Incorporated
ISBN-10
0486449793
ISBN-13
9780486449791
eBay Product ID (ePID)
51080903
Product Key Features
Number of Pages
336 Pages
Language
English
Publication Name
Models and Ultra Products : an Introduction
Subject
Logic
Publication Year
2006
Type
Textbook
Subject Area
Mathematics
Series
Dover Books on Mathematics Ser.
Format
Perfect
Dimensions
Item Height
0.7 in
Item Weight
12.2 Oz
Item Length
8.5 in
Item Width
6.7 in
Additional Product Features
Intended Audience
College Audience
LCCN
2006-040315
Dewey Edition
18
Illustrated
Yes
Dewey Decimal
511/.8
Table Of Content
Introduction0. Prerequisites1. Boolean Algebras2. Propositional Calculus3. Predicate Calculus4. Beginning Model Theory5. Introducing Ultraproducts6. Set Theoretic Properties of Ultraproducts7. Elementary Classes8. Ultralimits9. Completeness and Model Completeness10. Homogeneous and Universal Structures11. Saturated Models12. Applications of Ultraproducts13. Generalized Quantifiers14. Infinitary LanguagesSome Suggestions for Further ReadingBibliographyIndex of Named TheoremsGeneral Index
Synopsis
This first-year graduate text assumes only an acquaintance with set theory to explore homogeneous universal models, saturated structure, extensions of classical first-order logic, and other topics. 1974 edition., In this text for first-year graduate students, the authors provide an elementary exposition of some of the basic concepts of model theory--focusing particularly on the ultraproduct construction and the areas in which it is most useful. The book, which assumes only that its readers are acquainted with the rudiments of set theory, starts by developing the notions of Boolean algebra, propositional calculus, and predicate calculus. Model theory proper begins in the fourth chapter, followed by an introduction to ultraproduct construction, which includes a detailed look at its theoretic properties. An overview of elementary equivalence provides algebraic descriptions of the elementary classes. Discussions of completeness follow, along with surveys of the work of J nsson and of Morley and Vaught on homogeneous universal models, and the results of Keisler in connection with the notion of a saturated structure. Additional topics include classical results of G del and Skolem, and extensions of classical first-order logic in terms of generalized quantifiers and infinitary languages. Numerous exercises appear throughout the text., Geared toward 1st-year graduate students, this text assumes only an acquaintance with the rudiments of set theory to explore homogeneous universal models, saturated structure, extensions of classical first-order logic in terms of generalized quantifiers and infinitary languages, and other topics. Numerous exercises appear throughout the text. 1974 edition., Geared toward first-year graduate students, this text assumes only an acquaintance with the rudiments of set theory to explore homogeneous universal models, saturated structure, extensions of classical first-order logic in terms of generalized quantifiers and infinitary languages, and other topics. Numerous exercises appear throughout the text. 1974 edition.
LC Classification Number
QA9.7.B44 2006
Item description from the seller
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Seller feedback (175,523)
- y***h (197)- Feedback left by buyer.Past monthVerified purchaseThanks for book in great condition
- d***w (6138)- Feedback left by buyer.Past monthVerified purchaseThank you for Book.
- o***s (2803)- Feedback left by buyer.Past monthVerified purchaseGreat Book! Great Seller!