Items related to Introduction to Model Theory (Algebra, Logic and Application...
Synopsis
Model theory investigates mathematical structures by means of formal languages. So-called first-order languages have proved particularly useful in this respect.
This text introduces the model theory of first-order logic, avoiding syntactical issues not too relevant to model theory. In this spirit, the compactness theorem is proved via the algebraically useful ultrsproduct technique (rather than via the completeness theorem of first-order logic). This leads fairly quickly to algebraic applications, like Malcev's local theorems of group theory and, after a little more preparation, to Hilbert's Nullstellensatz of field theory.
Steinitz dimension theory for field extensions is obtained as a special case of a much more general model-theoretic treatment of strongly minimal theories. There is a final chapter on the models of the first-order theory of the integers as an abelian group. Both these topics appear here for the first time in a textbook at the introductory level, and are used to give hints to further reading and to recent developments in the field, such as stability (or classification) theory.
"synopsis" may belong to another edition of this title.
About the Author
Rothmaler, Philipp
"About this title" may belong to another edition of this title.
Search results for Introduction to Model Theory (Algebra, Logic and Application...
Seller Image
Introduction to Model Theory
Seller: GreatBookPrices, Columbia, MD, U.S.A.
Seller rating 5 out of 5 stars
Condition: New. Seller Inventory # 926429-n
Quantity: 10 available
Stock Image
Introduction to Model Theory (Algebra, Logic and Applications Volume 15)
Seller: Lucky's Textbooks, Dallas, TX, U.S.A.
Seller rating 5 out of 5 stars
Condition: New. Seller Inventory # ABLIING23Apr0316110340206
Quantity: Over 20 available
Stock Image
Introduction to Model Theory (Algebra, Logic and Applications Volume 15)
Seller: California Books, Miami, FL, U.S.A.
Seller rating 5 out of 5 stars
Condition: New. Seller Inventory # I-9789056993139
Quantity: Over 20 available
Stock Image
Introduction to Model Theory
Print on DemandSeller: Majestic Books, Hounslow, United Kingdom
Seller rating 5 out of 5 stars
Condition: New. pp. 324 This item is printed on demand. Seller Inventory # 5707598
Quantity: 3 available
Stock Image
Introduction to Model Theory
Print on DemandSeller: PBShop.store US, Wood Dale, IL, U.S.A.
Seller rating 5 out of 5 stars
PAP. Condition: New. New Book. Shipped from UK. THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Seller Inventory # IQ-9789056993139
Quantity: 15 available
Stock Image
Introduction to Model Theory
Seller: Books Puddle, New York, NY, U.S.A.
Seller rating 4 out of 5 stars
Condition: New. pp. 324 1st Edition. Seller Inventory # 262140305
Quantity: 3 available
Seller Image
Introduction to Model Theory
Seller: GreatBookPrices, Columbia, MD, U.S.A.
Seller rating 5 out of 5 stars
Condition: As New. Unread book in perfect condition. Seller Inventory # 926429
Quantity: 10 available
Stock Image
Introduction to Model Theory
Print on DemandSeller: PBShop.store UK, Fairford, GLOS, United Kingdom
Seller rating 5 out of 5 stars
PAP. Condition: New. New Book. Delivered from our UK warehouse in 4 to 14 business days. THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Seller Inventory # IQ-9789056993139
Quantity: 15 available
Stock Image
Introduction to Model Theory (Algebra, Logic and Applications Volume 15)
Seller: Ria Christie Collections, Uxbridge, United Kingdom
Seller rating 5 out of 5 stars
Condition: New. In. Seller Inventory # ria9789056993139_new
Quantity: Over 20 available
Seller Image
Introduction to Model Theory
Seller: GreatBookPricesUK, Woodford Green, United Kingdom
Seller rating 5 out of 5 stars
Condition: New. Seller Inventory # 926429-n
Quantity: 10 available