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Introduction to Model Theory (Algebra, Logic & Applications)
Philipp Rothmaler
€ 93.80
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Description for Introduction to Model Theory (Algebra, Logic & Applications)
Paperback. An introductory text, "Model Theory" investigates mathematical structures by means of formal languages. It avoids syntactical issues which are not too relevant to model theory. Selected exercises have hints and solutions and some reflect very recent research in the field. Translator(s): Guhl, Karsten. Num Pages: 324 pages, black & white illustrations. BIC Classification: PBCD; PBF; PBWH. Category: (UU) Undergraduate. Dimension: 229 x 152 x 18. Weight in Grams: 590.
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 ... Read more
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 ... Read more
Product Details
Publisher
Routledge
Format
Paperback
Publication date
2000
Condition
New
Weight
589 g
Number of Pages
324
Place of Publication
London, United Kingdom
ISBN
9789056993139
SKU
V9789056993139
Shipping Time
Usually ships in 4 to 8 working days
Ref
99-1
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