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  • © 2003

A Guide to Classical and Modern Model Theory

Part of the book series: Trends in Logic (TREN, volume 19)

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Table of contents (9 chapters)

  1. Front Matter

    Pages i-xi
  2. Structures

    • Annalisa Marcja, Carlo Toffalori
    Pages 1-42
  3. Quantifier Elimination

    • Annalisa Marcja, Carlo Toffalori
    Pages 43-83
  4. Model Completeness

    • Annalisa Marcja, Carlo Toffalori
    Pages 85-119
  5. Elimination of imaginaries

    • Annalisa Marcja, Carlo Toffalori
    Pages 121-132
  6. Morley rank

    • Annalisa Marcja, Carlo Toffalori
    Pages 133-180
  7. ω -stability

    • Annalisa Marcja, Carlo Toffalori
    Pages 181-220
  8. Classifying

    • Annalisa Marcja, Carlo Toffalori
    Pages 221-290
  9. Model Theory and Algebraic Geometry

    • Annalisa Marcja, Carlo Toffalori
    Pages 291-311
  10. O-minimality

    • Annalisa Marcja, Carlo Toffalori
    Pages 313-349
  11. Back Matter

    Pages 351-369

About this book

Since its birth, Model Theory has been developing a number of methods and concepts that have their intrinsic relevance, but also provide fruitful and notable applications in various fields of Mathematics. It is a lively and fertile research area which deserves the attention of the mathematical world.

This volume:
-is easily accessible to young people and mathematicians unfamiliar with logic;
-gives a terse historical picture of Model Theory;
-introduces the latest developments in the area;
-provides 'hands-on' proofs of elimination of quantifiers, elimination of imaginaries and other relevant matters.

A Guide to Classical and Modern Model Theory is for trainees and professional model theorists, mathematicians working in Algebra and Geometry and young people with a basic knowledge of logic.

Authors and Affiliations

  • University of Florence, Italy

    Annalisa Marcja

  • University of Camerino, Italy

    Carlo Toffalori

Bibliographic Information

  • Book Title: A Guide to Classical and Modern Model Theory

  • Authors: Annalisa Marcja, Carlo Toffalori

  • Series Title: Trends in Logic

  • DOI: https://doi.org/10.1007/978-94-007-0812-9

  • Publisher: Springer Dordrecht

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media New York 2003

  • Softcover ISBN: 978-1-4020-1331-7Published: 30 June 2003

  • eBook ISBN: 978-94-007-0812-9Published: 10 September 2012

  • Series ISSN: 1572-6126

  • Series E-ISSN: 2212-7313

  • Edition Number: 1

  • Number of Pages: XI, 371

  • Topics: Logic, Mathematical Logic and Foundations, Algebra

Buy it now

Buying options

eBook USD 99.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 129.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access