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  3. Model Theory
  • Cited by 716
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    • Publisher:
      Cambridge University Press
      Publication date:
      08 October 2009
      11 March 1993
      ISBN:
      9780511551574
      9780521304429
      9780521066365
      DOI:
      https://doi.org/10.1017/CBO9780511551574
      Dimensions:
      (234 x 156 mm)
      Weight & Pages:
      1.189kg, 788 Pages
      Dimensions:
      (235 x 155 mm)
      Weight & Pages:
      1.11kg, 788 Pages
      • Subjects:
      Mathematics (general), Mathematics, Logic, Categories and Sets
      Series:
      Encyclopedia of Mathematics and its Applications (42)
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    Subjects:
    Mathematics (general), Mathematics, Logic, Categories and Sets
    Series:
    Encyclopedia of Mathematics and its Applications (42)
    Information

    Book description

    This is an up-to-date and integrated introduction to model theory, designed to be used for graduate courses (for students who are familiar with first-order logic), and as a reference for more experienced logicians and mathematicians. Model theory is concerned with the notions of definition, interpretation and structure in a very general setting, and is applied to a wide variety of other areas such as set theory, geometry, algebra (in particular group theory), and computer science (e.g. logic programming and specification). Professor Hodges emphasises definability and methods of construction, and introduces the reader to advanced topics such as stability. He also provides the reader with much historical information and a full bibliography, enhancing the book's use as a reference.

    Reviews

    "...sets forth the basic tools that the fledgling model theorist should master....a new standard reference in this subject." J.M. Plotkin, Mathematical Reviews

    "...an important contribution to the literature...one of the few (or perhaps the only) books in print that develop the essentials of model theory in the modern style...valuable for its novel treatment and exposition of some important topics...Throughout the book, Hodges's vast knowledge of logic impresses itself on the reader. There is a beautiful variety and mix of classical and more recent techniques and ideas, especially in applications. It is a pleasure to leaf through the book..." Anand Pillay, Jrl of Symbolic Logic

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