rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    non sort: A
    title: Concise Introduction to Mathematical Logic
  name:
    name part: Rautenberg, Wolfgang.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: xxu
    date issued: 2006
    edition: 2.
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XVIII, 256 p. 8 illus. online resource.
  abstract: Traditional logic as a part of philosophy is one of the oldest scientific disciplines. Mathematical logic, however, is a relatively young discipline and arose from the endeavors of Peano, Frege, Russell and others to create a logistic foundation for mathematics. It steadily developed during the 20th century into a broad discipline with several sub-areas and numerous applications in mathematics, informatics, linguistics and philosophy. While there are already several well-known textbooks on mathematical logic, this book is unique in that it is more concise than most others; the material is treated in a streamlined fashion. This allows the lecturer to select the material for a one-semester course on a topic more easily. Although the book is intended for use as a graduate text, the first three chapters could be understood by undergraduates interested in mathematical logic. These initial chapters cover just the material for an introductory course on mathematical logic combined with the necessary material from set theory. Chapter 3 is partly of a descriptive nature, providing a view towards decision problems, automated theorem proving, non-standard models and related subjects. The other chapters contain material on logic programming for computer scientists, model theory, recursion theory, Gödel's Incompleteness Theorems, and applications of mathematical logic. Philosophical and foundational problems of mathematics are discussed where appropriate. The author has provided exercises for each section, as well as hints or even complete solutions to most exercises at the end of the book. From the foreword, written by Lev Beklemishev: "…a well-written introduction to this beautiful and coherent subject. It contains classical material such as logical calculi, beginnings of model theory, and Gödel’s incompleteness theorems, as well as some topics motivated by applications, such as a chapter on logic programming. The author has taken great care to make the exposition readable and …
  table of contents: Propositional Logic -- Predicate Logic -- Gödel’s Completeness Theorem -- The Foundations of Logic Programming -- Elements of Model Theory -- Incompleteness and Undecidability -- On the Theory of Self-Reference.
  note: by Wolfgang Rautenberg.
  subject:
    topic: Mathematics
  subject:
    topic: Applied mathematics
  subject:
    topic: Engineering mathematics
  subject:
    topic: Computer mathematics
  subject:
    topic: Mathematical logic
  subject:
    topic: Mathematics
  subject:
    topic: Applications of Mathematics
  subject:
    topic: Mathematical Logic and Foundations
  subject:
    topic: Computational Science and Engineering
  classification: T57-57.97
  classification: 519
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Universitext
  identifier: 9780387342412
  identifier: http://dx.doi.org/10.1007/0-387-34241-9
  record info:
    record creation date: 100301
    record change date: 20151204182142.0
    record identifier: 978-0-387-34241-2