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**APA Citation**

Srivastava, S. M.
(2013)
*A course on mathematical logic*New York, NY : Springer,

**MLA Citation**

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# A course on mathematical logic [electronic resource] /

### Shashi Mohan Srivastava.

Main Author: | Srivastava, S. M. |
---|---|

Published: | New York, NY : Springer, c2013. |

Edition: | 2nd ed. |

Series: |
Universitext. |

Topics: | Logic, Symbolic and mathematical. |

Genres: | Electronic books. |

Online Access: |
SpringerLink (Opens in a new window) Link to A course on mathematical logic (access limited to Benedictine University patrons) |

Tags: | Add |

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020 | |a9781461457466 (electronic bk.) |

020 | |a1461457467 (electronic bk.) |

020 | |z9781461457459 |

035 | |a(OCoLC)ocn826636509 |

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049 | |aILLA |

050 | 4|aQA9|b.S65 2013 |

082 | 04|a511.3|223 |

100 | 1 |aSrivastava, S. M.|q(Shashi Mohan) |

245 | 12|aA course on mathematical logic|h[electronic resource] /|cShashi Mohan Srivastava. |

250 | |a2nd ed. |

260 | |aNew York, NY :|bSpringer,|cc2013. |

300 | |a1 online resource. |

490 | 1 |aUniversitext,|x0172-5939 |

504 | |aIncludes bibliographical references and index. |

505 | 00|tSyntax of First-Order Logic --|tSemantics of First-Order Languages --|tPropositional Logic --|tCompleteness Theorem for First-Order Logic --|tModel Theory --|tRecursive Functions and Arithmetization of Theories --|tRepresentability and Incompleteness Theorems. |

520 | |aThis is a short, modern, and motivated introduction to mathematical logic for upper undergraduate and beginning graduate students in mathematics and computer science. Any mathematician who is interested in getting acquainted with logic and would like to learn GĂ¶del's incompleteness theorems should find this book particularly useful. The treatment is thoroughly mathematical and prepares students to branch out in several areas of mathematics related to foundations and computability, such as logic, axiomatic set theory, model theory, recursion theory, and computability. In this new edition, many small and large changes have been made throughout the text. The main purpose of this new edition is to provide a healthy first introduction to model theory, which is a very important branch of logic. Topics in the new chapter include ultraproduct of models, elimination of quantifiers, types, applications of types to model theory, and applications to algebra, number theory and geometry. Some proofs, such as the proof of the very important completeness theorem, have been completely rewritten in a more clear and concise manner. The new edition also introduces new topics, such as the notion of elementary class of structures, elementary diagrams, partial elementary maps, homogeneous structures, definability, and many more. Review from the first edition:"All results included in the book are very carefully selected and proved. The author's manner of writing is excellent, which will surely make this book useful to many categories of readers." --Marius Tarnauceanu, Zentralblatt MATH |

650 | 0|aLogic, Symbolic and mathematical. |

653 | 4|aMathematics. |

653 | 4|aComputer science. |

653 | 4|aAlgebra. |

653 | 4|aLogic, Symbolic and mathematical. |

655 | 0|aElectronic books. |

830 | 0|aUniversitext. |

852 | 80|beitem|hSpringer|t1 |

856 | 40|3SpringerLink|uhttp://libweb.ben.edu/login?source=opac&url=http://dx.doi.org/10.1007/978-1-4614-5746-6|yLink to A course on mathematical logic|z(access limited to Benedictine University patrons) |

938 | |aYBP Library Services|bYANK|n9987446 |

994 | |a92|bILL |