Mathematical Logic (Record no. 59372)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 01822 a2200181 4500 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 230517b |||||||| |||| 00| 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| ISBN | 9780198500506 (PB) |
| 041 ## - LANGUAGE CODE | |
| Language code of text/sound track or separate title | eng |
| 080 ## - UNIVERSAL DECIMAL CLASSIFICATION NUMBER | |
| Universal Decimal Classification number | 517.9 |
| Item number | COR |
| 245 ## - TITLE STATEMENT | |
| Title | Mathematical Logic |
| Sub Title | A Course With Exercises, Part II Recursion theory, Godel's theorems, set theory, model theory |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Place of publication | Oxford |
| Name of publisher | Oxford University Press |
| Year of publication | 2001 |
| 300 ## - PHYSICAL DESCRIPTION | |
| Number of Pages | xx, 331 p |
| 505 ## - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Introduction ; 5. Recursion theory ; 5.1 Primitive recursive functions and sets ; 5.2 Recursive functions ; 5.3 Turing machines ; 5.4 Recursively enumerable sets ; 5.5 Exercises for Chapter 5 ; 6. Formalization of arithmetic, Godel's theorems ; 6.1 Peano's axioms ; 6.2 Representable functions ; 6.3 Arithmetization of syntax ; 6.4 Incompleteness and undecidability theorem ; 7. Set theory ; 7.1 The theories Z and ZF ; 7.2 Ordinal numbers and integers ; 7.3 Inductive proofs and definitions ; 7.4 Cardinality ; 7.5 The axiom of foundation and the reflections schemes ; 7.6 Exercises for Chapter 7 ; 8. Some model theory ; 8.1 Elementary substructures and extensions ; 8.2 Construction of elementary extensions ; 8.3 The interpolation and definability theorems ; 8.4 Reduced products and ultraproducts ; 8.5 Preservations theorems ; 8.6 -categorical theories ; 8.7 Exercises for Chapter 8 ; Solutions to the exercises of Part II ; Chapter 5 ; Chapter 6 ; Chapter 7 ; Chapter 8 ; Bibliography ; Index |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | The requirement to reason logically forms the basis of all mathematics, and hence mathematical logic is one of the most fundamental topics that students will study. Assuming no prior knowledge of the topic, this book provides an accessible introduction for advanced undergraduate students. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Logic, Symbolic and mathematical |
| 690 ## - LOCAL SUBJECT ADDED ENTRY--TOPICAL TERM (OCLC, RLIN) | |
| Topical term or geographic name as entry element | Mathematics |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | BOOKS |
| Withdrawn status | Lost status | Damaged status | Not for loan | Current library | Shelving location | Full call number | Accession Number | Koha item type |
|---|---|---|---|---|---|---|---|---|
| IMSc Library | First Floor, Rack No: 33, Shelf No: 20 | 517.9 COR | 77272 | BOOKS |