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| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
250306b xxu||||| |||| 00| 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9783319924137 |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Classification number |
511.3 |
| Item number |
MOE |
| 100 ## - MAIN ENTRY--PERSONAL NAME |
|---|
| Personal name |
Moerdijk, Ieke |
| 245 ## - TITLE STATEMENT |
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| Title |
Sets, models and proofs |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
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| Name of publisher, distributor, etc |
Springer, |
| Date of publication, distribution, etc |
2018 |
| Place of publication, distribution, etc |
Cham : |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Extent |
xiv, 141 p. ; |
| Other physical details |
ill., (b & w), |
| Dimensions |
24 cm |
| 365 ## - TRADE PRICE |
|---|
| Price amount |
32.99 |
| Price type code |
€ |
| Unit of pricing |
93.20 |
| 490 ## - SERIES STATEMENT |
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| Series statement |
Springer undergraduate mathematics series |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
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| Bibliography, etc |
Includes bibliographical references and index. |
| 520 ## - SUMMARY, ETC. |
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| Summary, etc |
This textbook provides a concise and self-contained introduction to mathematical logic, with a focus on the fundamental topics in first-order logic and model theory. Including examples from several areas of mathematics (algebra, linear algebra and analysis), the book illustrates the relevance and usefulness of logic in the study of these subject areas. The authors start with an exposition of set theory and the axiom of choice as used in everyday mathematics. Proceeding at a gentle pace, they go on to present some of the first important results in model theory, followed by a careful exposition of Gentzen-style natural deduction and a detailed proof of Gödel’s completeness theorem for first-order logic. The book then explores the formal axiom system of Zermelo and Fraenkel before concluding with an extensive list of suggestions for further study. The present volume is primarily aimed at mathematics students who are already familiar with basic analysis, algebra and linear algebra. It contains numerous exercises of varying difficulty and can be used for self-study, though it is ideally suited as a text for a one-semester university course in the second or third year. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Symbolic and mathematical |
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| Topical term or geographic name as entry element |
Axiom of Choice bi |
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| Topical term or geographic name as entry element |
Compactness Theorem |
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| Topical term or geographic name as entry element |
Continuum Hypothesis |
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| Topical term or geographic name as entry element |
FIrst-order logic |
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| Topical term or geographic name as entry element |
Injective function |
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| Topical term or geographic name as entry element |
L-formula |
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| Topical term or geographic name as entry element |
Model Theory |
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| Topical term or geographic name as entry element |
Proof tree |
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| Topical term or geographic name as entry element |
Quantifier elimination |
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| Topical term or geographic name as entry element |
Surjective function |
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| Topical term or geographic name as entry element |
Well-ordered set |
| 700 ## - ADDED ENTRY--PERSONAL NAME |
|---|
| Personal name |
Oosten, Jaap van |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
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| Source of classification or shelving scheme |
|
| Item type |
Books |