| 000 | 02758nam a22004575i 4500 | ||
|---|---|---|---|
| 001 | 978-1-4471-2176-3 | ||
| 003 | DE-He213 | ||
| 005 | 20140220083731.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 110822s2011 xxk| s |||| 0|eng d | ||
| 020 |
_a9781447121763 _9978-1-4471-2176-3 |
||
| 024 | 7 |
_a10.1007/978-1-4471-2176-3 _2doi |
|
| 050 | 4 | _aQA1-939 | |
| 072 | 7 |
_aPB _2bicssc |
|
| 072 | 7 |
_aMAT000000 _2bisacsh |
|
| 082 | 0 | 4 |
_a510 _223 |
| 100 | 1 |
_aPrestel, Alexander. _eauthor. |
|
| 245 | 1 | 0 |
_aMathematical Logic and Model Theory _h[electronic resource] : _bA Brief Introduction / _cby Alexander Prestel, Charles N. Delzell. |
| 264 | 1 |
_aLondon : _bSpringer London, _c2011. |
|
| 300 |
_aX, 194 p. _bonline resource. |
||
| 336 |
_atext _btxt _2rdacontent |
||
| 337 |
_acomputer _bc _2rdamedia |
||
| 338 |
_aonline resource _bcr _2rdacarrier |
||
| 347 |
_atext file _bPDF _2rda |
||
| 490 | 1 |
_aUniversitext, _x0172-5939 |
|
| 505 | 0 | _aFirst-Order Logic -- Model Constructions -- Properties of Model Classes -- Model Theory of Several Algebraic Theories. | |
| 520 | _aMathematical Logic and Model Theory: A Brief Introduction offers a streamlined yet easy-to-read introduction to mathematical logic and basic model theory. It presents, in a self-contained manner, the essential aspects of model theory needed to understand model theoretic algebra. As a profound application of model theory in algebra, the last part of this book develops a complete proof of Ax and Kochen's work on Artin's conjecture about Diophantine properties of p-adic number fields. The character of model theoretic constructions and results differs significantly from that commonly found in algebra, by the treatment of formulae as mathematical objects. It is therefore indispensable to first become familiar with the problems and methods of mathematical logic. Therefore, the text is divided into three parts: an introduction into mathematical logic (Chapter 1), model theory (Chapters 2 and 3), and the model theoretic treatment of several algebraic theories (Chapter 4). This book will be of interest to both advanced undergraduate and graduate students studying model theory and its applications to algebra. It may also be used for self-study. | ||
| 650 | 0 | _aMathematics. | |
| 650 | 0 | _aComputer science. | |
| 650 | 1 | 4 | _aMathematics. |
| 650 | 2 | 4 | _aMathematics, general. |
| 650 | 2 | 4 | _aMathematical Logic and Formal Languages. |
| 700 | 1 |
_aDelzell, Charles N. _eauthor. |
|
| 710 | 2 | _aSpringerLink (Online service) | |
| 773 | 0 | _tSpringer eBooks | |
| 776 | 0 | 8 |
_iPrinted edition: _z9781447121756 |
| 830 | 0 |
_aUniversitext, _x0172-5939 |
|
| 856 | 4 | 0 | _uhttp://dx.doi.org/10.1007/978-1-4471-2176-3 |
| 912 | _aZDB-2-SMA | ||
| 999 |
_c106175 _d106175 |
||