000			03713nam a22003855i 4500
001			278191
003			MX-SnUAN
005			20160429153853.0
007			cr nn 008mamaa
008			150903s2006 xxu| o |||| 0|eng d
020			_a9780387342412 _99780387342412
024	7		_a10.1007/0387342419 _2doi
035			_avtls000331152
039		9	_a201509030713 _bVLOAD _c201404120612 _dVLOAD _c201404090352 _dVLOAD _c201401311404 _dstaff _y201401301203 _zstaff
040			_aMX-SnUAN _bspa _cMX-SnUAN _erda
050		4	_aQA8.9-10.3
100	1		_aRautenberg, Wolfgang. _eautor _9301619
245	1	2	_aA Concise Introduction to Mathematical Logic / _cby Wolfgang Rautenberg.
250			_a2.
264		1	_aNew York, NY : _bSpringer New York, _c2006.
300			_axvii, 256 páginas, _brecurso en línea.
336			_atexto _btxt _2rdacontent
337			_acomputadora _bc _2rdamedia
338			_arecurso en línea _bcr _2rdacarrier
347			_aarchivo de texto _bPDF _2rda
490	0		_aUniversitext
500			_aSpringer eBooks
505	0		_aPropositional 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.
520			_aTraditional 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 concise."
590			_aPara consulta fuera de la UANL se requiere clave de acceso remoto.
710	2		_aSpringerLink (Servicio en línea) _9299170
776	0	8	_iEdición impresa: _z9780387302942
856	4	0	_uhttp://remoto.dgb.uanl.mx/login?url=http://dx.doi.org/10.1007/0-387-34241-9 _zConectar a Springer E-Books (Para consulta externa se requiere previa autentificación en Biblioteca Digital UANL)
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999			_c278191 _d278191