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020 _a9780387762777
024 7 _a10.1007/978-0-387-76277-7
_2doi
035 _a978-0-387-76277-7
072 7 _aPBC
_2bicssc
072 7 _aPBCD
_2bicssc
072 7 _aMAT018000
_2bisacsh
082 0 4 _a511.3
090 _amg
100 1 _aSrivastava, S. M
_99360
245 1 2 _aA Course on Mathematical Logic
_h[electronic resource]/
_cby S. M. Srivastava.
260 _aNew York:
_bSpringer New York,
_c2008.
300 _bdigital.
490 0 _aUniversitext
505 0 _aPreface -- Syntax of first order logic -- Semantics of first-order languages -- Propositional logic -- Proof and metatheorems in first-order logic -- Completeness theorem and model theory -- Recursive functions and arithmetization of theories -- Incompleteness theorems and recursion theory -- References -- Index .
520 _aThis is a short, distinctive, modern, and motivated introduction to mathematical logic for senior undergraduate and beginning graduate students in mathematics and computer science. Any mathematician who is interested in knowing what logic is concerned with and who would like to learn Gödel’s incompleteness theorems should find this book particularly convenient. The treatment is thoroughly mathematical, and the entire subject has been approached like a branch of mathematics. Serious efforts have been made to make the book suitable for the classroom as well as for self-reading. The book does not strive to be a comprehensive encyclopedia of logic. Still, it gives essentially all the basic concepts and results in mathematical logic. The book 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. The main prerequisite for this book is the willingness to work at a reasonable level of mathematical rigor and generality. Shashi Mohan Srivastava is a Professor at the Indian Statistical Institute, Kolkata, India. He is also the author of A Course on Borel Sets, GTM 180 .
650 0 _aMathematics
_943458
650 0 _aLogic, Symbolic and mathematical.
_99813
697 _aMatemáticas Gerais-
_x(inclusive alguns textos elementares sobre assuntos específicos)
_923752
710 1 _aSpringerLink (Online service).
_98857
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9780387762753
830 0 _aUniversitext.
_944332
856 4 0 _uhttp://dx.doi.org/10.1007/978-0-387-76277-7
942 _2impa
_cEBK
999 _aSRIVASTAVA, S. M. <b> A Course on Mathematical Logic. </b> New York: Springer New York, 2008. (Universitext). ISBN 9780387762777. Disponível em: <http://dx.doi.org/10.1007/978-0-387-76277-7 >
_c38505
_d38505