000 02913nam a22004695i 4500
001 978-0-387-76277-7
003 DE-He213
005 20161121231209.0
007 cr nn 008mamaa
008 100301s2008 xxu| s |||| 0|eng d
020 _a9780387762777
_9978-0-387-76277-7
024 7 _a10.1007/978-0-387-76277-7
_2doi
050 4 _aQA8.9-10.3
072 7 _aPBC
_2bicssc
072 7 _aPBCD
_2bicssc
072 7 _aMAT018000
_2bisacsh
082 0 4 _a511.3
_223
100 1 _aSrivastava, S. M.
_eauthor.
245 1 2 _aA Course on Mathematical Logic
_h[electronic resource] /
_cby S. M. Srivastava.
264 1 _aNew York, NY :
_bSpringer New York,
_c2008.
300 _aX, 150 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aUniversitext
505 0 _aSyntax 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.
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.
650 0 _aAlgebra.
650 0 _aMathematical logic.
650 1 4 _aMathematics.
650 2 4 _aMathematical Logic and Foundations.
650 2 4 _aAlgebra.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9780387762753
830 0 _aUniversitext
856 4 0 _uhttp://dx.doi.org/10.1007/978-0-387-76277-7
912 _aZDB-2-SMA
950 _aMathematics and Statistics (Springer-11649)
999 _c509980
_d509980