000 a
999 _c32107
_d32107
008 231006b xxu||||| |||| 00| 0 eng d
020 _a9781470452728
082 _a511.3
_bHIL
100 _aHils, Martin
245 _aA First Journey through Logic
260 _bAmerican Mathematical Society,
_c2023
_aProvidence :
300 _axi, 185 p. ;
_bill.,
_c22 cm
365 _b59.00
_cUSD
_d86.10
490 _aStudent mathematical library ;
_vv.89
504 _aIncludes bibliographical references and index.
520 _aThe aim of this book is to present mathematical logic to students who are interested in what this field is but have no intention of specializing in it. The point of view is to treat logic on an equal footing to any other topic in the mathematical curriculum. The book starts with a presentation of naive set theory, the theory of sets that mathematicians use on a daily basis. Each subsequent chapter presents one of the main areas of mathematical logic: first order logic and formal proofs, model theory, recursion theory, Gödel's incompleteness theorem, and, finally, the axiomatic set theory. Each chapter includes several interesting highlights outside of logic when possible either in the main text, or as exercises or appendices. Exercises are an essential component of the book, and a good number of them are designed to provide an opening to additional topics of interest.
650 _aLogic
650 _aSymbolic and mathematical
650 _aInstructional exposition
700 _aLoeser, Francois
942 _2ddc
_cBK