Mathematical Logic (Dover Books on Mathematics) - Softcover

Buch 199 von 303: Dover Books on Mathematics

Kleene, Stephen Cole

 
9780486425337: Mathematical Logic (Dover Books on Mathematics)
Softcover
ISBN 10: 0486425339 ISBN 13: 9780486425337
Verlag: Dover Publications Inc., 2002

Inhaltsangabe

Undergraduate students with no prior classroom instruction in mathematical logic will benefit from this evenhanded multipart text. It begins with an elementary but thorough overview of mathematical logic of first order. The treatment extends beyond a single method of formulating logic to offer instruction in a variety of techniques: model theory (truth tables), Hilbert-type proof theory, and proof theory handled through derived rules.
The second part supplements the previously discussed material and introduces some of the newer ideas and the more profound results of twentieth-century logical research. Subsequent chapters explore the study of formal number theory, with surveys of the famous incompleteness and undecidability results of Godel, Church, Turing, and others. The emphasis in the final chapter reverts to logic, with examinations of Godel's completeness theorem, Gentzen's theorem, Skolem's paradox and nonstandard models of arithmetic, and other theorems. The author, Stephen Cole Kleene, was Cyrus C. MacDuffee Professor of Mathematics at the University of Wisconsin, Madison. Preface. Bibliography. Theorem and Lemma Numbers: Pages. List of Postulates. Symbols and Notations. Index.

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Verlag
Dover Publications Inc.
Erscheinungsdatum
2002
Sprache
Englisch
ISBN 10 
0486425339
ISBN 13 
9780486425337
Einband
Taschenbuch
Anzahl der Seiten
416
Kontakt zum Hersteller
Dover
info@galileo-mc.de

Dachauer Str. 5-7
F�rstenfeldbruck
82256
Deutschland

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Vorgestellte Ausgabe

ISBN 10:  0486324354 ISBN 13:  9780486324357
Verlag: Dover Pubns, 2002
Softcover