A Course in Mathematical Logic - Manin, Yuri I.
KORTE INHOUD
This book is a text of mathematical logic on a sophisticated level, presenting the reader with several of the most significant discoveries of the last 10 to 15 years, including the independence of the continuum hypothesis, the Diophantine nature of enumerable sets and the impossibility of finding an algorithmic solution for certain problems. The book contains the first textbook presentation of Matijasevic's result. The central notions are provability and computability; the emphasis of the presentation is on aspects of the theory which are of interest to the working mathematician. Many of the approaches and topics covered are not standard parts of logic courses; they include a discussion of the logic of quantum mechanics, Goedel's constructible sets as a sub-class of von Neumann's universe, the Kolmogorov theory of complexity. Feferman's theorem on Goedel formulas as axioms and Highman's theorem on groups defined by enumerable sets of generators and relations. A number of informal digressions concerned with ps...
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1977Uitgever: Springer-Verlag New York Inc.286 paginasTaal: EngelsISBN-10: 0387902430ISBN-13: 9780387902432Koop dit boek tweedehands
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Original boards, illustrated with numerous equations and diagrams, 8vo. Graduate texts in mathematics, 53.; Corners worn, name in pen on title page. [Auteur: Manin, Yu. I.] [Pagina's: 286] [Taal: en] [Uitgever: New York : Springer-Verlag] [Jaar: 1977] [Titel: Course in Mathematical Logic]
