Lectures in Logic and Set Theory: Volume I: Mathematical Logic - Couverture souple

Livre 21 sur 140: Cambridge Studies in Advanced Mathematics

Tourlakis, George

 
9780521168465: Lectures in Logic and Set Theory: Volume I: Mathematical Logic

Synopsis

This two-volume work bridges the gap between introductory expositions of logic or set theory on one hand, and the research literature on the other. It can be used as a text in an advanced undergraduate or beginning graduate course in mathematics, computer science, or philosophy. The volumes are written in a user-friendly conversational lecture style that makes them equally effective for self-study or class use. Volume 1 includes formal proof techniques, a section on applications of compactness (including nonstandard analysis), a generous dose of computability and its relation to the incompleteness phenomenon, and the first presentation of a complete proof of Godel's 2nd incompleteness since Hilbert and Bernay's Grundlagen theorem.

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Présentation de l'éditeur

This two-volume work bridges the gap between introductory expositions of logic or set theory on one hand, and the research literature on the other. It can be used as a text in an advanced undergraduate or beginning graduate course in mathematics, computer science, or philosophy. The volumes are written in a user-friendly conversational lecture style that makes them equally effective for self-study or class use. Volume 1 includes formal proof techniques, a section on applications of compactness (including nonstandard analysis), a generous dose of computability and its relation to the incompleteness phenomenon, and the first presentation of a complete proof of Godel's 2nd incompleteness since Hilbert and Bernay's Grundlagen theorem.

Revue de presse

Review of the hardback: ' ... stands among the dozen or so books that will remain within easy reach from my desk ... a highly worthwhile addition to the literature.' The Review of Modern Logic

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