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Textbooks "Lectures in Logic and Set Theory" by George Tourlakis

Lectures in Logic and Set Theory

Volume 1, Mathematical Logic (GBP 47,50)
Volume 2, Set Theory (GBP 65,00)

George Tourlakis

http://books.cambridge.org/0521753732.htm
http://books.cambridge.org/0521753740.htm

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 I
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 Bernays
Grundlagen theorem.