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From the reviews of the second edition:
„This is a translation of the author’s textbook (in German) on mathematical logic … . The book’s goal is to provide three main theorems of mathematical logic … . There are exercises. The book can be useful for students and for lecturers who prepare a mathematical logic course at a (technical) university.“ (Alex Nabebin, Zentralblatt MATH, Vol. 1093 (19), 2006)
A Concise Introduction to Mathematical Logic
von Wolfgang RautenbergThorough treatment of Godel's Incompleteness Theorems Concise treatment of mathematical logic Contains nice applications of the compactness theorem Includes supplementary material: sn. pub/extras