A Concise Introduction to Mathematical Logic
Description
This book is unique in treating mathematical logic in a concise and streamlined fashion. This allows many important topics to be covered in a one semester course. Although the book is intended for use as a graduate text the first three chapters can be understood by undergraduates interested in mathematical logic. The remaining chapters contain material on logic programming for computer scientists, model theory, recursion theory, Godel's Incompleteness Theorems, and applications of mathematical logic. Philosophical and foundational problems of mathematics are discussed throughout the text, and the author has provided exercises for each chapter, as well as hints to selected exercises. Traditional logic as a part of philosophy is one of the oldest scientific disciplines. Mathematical logic, however, is a relatively young discipline and arose from the endeavors of Peano, Frege, Russell and others to create a logistic foundation for mathematics.
Reviews / Votes
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)
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