A Concise Introduction to Mathematical Logic [Paperback]

Mathematical logic developed into a broad discipline with many applications in mathematics, informatics, linguistics and philosophy. This text introduces the fundamentals of this field, and this new edition has been thoroughly expanded and revised.

From the reviews of the third edition:

Wolfgang Rautenbergs A Concise Introduction to Mathematical Logic is a pretty ambitious undertaking, seeing that at the indicated introductory level it covers classical material & and Godels incompleteness theorems, as well as some topics motivated by applications, such as chapter on logic programming (from the Foreword by Lev Beklemishev). & The third edition & is a fine piece of scholarship and will more than repay the efforts of the committed student who chooses this means as an entry into modern mathematical logic. (Michael Berg, The Mathematical Association of America, June, 2010)

This is essentially the English translation of the third edition of the German version [Einf?hrung in die mathematische Logik. Ein Lehrbuch. Wiesbaden: Vieweg+Teubner (2008; Zb1 1152.03-002)] of this well-written textbook & . The book remains one of the most recommendable introductions into mathematical logic for mathematicians, and well-suited for computer scientists too. (Siegfried J. Gottwald, Zentralblatt MATH, Vol. 1185, 2010)

Traditional logic as a part of philosophy is one of the oldest scientific disciplines and can be traced back to the Stoics and to Aristotle. Mathematical logic, however, is a relatively young discipline and arose from the endeavors of Peano, Frege, and others to create a logistic foundation for mathematics. It steadily developed during the twentieth century into a broad discipline with severalÓ$