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The new edition of this classic textbook, Introduction to Mathematical Logic, Sixth Edition explores the principal topics of mathematical logic. It covers propositional logic, first-order logic, first-order number theory, axiomatic set theory, and the theory of computability. The text also discusses the major results of Gödel, Church, Kleene, Rosser, and Turing.
The sixth edition incorporates recent work on Gödel's second incompleteness theorem as well as restoring an appendix on consistency proofs for first-order arithmetic. This appendix last appeared in the first edition. It is offered in the new edition for historical considerations. The text also offers historical perspectives and many new exercises of varying difficulty, which motivate and lead students to an in-depth, practical understanding of the material.
List of contents
The Propositional Calculus. First-Order Logic and Model Theory. Formal Number Theory. Axiomatic Set Theory. Computability. Appendices.
About the author
Elliott Mendelson is professor emeritus at Queens College in Flushing, New York, USA. Dr. Mendelson obtained his bachelor's degree at Columbia University and his master's and doctoral degrees at Cornell University, and was elected afterward to the Harvard Society of Fellows. In addition to his other writings, he is the author of another CRC Press book
Introducing Game Theory and Its Applications.
Summary
This bestselling, classic textbook continues to provide a complete one-semester introduction to mathematical logic. The sixth edition incorporates recent work on Gödel’s second incompleteness theorem as well as an appendix on consistency proofs for first-order arithmetic. It also offers historical perspectives and many new exercises of varying d
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Praise for the Fifth Edition
"Since it first appeared in 1964, Mendelson's book has been recognized as an excellent textbook in the field ... This book rightfully belongs in the small, elite set of superb books that every computer science graduate, graduate student, scientist, and teacher should be familiar with."
-Computing Reviews
"Since its first edition, this fine book has been a text of choice for a beginner's course on mathematical logic ... There are many fine books on mathematical logic, but Mendelson's textbook remains a sure choice for a first course for its clear explanations and organization..."
-MAA Reviews
"[This book] is the most concise and readable introductory text I have ever encountered ... I have pulled the ideas for many test questions from it over the years."
-Charles Ashbacher, Upper Iowa University
