Logic forms the basis of mathematics and is a fundamental part of any mathematics course. This book provides students with a clear and accessible introduction to this important subject, using the concept of model as the main focus and covering a wide area of logic. The chapters of the book cover propositional calculus, boolean algebras, predicate calculus and completeness theorems with answers to all of the exercises and the end of the volume. This is an ideal introduction to mathematics and logic for the advanced undergraduate student.
"This text is based on a course to undergraduates and gives a clear and accessible introduction to mathematical logic. The concept of model provides the underlying theme, giving the text a theoretical coherence whilst still covering a wide area of logic. The first chapter considers propositional calculus; then Boolean algebras follow; Chapter 3 covers predicate calculus and this is followed by completeness theorems. Large numbers of examples appear throughout the text and each chapter concludes with a selection of exercises to reinforce the student's understanding. Answers to the exercises are given in an appendix."--
L'Enseignement Mathématique"I have always been especially fond of logic. The two-volume
Mathematical Logic: A Course with Exercises is a comprehensive introductory course that is distinguished by clarity of exposition and a large number of exercises with thorough solutions. Each volume is about 330 pages long, 80 of which are solutions!"
The Bulletin of Mathematics Books