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 completelness theorems with answeres 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.

Mathematical Logic: A Course with ExercisesPart I: Propositional Calculus, Boolean Algebras, Predicate Calculus, Completeness Theorems

Cori, René

Lascar, Daniel

Pelletier, Donald H.

Reference

Oxford University Press

Mathematical Logic: A Course with ExercisesPart II: Recursion Theory, Gödel's Theorems, Set Theory, Model Theory

Logic forms the basis of mathematics, and is hence a fundamental part of any mathematics course. It is a major element in theoretical computer science and has undergone a huge revival with the every- growing importance of computer science. This text is based on a course to undergraduates and provides 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 foundations having been laid in "Part I", this book starts with recursion theory, a topic essential for the complete scientist. Then follows Godel's incompleteness theorems and axiomatic set theory. Chapter 8 provides an introduction to model theory. There are examples throughout each section, and varied selection of exercises at the end. Answers to the exercises are given in the appendix.

Recursion Theory, Godel's Theorems, Set Theory, Model Theory (Mathematical Logic: A Course With Exercises, Part II)

Politics & Social Sciences

Philosophy

Logic forms the basis of mathematics, and is hence a fundamental part of any mathematics course. It is a major element in theoretical computer science and has undergone a huge revival with the ever-growing importance of computer science. This text is based on a course to undergraduates and provides 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 foundations having been laid in Part 1, this book starts with recursion theory, a topic essential for the complete scientist. Then follows Godel's incompleteness theorems and axiomatic set theory. Chapter 8 provides an introduction to model theory. There are examples throughout each section, and varied selection of exercises at the end. Answers to the exercises are given in the appendix.

Pelletier, Donald

Stability in Model Theory (Pitman Monographs & Surveys in Pure & Applied Mathematics)

Science & Math

Lascar D

Mathematics

Longman Scientific and Technical

Logique mathématique - Tome 1 - Calcul propositionnel, algèbres de Boole, calcul des prédicats

Dunod]

Logique mathématique - Tome 2 - Fonctions récursives, théorème de Gödel, théorie des ensembles

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