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Designed specifically for guided independent study.
Features a wealth of worked examples and exercises, many with full teaching solutions, that encourage active participation in the development of the material.
It focuses on core material and provides a solid foundation for further study.
This is the first book to provide a student-friendly introduction to propositional and predicate calculus, which is central to the broad field of mathematical logic. The book is aimed at undergraduates with no prior experience of logic. It does assume some mathematical background, but only that which is standard in the first year of a mathematical degree, and contains pointers for students without this background making it suitable for both mathematics and computer science courses.
The book concentrates on the core material and provides a solid foundation for further study. The emphasis is on statements about mathematical structures, formal proofs representing mathematical arguments, and mathematical applications of results. The final chapter is devoted to some of the applications of the compactness theorem within Model Theory. It is specifically designed for self-study and features a wealth of exercises to encourage students to help develop results and consolidate understanding.
Features a wealth of worked examples and exercises, many with full teaching solutions, that encourage active participation in the development of the material.
It focuses on core material and provides a solid foundation for further study.
This is the first book to provide a student-friendly introduction to propositional and predicate calculus, which is central to the broad field of mathematical logic. The book is aimed at undergraduates with no prior experience of logic. It does assume some mathematical background, but only that which is standard in the first year of a mathematical degree, and contains pointers for students without this background making it suitable for both mathematics and computer science courses.
The book concentrates on the core material and provides a solid foundation for further study. The emphasis is on statements about mathematical structures, formal proofs representing mathematical arguments, and mathematical applications of results. The final chapter is devoted to some of the applications of the compactness theorem within Model Theory. It is specifically designed for self-study and features a wealth of exercises to encourage students to help develop results and consolidate understanding.
From the reviews of the first edition:
"The aim of the present book is to give an introduction to propositional and predicate calculus which can be very useful when studying mathematical logic and many other mathematical subjects. ... The book is mainly conceived for the independent study of the students ... but it can also be used for taught courses. It is to be mentioned that the book includes very interesting exercises, many of them possessing full solutions." (Marius Tarnauceanu, Zentralblatt MATH, Vol. 1082, 2006)
"The aim of the present book is to give an introduction to propositional and predicate calculus which can be very useful when studying mathematical logic and many other mathematical subjects. ... The book is mainly conceived for the independent study of the students ... but it can also be used for taught courses. It is to be mentioned that the book includes very interesting exercises, many of them possessing full solutions." (Marius Tarnauceanu, Zentralblatt MATH, Vol. 1082, 2006)