Sets, Models and Proofs

By: Ieke Moerdijk, Jaap van Oosten

Write A Review

Paperback | 6 December 2018

At a Glance

Paperback
156 Pages

Dimensions(cm)
23.5 x 15.7 x 0.7

Paperback

$54.99

or 4 interest-free payments of $13.75 with

or

Ships in 5 to 7 business days

This textbook provides a concise and self-contained introduction to mathematical logic, with a focus on the fundamental topics in first-order logic and model theory. Including examples from several areas of mathematics (algebra, linear algebra and analysis), the book illustrates the relevance and usefulness of logic in the study of these subject areas.

The authors start with an exposition of set theory and the axiom of choice as used in everyday mathematics. Proceeding at a gentle pace, they go on to present some of the first important results in model theory, followed by a careful exposition of Gentzen-style natural deduction and a detailed proof of Goedel's completeness theorem for first-order logic. The book then explores the formal axiom system of Zermelo and Fraenkel before concluding with an extensive list of suggestions for further study.

The present volume is primarily aimed at mathematics students who are already familiar with basic analysis, algebra and linear algebra. It contains numerous exercises of varying difficulty and can be used for self-study, though it is ideally suited as a text for a one-semester university course in the second or third year.

Industry Reviews

"This text is very well written and does an excellent job introducing the subject matter to a student. Even if your school does not have a course covering these topics, I would recommend the text for a student conducting an independent study of the material." (Geoffrey D. Dietz, MAA Reviews, July 28, 2019)
"This book is one of a few excellent textbooks for a one-semester introductory mathematical logic course for undergraduate students with relevant majors. It achieves a good balance between depth and brevity. It fits the needs of a student who wants to explore the subject but does not want to be bogged down by excessive demands of rigor before appreciation for mathematical logic can be developed. ... This book is short but self-contained and ... interesting exercises complement the main theorems." (Renling Jin, Mathematical Reviews, September, 2019)

Shipping

	Standard Shipping	Express Shipping
Metro postcodes:	$9.99	$14.95
Regional postcodes:	$9.99	$14.95
Rural postcodes:	$9.99	$14.95

Orders over $79.00 qualify for free shipping.

How to return your order

At Booktopia, we offer hassle-free returns in accordance with our returns policy. If you wish to return an item, please get in touch with Booktopia Customer Care.

Additional postage charges may be applicable.