Sets, Models and Proofs (Paperback, 1st ed. 2018)

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.

General

Imprint:	Springer International Publishing AG
Country of origin:	Switzerland
Series:	Springer Undergraduate Mathematics Series
Release date:	December 2018
First published:	2018
Authors:	Ieke Moerdijk • Jaap Van Oosten
Dimensions:	235 x 155 x 7mm (L x W x T)
Format:	Paperback
Pages:	141
Edition:	1st ed. 2018
ISBN-13:	978-3-319-92413-7
Categories:	Books > Science & Mathematics > Mathematics > Mathematical foundations > Mathematical logic Books > Science & Mathematics > Mathematics > Algebra > General Promotions
LSN:	3-319-92413-3
Barcode:	9783319924137

Is the information for this product incomplete, wrong or inappropriate? Let us know about it.

Does this product have an incorrect or missing image? Send us a new image.

Is this product missing categories? Add more categories.

Review This Product

No reviews yet - be the first to create one!