Sets, Models and Proofs

Name: Sets, Models and Proofs
SKU: 27875685
Price: 116.00 NZD
Availability: InStock

By:

Format:

Paperback / softback

Series:

Springer Undergraduate Mathematics Series

Show Hide Adult Content

$116.00

Available from supplier

Usually ships in 3-4 weeks

0 in Trolley

Price Match

Free Delivery with Primate

Join Now

Free 14 day free trial, cancel anytime.

Buy Now, Pay Later with:

4 payments of $29.00 with Afterpay Learn more

6 weekly interest-free payments of $19.33 with Laybuy Learn more

Availability

Delivering to:

Estimated arrival:

Around 18-28 June using International Courier

Description

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 Gödel’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.

Author Biography:

Both authors have extensive experience in teaching the material covered in this book, and have been active researchers in mathematical logic and related fields. Ieke Moerdijk co-authored the influential Springer text "Sheaves in Geometry and Logic, a First Course in Topos Theory", together with Saunders Mac Lane. Jaap van Oosten is an expert on realizability models for systems of constructive logic, and is the author of a comprehensive monograph on the subject: "Realizability: An Introduction to its Categorical Side" .

Release date NZ

December 6th, 2018

Author

Audience

Undergraduate

Edition

1st ed. 2018

Illustrations

39 Illustrations, black and white; XIV, 141 p. 39 illus.

Pages

141

Series

Springer Undergraduate Mathematics Series

ISBN-13

9783319924137

Product ID

27875685

Customer reviews

Nobody has reviewed this product yet. You could be the first!

Write a Review

Marketplace listings

There are no Marketplace listings available for this product currently.
Already own it? Create a free listing and pay just 9% commission when it sells!

Sell Yours Here