Sets, Models and Proofs (häftad)
Fler böcker inom
Format
Häftad (Paperback / softback)
Språk
Engelska
Serie
Springer Undergraduate Mathematics Series
Antal sidor
141
Utgivningsdatum
2018-12-06
Förlag
Springer International Publishing AG
Dimensioner
234 x 156 x 8 mm
Vikt
227 g
ISBN
9783319924137

Sets, Models and Proofs

av Ieke Moerdijk, Jaap Van Oosten, Jaap Van Oosten
Häftad,  Engelska, 2018-12-06
435
Köp
Spara som favorit
  • Skickas från oss inom 10-15 vardagar.
  • Fri frakt över 249 kr för privatkunder i Sverige.
Finns även som
Visa alla 1 format & utgåvor
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.
Visa hela texten

Passar bra ihop

  1. Sets, Models and Proofs
  2. +
  3. Models for Smooth Infinitesimal Analysis

De som köpt den här boken har ofta också köpt Models for Smooth Infinitesimal Analysis av Ieke Moerdijk, Gonzalo E Reyes (previously published in hardcover).

Köp båda 2 för 1624 kr

Kundrecensioner

Har du läst boken? Sätt ditt betyg »

Fler böcker av författarna

Ieke Moerdijk, Jaap Van Oosten, Jaap Van Oosten

Övrig information

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" .

Du kanske gillar