Limits of Mathematics: A Journey Through the Key Areas of Mathematical Logic - Couverture souple

Livre 16 sur 16: Mathematics Study Resources

Hoffmann, Dirk W.

 
9783662709986: Limits of Mathematics: A Journey Through the Key Areas of Mathematical Logic
Couverture souple
ISBN 10 : 3662709988 ISBN 13 : 9783662709986
Editeur : Springer, 2025

Synopsis

Is mathematics free of contradictions? Are there truths beyond what can be proven? Is it possible to encode our mathematical knowledge into a single number?

Modern mathematical logic of the twentieth century provides astonishing answers to these questions.

This book takes you on a journey through the core areas of mathematical logic, leading to the limits of mathematics. The covered topics include the history of mathematical logic, formal systems, axiomatic number theory and set theory, proof theory, Gödel's incompleteness theorems, computability theory, algorithmic information theory, and model theory.

The book contains numerous two-color illustrations and more than 70 exercises (with solutions available on the author's website). This translation is based on the third edition of the original German book.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

À propos de l?auteur

Prof. Dr. Dirk W. Hoffmann is a professor at the Department of Computer Science and Business Information Systems at Karlsruhe University of Applied Sciences in Germany. He has also authored the book Gödel's Incompleteness Theorems - A Guided Tour Through Kurt Gödel's Historic Proof.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Springer
Date d'édition
2025
Langue
anglais
ISBN 10 
3662709988
ISBN 13 
9783662709986
Reliure
Broché
Nombre de pages
432
Coordonnées du fabricant
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