Limits of Mathematics (Paperback)

Dirk W. Hoffmann

ISBN 10: 3662709988 / ISBN 13: 9783662709986

Editore: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG, Berlin, 2025

Paperback. 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, Goedel'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. The covered topics include the history of mathematical logic, formal systems, axiomatic number theory and set theory, proof theory, Goedel's incompleteness theorems, computability theory, algorithmic information theory, and model theory. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability. Codice articolo 9783662709986

Riassunto:

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.

Informazioni sull?autore:

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.

Dati bibliografici

Titolo: Limits of Mathematics (Paperback)
Casa editrice: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG, Berlin
Data di pubblicazione: 2025
Legatura: Paperback
Condizione: new