Limits of Mathematics: A Journey Through the Key Areas of Mathematical Logic (Mathematics Study Resources, Band 19) - Softcover

Hoffmann, Dirk W.

Softcover

ISBN 10: 3662709988 ISBN 13: 9783662709986

Verlag: Springer, 2025

Inhaltsangabe

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.

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Über die Autorin bzw. den Autor

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.

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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.

 

About the author

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.

Details zur Ausgabe

• Verlag: Springer
• Erscheinungsdatum: 2025
• Sprache: Englisch
• ISBN 10: 3662709988
• ISBN 13: 9783662709986
• Einband: Taschenbuch
• Anzahl der Seiten: 432
• Kontakt zum Hersteller: ProductSafety@springernature.com; ProductSafety@springernature.com; ; Europaplatz 3; Heidelberg; 69115; Deutschland