Limits of Mathematics
A Journey Through the Key Areas of Mathematical Logic
Series: Mathematics Study Resources; 19;
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22 184 Ft
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Product details:
- Publisher Springer Berlin Heidelberg
- Date of Publication 2 October 2025
- Number of Volumes 1 pieces, Book
- ISBN 9783662709986
- Binding Paperback
- No. of pages422 pages
- Size 226x189 mm
- Language English
- Illustrations IX, 422 p. 262 illus. in color. Illustrations, color 700
Categories
Long description:
"
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, Go?del'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.
" MoreTable of Contents:
1 Historic Notes.- 2 Formal Systems.- 3 Foundations of Mathematics.- 4 Peoof Thory.- 5 Computability Theory.- 6 Algorithmic Information Theory.- Model Theory.
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