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Springer - Reverse Mathematics: Problems, Reductions, and Proofs

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Description

Explore the depths of mathematical logic with Reverse Mathematics: Problems, Reductions, and Proofs. Published by Springer as part of the Theory and Applications of Computability series, this text offers a modern approach to understanding the complexity behind mathematical theorems and problem-solving. This book addresses fundamental questions in the field, such as whether specific results can be proven without prior knowledge of others, and whether certain problems are solvable by computers. It provides a comprehensive look at how computability theoretic reductions and proofs in formal arithmetic work together to measure the complexity of theorems across various mathematical areas. Ideal for those studying mathematical logic and computability theory, this work delivers significant foundational insights and beautiful results. It serves as a vital resource for understanding the relationship between mathematical truth and computational complexity.

Key Features

Provides a modern treatment of reverse mathematics through computability theoretic reductions and formal arithmetic proofs.

Explores the complexity of mathematical theorems and problems across all areas of mathematics.

Investigates foundational questions regarding the necessity of specific mathematical proofs and results.

Analyzes the relationship between mathematical logic and the ability of computers to solve specific problems.

Offers significant foundational insights into the field of computability theory and mathematical logic.

Product Specifications

Format
paperback
Domain
Amazon UK
Release Date
26 July 2023
Listed Since
29 June 2023

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