Reverse Mathematics

Name: Reverse Mathematics
Brand: Springer, Berlin
SKU: 9783031113697
Price: 40.27 EUR
Availability: InStock

Problems, Reductions, and Proofs

Autor: Damir D. Dzhafarov, Carl Mummert

Jazyk:

Väzba: Brožovaná

Vydavateľ: Springer, Berlin

Dostupnosť: Skladom u dodávateľa

Odosielame za 10-18 dní

40.27 €

Reverse mathematics studies the complexity of proving mathematical theorems and solving mathematical...

Informácie o knihe

Autor

Damir D. Dzhafarov, Carl Mummert

Jazyk

Angličtina

Väzba

Kniha - Brožovaná

Vydalo

2023

Stránok

488

EAN

9783031113697

Enbook ID

43748512

Vydavateľ

Springer, Berlin

Hmotnosť

707

Rozmery

155 x 235

Kompletný popis

Reverse mathematics studies the complexity of proving mathematical theorems and solving mathematical problems. Typical questions include: Can we prove this result without first proving that one? Can a computer solve this problem? A highly active part of mathematical logic and computability theory, the subject offers beautiful results as well as significant foundational insights.This text provides a modern treatment of reverse mathematics that combines computability theoretic reductions and proofs in formal arithmetic to measure the complexity of theorems and problems from all areas of mathematics. It includes detailed introductions to techniques from computable mathematics, Weihrauch style analysis, and other parts of computability that have become integral to research in the field. Topics and features:Provides a complete introduction to reverse mathematics, including necessary background from computability theory, second order arithmetic, forcing, induction, and model constructionOffers a comprehensive treatment of the reverse mathematics of combinatorics, including Ramsey's theorem, Hindman's theorem, and many other resultsProvides central results and methods from the past two decades, appearing in book form for the first time and including preservation techniques and applications of probabilistic argumentsIncludes a large number of exercises of varying levels of difficulty, supplementing each chapterThe text will be accessible to students with a standard first year course in mathematical logic. It will also be a useful reference for researchers in reverse mathematics, computability theory, proof theory, and related areas.Damir D. Dzhafarov is an Associate Professor of Mathematics at the University of Connecticut, CT, USA. Carl Mummert is a Professor of Computer and Information Technology at Marshall University, WV, USA.

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Reverse Mathematics

Problems, Reductions, and Proofs

Informácie o knihe

Kompletný popis

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