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Bücher Englische Bücher Wissen & Bildung Naturwissenschaft, Medizin, Informatik, Technik Mathematik Grundlagen Logical Foundations of Mathematics and Computational Complexity
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Logical Foundations of Mathematics and Computational Complexity
Pavel Pudlák (Gebundene Ausgabe, Englisch)
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Beschreibung
The two main themes of this book, logic and complexity, are both essential for understanding the main problems about the foundations of mathematics. Logical Foundations of Mathematics and Computational Complexity covers a broad spectrum of results in logic and set theory that are relevant to the foundations, as well as the results in computational complexity and the interdisciplinary area of proof… complexity. The author presents his ideas on how these areas are connected, what are the most fundamental problems and how they should be approached. In particular, he argues that complexity is as important for foundations as are the more traditional concepts of computability and provability.Emphasis is on explaining the essence of concepts and the ideas of proofs, rather than presenting precise formal statements and full proofs. Each section starts with concepts and results easily explained, and gradually proceeds to more difficult ones. The notes after each section present some formal definitions, theorems and proofs.Logical Foundations of Mathematics and Computational Complexity is aimed at graduate students of all fields of mathematics who are interested in logic, complexity and foundations. It will also be of interest for both physicists and philosophers who are curious to learn the basics of logic and complexity theory. Dieses Produkt haben wir gerade leider nicht auf Lager.
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Technische Daten
Erscheinungsdatum
31.05.2013
Sprache
Englisch
EAN
9783319001180
Herausgeber
Springer International Publishing
Serien- oder Bandtitel
Springer Monographs in Mathematics
Sonderedition
Nein
Autor
Pavel Pudlák
Seitenanzahl
695
Einbandart
Gebundene Ausgabe
Buch Untertitel
A Gentle Introduction
Schlagwörter
Complexity of Proofs, Computational Complexity, Foundations of Mathematics, Incompleteness Theorems, Mathematical Logic, Set-Theoretical Foundations, algorithmic complexity, algorithm analysis and problem complexity
Thema-Inhalt
PBCD - Mathematik: Logik
PBC - Mathematische Grundlagen
PBW - Angewandte Mathematik
UMB - Algorithmen und Datenstrukturen
Höhe
235 mm
Breite
15.5 cm
Hersteller: Springer Nature Customer Service Center GmbH, Europaplatz 3, Heidelberg, Deutschland, 69115, ProductSafety@springernature.com
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