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Slicing The Truth: On The Computable And Reverse Mathematics Of Combinatorial Principles - Denis R Hirschfeldt

Slicing The Truth: On The Computable And Reverse Mathematics Of Combinatorial Principles

Buch | Hardcover
232 Seiten
2014
World Scientific Publishing Co Pte Ltd (Verlag)
978-981-4612-61-6 (ISBN)
CHF 66,30 inkl. MwSt
This book is a brief and focused introduction to the reverse mathematics and computability theory of combinatorial principles, an area of research which has seen a particular surge of activity in the last few years. It provides an overview of some fundamental ideas and techniques, and enough context to make it possible for students with at least a basic knowledge of computability theory and proof theory to appreciate the exciting advances currently happening in the area, and perhaps make contributions of their own. It adopts a case-study approach, using the study of versions of Ramsey's Theorem (for colorings of tuples of natural numbers) and related principles as illustrations of various aspects of computability theoretic and reverse mathematical analysis. This book contains many exercises and open questions.
Reihe/Serie Lecture Notes Series, Institute for Mathematical Sciences, National University of Singapore ; 28
Verlagsort Singapore
Sprache englisch
Themenwelt Mathematik / Informatik Mathematik Graphentheorie
Mathematik / Informatik Mathematik Logik / Mengenlehre
ISBN-10 981-4612-61-8 / 9814612618
ISBN-13 978-981-4612-61-6 / 9789814612616
Zustand Neuware
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