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Slicing The Truth: On The Computable And Reverse Mathematics Of Combinatorial Principles: 28 (Lecture Notes Series, Institute for Mathematical Sciences, National University of Singapore) - Hardcover
Synopsis
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.
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From the Back Cover
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.
"About this title" may belong to another edition of this title.
- PublisherWspc
- Publication date2014
- ISBN 10 9814612618
- ISBN 13 9789814612616
- BindingHardcover
- LanguageEnglish
- Number of pages230
- EditorChong Chitat, Feng Qi, Slaman Theodore A, Woodin W Hugh, Yang Yue
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Slicing the Truth
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Slicing the Truth : On the Computable and Reverse Mathematics of Combinatorial Principles
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SLICING THE TRUTH: ON THE COMPUTABLE AND REVERSE MATHEMATICS OF COMBINATORIAL PRINCIPLES - LECTURE NOTES SERIES, INSTITUTE FOR MATHEMATICAL SCIENCES, NATIONAL UNIVERSITY OF SINGAPORE 28
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SLICING THE TRUTH: ON THE COMPUTABLE AND REVERSE MATHEMATICS OF COMBINATORIAL PRINCIPLES - LECTURE NOTES SERIES, INSTITUTE FOR MATHEMATICAL SCIENCES, NATIONAL UNIVERSITY OF SINGAPORE 28
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Slicing the Truth
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SLICING THE TRUTH: ON THE COMPUTABLE AND REVERSE MATHEMATICS OF COMBINATORIAL PRINCIPLES (Lecture Notes Series, Institute for Mathematical Sciences, National University of Singapore)
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Slicing the Truth : On the Computable and Reverse Mathematics of Combinatorial Principles
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