Overview

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.

Full Product Details

Author:   Denis R Hirschfeldt (The Univ Of Chicago, Usa) ,  Chi Tat Chong (Nus, S'pore) ,  Qi Feng (Chinese Academy Of Sciences, China) ,  Yue Yang (Nus, S'pore)
Publisher:   World Scientific Publishing Co Pte Ltd
Imprint:   World Scientific Publishing Co Pte Ltd
Volume:   28
Dimensions:   Width: 15.50cm , Height: 2.00cm , Length: 22.90cm
Weight:   0.544kg
ISBN:  

9789814612616

ISBN 10:   9814612618
Pages:   232
Publication Date:   15 September 2014
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print  
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