{"product_id":"9789814612630","title":"Slicing The Truth: On The Computable And Reverse Mathematics Of Combinatorial Principles: On the Computable and Reverse Mathematics of Combinatorial Principles","description":"\u003cp\u003eThis 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.\u003c\/p\u003e\u003cb\u003eContents:\u003c\/b\u003e\u003cul\u003e\n\u003cli\u003eSetting Off: An Introduction\u003c\/li\u003e\n\u003cli\u003eGathering Our Tools: Basic Concepts and Notation\u003c\/li\u003e\n\u003cli\u003eFinding Our Path: König's Lemma and Computability\u003c\/li\u003e\n\u003cli\u003eGauging Our Strength: Reverse Mathematics\u003c\/li\u003e\n\u003cli\u003eIn Defense of Disarray\u003c\/li\u003e\n\u003cli\u003eAchieving Consensus: Ramsey's Theorem\u003c\/li\u003e\n\u003cli\u003ePreserving Our Power: Conservativity\u003c\/li\u003e\n\u003cli\u003eDrawing a Map: Five Diagrams\u003c\/li\u003e\n\u003cli\u003eExploring Our Surroundings: The World Below RT\u003csup\u003e2\u003c\/sup\u003e\u003csub\u003e2\u003c\/sub\u003e\n\u003c\/li\u003e\n\u003cli\u003eCharging Ahead: Further Topics\u003c\/li\u003e\n\u003cli\u003eLagniappe: A Proof of Liu's Theorem\u003c\/li\u003e\n\u003c\/ul\u003e\u003cbr\u003e\u003cb\u003eReadership:\u003c\/b\u003e Graduates and researchers in mathematical logic.\u003cbr\u003e\u003cb\u003eKey Features:\u003c\/b\u003e\u003cul\u003e\n\u003cli\u003eThis book is self-contained and unified in presentation\u003c\/li\u003e\n\u003cli\u003eIt describes the latest development in fabrication technologies, high power lasers, short pulse generation, and photonic crystal fibers\u003c\/li\u003e\n\u003cli\u003eIt describes the latest development in applications of fiber amplifiers and fiber lasers in optical transmission, industrial systems, supercontinuum generation and fiber based sensors\u003c\/li\u003e\n\u003c\/ul\u003e","brand":"World Scientific Publishing Company, Incorporated","offers":[{"title":"Default Title","offer_id":47185302487280,"sku":"9789814612630","price":18.0,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0737\/7593\/9824\/files\/9789814612630_p0.jpg?v=1763692015","url":"https:\/\/shop-qa.barnesandnoble.com\/products\/9789814612630","provider":"Barnes \u0026 Noble (DEV)","version":"1.0","type":"link"}