Denis R Hirschfeldt

Slicing the Truth

Notify me when the book’s added
To read this book, upload an EPUB or FB2 file to Bookmate. How do I upload a book?
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.
Contents:Setting Off: An IntroductionGathering Our Tools: Basic Concepts and NotationFinding Our Path: König's Lemma and ComputabilityGauging Our Strength: Reverse MathematicsIn Defense of DisarrayAchieving Consensus: Ramsey's TheoremPreserving Our Power: ConservativityDrawing a Map: Five DiagramsExploring Our Surroundings: The World Below RT22Charging Ahead: Further TopicsLagniappe: A Proof of Liu's TheoremReadership: Graduates and researchers in mathematical logic.Key Features:This book is self-contained and unified in presentationIt describes the latest development in fabrication technologies, high power lasers, short pulse generation, and photonic crystal fibersIt describes the latest development in applications of fiber amplifiers and fiber lasers in optical transmission, industrial systems, supercontinuum generation and fiber based sensors
This book is currently unavailable
1,881 printed pages
Original publication
2014

Impressions

How did you like the book?

Sign in or Register
fb2epub
Drag & drop your files (not more than 5 at once)