Combinatorial Reasoning - An Introduction to the Art of Counting, DeTemple

Автор: Hirschfeldt Denis R.
Название: Slicing the Truth: On the Computable and Reverse Mathematics of Combinatorial Principles
ISBN: 9814612618 ISBN-13(EAN): 9789814612616
Издательство: World Scientific Publishing
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Описание:

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.

Автор: Eccles
Название: An Introduction to Mathematical Reasoning
ISBN: 0521597188 ISBN-13(EAN): 9780521597180
Издательство: Cambridge Academ
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Описание: This book introduces the basic ideas of mathematical proof to students embarking on university mathematics. The emphasis is on helping the reader in understanding and constructing proofs and writing clear mathematics. Over 250 problems include questions to interest and challenge the most able student and plenty of routine exercises to help familiarize the reader with the basic ideas.

Автор: Wolsey, Laurence A. (universite Catholique De Louv
Название: Integer and combinatorial optimization
ISBN: 0471359432 ISBN-13(EAN): 9780471359432
Издательство: Wiley
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Описание: Discrete optimization models are used to tackle a wide variety of problems in many fields, including operations research, management science, engineering, and mathematics. Written by two internationally recognized integer programming experts, this book presents the mathematical foundations, theory, and algorithms of discrete optimization methods.