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.
Описание: This volume contains selected refereed papers based on lectures presented at the "Integers Conference 2011", an international conference in combinatorial number theory that was held in Carrollton, Georgia, United States in October 2011. This was the fifth Integers Conference, held bi-annually since 2003. It featured plenary lectures presented by Ken Ono, Carla Savage, Laszlo Szekely, Frank Thorne, and Julia Wolf, along with sixty other research talks. This volume consists of ten refereed articles, which are expanded and revised versions of talks presented at the conference. They represent a broad range of topics in the areas of number theory and combinatorics including multiplicative number theory, additive number theory, game theory, Ramsey theory, enumerative combinatorics, elementary number theory, the theory of partitions, and integer sequences.
Автор: Feng Yuefeng Название: Combinatorial Extremization ISBN: 9814723169 ISBN-13(EAN): 9789814723169 Издательство: World Scientific Publishing Рейтинг: Цена: 3326.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: In China, lots of excellent students who are good at maths takes an active part in various maths contests and the best six senior high school students will be selected to form the IMO National Team to compete in the International Mathematical Olympiad.
Автор: Feng Yuefeng Название: Combinatorial Extremization ISBN: 9814730025 ISBN-13(EAN): 9789814730020 Издательство: World Scientific Publishing Рейтинг: Цена: 6336.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: In China, lots of excellent students who are good at maths takes an active part in various maths contests and the best six senior high school students will be selected to form the IMO National Team to compete in the International Mathematical Olympiad.
Автор: Brualdi Название: Combinatorial Matrix Theory ISBN: 1107662605 ISBN-13(EAN): 9781107662605 Издательство: Cambridge Academ Рейтинг: Цена: 8554.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book, first published in 1991, is devoted to the exposition of combinatorial matrix theory. This subject concerns itself with the use of matrix theory and linear algebra in proving results in combinatorics (and vice versa), and with the intrinsic properties of matrices viewed as arrays of numbers rather than algebraic objects in themselves.
Автор: Vladimir N. Sachkov , Translated by V. Kolchin Название: Combinatorial Methods in Discrete Mathematics ISBN: 0521455138 ISBN-13(EAN): 9780521455138 Издательство: Cambridge Academ Рейтинг: Цена: 18216.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: A 1996 account of some complex problems of discrete mathematics in a simple and unified form. A distinctive aspect of the book is the large number of asymptotic formulae derived. This is an important book, describing many ideas not previously available in English; the author has taken the chance to update the text and references where appropriate.
Описание: This Book Is A Unique Work Which Provides An In-Depth Exploration Into The Mathematical Expertise, Philosophy, And Knowledge Of H W Gould. It Is Written In A Style That Is Accessible To The Reader With Basic Mathematical Knowledge, And Yet Contains Material That Will Be Of Interest To The Specialist In Enumerative Combinatorics. This Book Begins With Exposition On The Combinatorial And Algebraic Techniques That Professor Gould Uses For Proving Binomial Identities. These Techniques Are Then Applied To Develop Formulas Which Relate Stirling Numbers Of The Second Kind To Stirling Numbers Of The First Kind. Professor Gould'S Techniques Also Provide Connections Between Both Types Of Stirling Numbers And Bernoulli Numbers. Professor Gould Believes His Research Success Comes From His Intuition On How To Discover Combinatorial Identities.This Book Will Appeal To A Wide Audience And May Be Used Either As Lecture Notes For A Beginning Graduate Level Combinatorics Class, Or As A Research Supplement For The Specialist In Enumerative Combinatorics.
Автор: Le Roux Название: Combinatorial Inference In Geometri ISBN: 1498781616 ISBN-13(EAN): 9781498781619 Издательство: Taylor&Francis Рейтинг: Цена: 16843.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Combinatorial Inference in Geometric Data Analysis gives an overview of multidimensional statistical inference methods applicable to clouds of points that make no assumption on the process of generating data or distributions, and that are not based on random modelling but on permutation procedures recasting in a combinatorial framework.
Описание: The Ricci flow uses methods from analysis to study the geometry and topology of manifolds. With the third part of their volume on techniques and applications of the theory, the authors give a presentation of Hamilton`s Ricci flow for graduate students and mathematicians interested in working in the subject, with an emphasis on the geometric and analytic aspects.
Описание: A solutions manual that accompanies Combinatorial Reasoning: An Introduction to the Art of Counting. It introduces combinatorics alongside modern techniques, showcases the interdisciplinary aspects of the topic, and illustrates how to problem solve with a multitude of exercises throughout.
Автор: Ball Название: Finite Geometry and Combinatorial Applications ISBN: 1107107997 ISBN-13(EAN): 9781107107991 Издательство: Cambridge Academ Рейтинг: Цена: 23285.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: For students and researchers interested in algebraic combinatorics, this book not only provides an introduction to the geometries arising from vector spaces over finite fields but also shows how these geometries can be applied to various combinatorial objects. More than 100 exercises and solutions are provided.
Автор: Gross Название: Graph Theory & Its Applications, 3E ISBN: 1482249480 ISBN-13(EAN): 9781482249484 Издательство: Taylor&Francis Рейтинг: Цена: 13779.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Graph Theory and its Applications, Third Edition is the latest edition of the bestselling textbook for undergraduate courses in graph theory, yet expansive enough to be used for graduate courses. It takes a comprehensive, accessible approach to graph theory that integrates classical developments with emerging methods, models, and practical needs.
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