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Nonstandard Methods in Ramsey Theory and Combinatorial Number Theory, Mauro Di Nasso; Isaac Goldbring; Martino Lupini


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Автор: Mauro Di Nasso; Isaac Goldbring; Martino Lupini
Название:  Nonstandard Methods in Ramsey Theory and Combinatorial Number Theory
ISBN: 9783030179557
Издательство: Springer
Классификация:


ISBN-10: 3030179559
Обложка/Формат: Soft cover
Страницы: 206
Вес: 0.35 кг.
Дата издания: 2019
Серия: Lecture Notes in Mathematics
Язык: English
Издание: 1st ed. 2019
Иллюстрации: 2 illustrations, black and white; xvi, 206 p. 2 illus.
Размер: 234 x 156 x 12
Читательская аудитория: Professional & vocational
Основная тема: Mathematics
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: The goal of this monograph is to give an accessible introduction to nonstandard methods and their applications, with an emphasis on combinatorics and Ramsey theory. It includes both new nonstandard proofs of classical results and recent developments initially obtained in the nonstandard setting. This makes it the first combinatorics-focused account of nonstandard methods to be aimed at a general (graduate-level) mathematical audience. This book will provide a natural starting point for researchers interested in approaching the rapidly growing literature on combinatorial results obtained via nonstandard methods. The primary audience consists of graduate students and specialists in logic and combinatorics who wish to pursue research at the interface between these areas.
Дополнительное описание: #ИМЯ?



Nonstandard analysis for the working mathematician

Название: Nonstandard analysis for the working mathematician
ISBN: 9401773262 ISBN-13(EAN): 9789401773263
Издательство: Springer
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Цена: 13974.00 р.
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Описание: it is often used as a `secret weapon` by those who know the technique.This book illuminates the subject with some of the most striking applications in analysis, topology, functional analysis, probability and stochastic analysis, as well as applications in economics and combinatorial number theory.

Advances in Combinatorial Methods and Applications to Probability and Statistics

Автор: N. Balakrishnan
Название: Advances in Combinatorial Methods and Applications to Probability and Statistics
ISBN: 1461286719 ISBN-13(EAN): 9781461286714
Издательство: Springer
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Цена: 25853.00 р.
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Описание: Sri Gopal Mohanty has made pioneering contributions to lattice path counting and its applications to probability and statistics. Combinatorics and applications of combinatorial methods in probability and statistics has become a very active and fertile area of research in the recent past.

Probabilistic Methods in Combinatorial Analysis

Автор: Vladimir N. Sachkov , Translated by V. A. Vatutin
Название: Probabilistic Methods in Combinatorial Analysis
ISBN: 052145512X ISBN-13(EAN): 9780521455121
Издательство: Cambridge Academ
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Цена: 18216.00 р.
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Описание: This 1997 work explores the role of probabilistic methods for solving combinatorial problems. The author pays special attention to using these methods to obtain asymptotic formulae. This was an important book, describing many ideas not previously available in English; the author has taken the chance to rewrite parts of the text and refresh the references where appropriate.

Iterative Methods in Combinatorial Optimization

Автор: Lau
Название: Iterative Methods in Combinatorial Optimization
ISBN: 1107007518 ISBN-13(EAN): 9781107007512
Издательство: Cambridge Academ
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Цена: 12830.00 р.
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Описание: This book describes a simple and powerful method that is iterative in essence and similarly useful in a variety of settings for exact and approximate optimization. The authors highlight the commonality and uses of this method to prove a variety of classical polyhedral results on matchings, trees, matroids and flows.

Foundations and Methods in Combinatorial and Statistical Data Analysis and Clustering

Автор: Isra?l C?sar Lerman
Название: Foundations and Methods in Combinatorial and Statistical Data Analysis and Clustering
ISBN: 1447167910 ISBN-13(EAN): 9781447167914
Издательство: Springer
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Цена: 23058.00 р.
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Описание: Preface.- On Some Facets of the Partition Set of a Finite Set.- Two Methods of Non-hierarchical Clustering.- Structure and Mathematical Representation of Data.- Ordinal and Metrical Analysis of the Resemblance Notion.- Comparing Attributes by a Probabilistic and Statistical Association I.- Comparing Attributes by a Probabilistic and Statistical Association II.- Comparing Objects or Categories Described by Attributes.- The Notion of "Natural" Class, Tools for its Interpretation. The Classifiability Concept.- Quality Measures in Clustering.- Building a Classification Tree.- Applying the LLA Method to Real Data.- Conclusion and Thoughts for Future Works

Nonstandard Analysis, Axiomatically

Автор: Vladimir Kanovei; Michael Reeken
Название: Nonstandard Analysis, Axiomatically
ISBN: 3642060773 ISBN-13(EAN): 9783642060779
Издательство: Springer
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Цена: 13275.00 р.
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Описание: In the aftermath of the discoveries in foundations of mathematiC's there was surprisingly little effect on mathematics as a whole. If one looks at stan- dard textbooks in different mathematical disciplines, especially those closer to what is referred to as applied mathematics, there is little trace of those developments outside of mathematical logic and model theory. But it seems fair to say that there is a widespread conviction that the principles embodied in the Zermelo - Fraenkel theory with Choice (ZFC) are a correct description of the set theoretic underpinnings of mathematics. In most textbooks of the kind referred to above, there is, of course, no discussion of these matters, and set theory is assumed informally, although more advanced principles like Choice or sometimes Replacement are often mentioned explicitly. This implicitly fixes a point of view of the mathemat- ical universe which is at odds with the results in foundations. For example most mathematicians still take it for granted that the real number system is uniquely determined up to isomorphism, which is a correct point of view as long as one does not accept to look at "unnatural" interpretations of the membership relation.

Combinatorial Methods and Models

Автор: Alexander Ahlswede; Rudolf Ahlswede; Ingo Alth?fer
Название: Combinatorial Methods and Models
ISBN: 3319531379 ISBN-13(EAN): 9783319531373
Издательство: Springer
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Цена: 15372.00 р.
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Описание: Whereas the first part of the book concentrates on combinatorial methods in order to analyse classical codes as prefix codes or codes in the Hamming metric, the second is devoted to combinatorial models in Information Theory.

Combinatorial Methods

Автор: Jerome K. Percus
Название: Combinatorial Methods
ISBN: 0387900276 ISBN-13(EAN): 9780387900278
Издательство: Springer
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Цена: 6008.00 р.
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Описание: But the mathematical sophistication of scientists has grown rapidly too, as has the scientific sophistication of many mathematicians, and the real worl- suitably defined - is once more serving its traditional role.

Combinatorial methods in topology and algebra

Название: Combinatorial methods in topology and algebra
ISBN: 3319201549 ISBN-13(EAN): 9783319201542
Издательство: Springer
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Цена: 11878.00 р.
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Описание: Combinatorics plays a prominent role in contemporary mathematics, due to the vibrant development it has experienced in the last two decades and its many interactions with other subjects.This book arises from the INdAM conference "CoMeTA 2013 - Combinatorial Methods in Topology and Algebra,`` which was held in Cortona in September 2013.

Nonstandard Analysis - Recent Developments

Автор: A.E. Hurd
Название: Nonstandard Analysis - Recent Developments
ISBN: 3540122796 ISBN-13(EAN): 9783540122791
Издательство: Springer
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Цена: 6288.00 р.
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Nonstandard Analysis for the Working Mathematician

Автор: Peter A. Loeb; Manfred P. H. Wolff
Название: Nonstandard Analysis for the Working Mathematician
ISBN: 9401776245 ISBN-13(EAN): 9789401776240
Издательство: Springer
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Цена: 13275.00 р.
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Описание: it is often used as a `secret weapon` by those who know the technique.This book illuminates the subject with some of the most striking applications in analysis, topology, functional analysis, probability and stochastic analysis, as well as applications in economics and combinatorial number theory.

Nonstandard Asymptotic Analysis

Автор: Imme van den Berg
Название: Nonstandard Asymptotic Analysis
ISBN: 3540177671 ISBN-13(EAN): 9783540177678
Издательство: Springer
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Цена: 3487.00 р.
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Описание: Considers the subject of asymptotics from a nonstandard view point. Noting that within nonstandard analysis, `small`, `large`, and `domain of validity of asymptotic behaviour` have a precise meaning, this research monograph develops a nonstandard alternative to classical asymptotics.


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