Computations and combinatorics in commutative algebra, 

Автор: Stanley
Название: Enumerative Combinatorics
ISBN: 1107602629 ISBN-13(EAN): 9781107602625
Издательство: Cambridge Academ
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Описание: Richard Stanley`s two-volume basic introduction to enumerative combinatorics has become the standard guide to the topic for students and experts alike. This thoroughly revised second edition of Volume 1 includes more than 300 new exercises, many with solutions, updated and expanded chapter bibliographies and substantial new material on permutation statistics.

Автор: Susan M. Cooper; Sean Sather-Wagstaff
Название: Connections Between Algebra, Combinatorics, and Geometry
ISBN: 1493906259 ISBN-13(EAN): 9781493906253
Издательство: Springer
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Автор: J. H. van Lint
Название: A Course in Combinatorics
ISBN: 0521006015 ISBN-13(EAN): 9780521006019
Издательство: Cambridge Academ
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Описание: Combinatorics deals with ways of arranging and distributing mathematical objects, and involves ideas from geometry, algebra and analysis. The theory has broad applications, including codes, circuit design and algorithm complexity. Graph theory, enumeration, external problems, projective geometry, designs, colourings and codes, amongst others, are dealt with in a unified way.

Автор: Baik Jinho
Название: Combinatorics and Random Matrix Theory
ISBN: 0821848410 ISBN-13(EAN): 9780821848418
Издательство: Mare Nostrum (Eurospan)
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Описание: Over the last fifteen years a variety of problems in combinatorics has been solved in terms of random matrix theory. More precisely, the situation is as follows: the problems at hand are probabilistic in nature and, in an appropriate scaling limit, it turns out that certain key quantities associated with these problems behave statistically like the eigenvalues of a (large) random matrix. Said differently, random matrix theory provides a ``stochastic special function theory'' for a broad and growing class of problems in combinatorics. The goal of this book is to analyze in detail two key examples of this phenomenon, viz., Ulam's problem for increasing subsequences of random permutations and domino tilings of the Aztec diamond. Other examples are also described along the way, but in less detail.Techniques from many different areas in mathematics are needed to analyze these problems. These areas include combinatorics, probability theory, functional analysis, complex analysis, and the theory of integrable systems. The book is self-contained, and along the way we develop enough of the theory we need from each area that a general reader with, say, two or three years experience in graduate school can learn the subject directly from the text.

Автор: Xiu, Dongbin
Название: Numerical methods for stochastic computations
ISBN: 0691142122 ISBN-13(EAN): 9780691142128
Издательство: Wiley
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Цена: 9504.00 р.
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Описание: Focusing on fundamental aspects of numerical methods for stochastic computations, this book describes the class of numerical methods based on generalized polynomial chaos (gPC). It illustrates through examples Basic gPC methods, and includes polynomial approximation theory and probability theory.

Автор: Bullett Shaun Et Al
Название: Algebra, Logic And Combinatorics
ISBN: 1786340305 ISBN-13(EAN): 9781786340306
Издательство: World Scientific Publishing
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Описание:

"The articles are all quite well-written and informative. In these days of increasing mathematical specialization, it's always nice to find something that helps bridge the gap between disciplines. It's even nicer when the contents are of the quality of these articles. This is an interesting, enjoyable and valuable book."

Mathematical Association of America

This book leads readers from a basic foundation to an advanced level understanding of algebra, logic and combinatorics. Perfect for graduate or PhD mathematical-science students looking for help in understanding the fundamentals of the topic, it also explores more specific areas such as invariant theory of finite groups, model theory, and enumerative combinatorics.

Algebra, Logic and Combinatorics is the third volume of the LTCC Advanced Mathematics Series. This series is the first to provide advanced introductions to mathematical science topics to advanced students of mathematics. Edited by the three joint heads of the London Taught Course Centre for PhD Students in the Mathematical Sciences (LTCC), each book supports readers in broadening their mathematical knowledge outside of their immediate research disciplines while also covering specialized key areas.

Автор: Susan M. Cooper; Sean Sather-Wagstaff
Название: Connections Between Algebra, Combinatorics, and Geometry
ISBN: 1493948318 ISBN-13(EAN): 9781493948314
Издательство: Springer
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Цена: 16769.00 р.
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Описание: Commutative algebra, combinatorics, and algebraic geometry are thriving areas of mathematical research with a rich history of interaction. Connections Between Algebra, Combinatorics, and Geometry contains lecture notes, along with exercises and solutions, from the Workshop on Connections Between Algebra and Geometry held at the University of Regina from May 29-June 1, 2012. It also contains research and survey papers from academics invited to participate in the companion Special Session on Interactions Between Algebraic Geometry and Commutative Algebra, which was part of the CMS Summer Meeting at the University of Regina held June 2-3, 2012, and the meeting Further Connections Between Algebra and Geometry, which was held at the North Dakota State University, February 23, 2013. This volume highlights three mini-courses in the areas of commutative algebra and algebraic geometry: differential graded commutative algebra, secant varieties, and fat points and symbolic powers. It will serve as a useful resource for graduate students and researchers who wish to expand their knowledge of commutative algebra, algebraic geometry, combinatorics, and the intricacies of their intersection.--