Polynomial Rings and Affine Algebraic Geometry: Praag 2018, Tokyo, Japan, February 12-16, Kuroda Shigeru, Onoda Nobuharu, Freudenburg Gene

Автор: Bates
Название: Numerically Solving Polynomial Systems with Bertini
ISBN: 1611972698 ISBN-13(EAN): 9781611972696
Издательство: Mare Nostrum (Eurospan)
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Цена: 100710.00 T
Наличие на складе: Нет в наличии.
Описание: This book is a guide to concepts and practice in numerical algebraic geometry - the solution of systems of polynomial equations by numerical methods. Through numerous examples, the authors show how to apply the well-received and widely used open-source Bertini software package to compute solutions, including a detailed manual on syntax and usage options. The authors also maintain a complementary web page where readers can find supplementary materials and Bertini input files.Numerically Solving Polynomial Systems with Bertini approaches numerical algebraic geometry from a user's point of view with numerous examples of how Bertini is applicable to polynomial systems. It treats the fundamental task of solving a given polynomial system and describes the latest advances in the field, including algorithms for intersecting and projecting algebraic sets, methods for treating singular sets, the nascent field of real numerical algebraic geometry, and applications to large polynomial systems arising from differential equations.Those who wish to solve polynomial systems can start gently by finding isolated solutions to small systems, advance rapidly to using algorithms for finding positive-dimensional solution sets (curves, surfaces, etc.), and learn how to use parallel computers on large problems. These techniques are of interest to engineers and scientists in fields where polynomial equations arise, including robotics, control theory, economics, physics, numerical PDEs, and computational chemistry.

Автор: Masser
Название: Auxiliary Polynomials in Number Theory
ISBN: 1107061571 ISBN-13(EAN): 9781107061576
Издательство: Cambridge Academ
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Цена: 141510.00 T
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Описание: A unified account of various aspects of a simple, yet powerful, classical method, illustrated by applications in several areas of number theory. These include diophantine approximation and transcendence, along with exponential sums and counting problems in both finite fields and the field of rationals. Recommended for graduates and professionals.

Автор: Kuroda Shigeru, Onoda Nobuharu, Freudenburg Gene
Название: Polynomial Rings and Affine Algebraic Geometry: Praag 2018, Tokyo, Japan, February 12-16
ISBN: 303042135X ISBN-13(EAN): 9783030421359
Издательство: Springer
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Цена: 130430.00 T
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Описание: This proceedings volume gathers selected, peer-reviewed works presented at the Polynomial Rings and Affine Algebraic Geometry Conference, which was held at Tokyo Metropolitan University on February 12-16, 2018.

Автор: Peter Borwein; Tamas Erdelyi
Название: Polynomials and Polynomial Inequalities
ISBN: 1461269024 ISBN-13(EAN): 9781461269021
Издательство: Springer
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Цена: 46570.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Polynomials pervade mathematics, virtually every branch of mathematics from algebraic number theory and algebraic geometry to applied analysis and computer science, has a corpus of theory arising from polynomials. The material explored in this book primarily concerns polynomials as they arise in analysis; it focuses on polynomials and rational functions of a single variable. The book is self-contained and assumes at most a senior-undergraduate familiarity with real and complex analysis.
After an introduction to the geometry of polynomials and a discussion of refinements of the Fundamental Theorem of Algebra, the book turns to a consideration of various special polynomials. Chebyshev and Descartes systems are then introduced, and Muntz systems and rational systems are examined in detail. Subsequent chapters discuss denseness questions and the inequalities satisfied by polynomials and rational functions. Appendices on algorithms and computational concerns, on the interpolation theorem, and on orthogonality and irrationality conclude the book.

Автор: Karel Dekimpe
Название: Almost-Bieberbach Groups: Affine and Polynomial Structures
ISBN: 3540618996 ISBN-13(EAN): 9783540618997
Издательство: Springer
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Цена: 41880.00 T
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Описание: Starting from basic knowledge of nilpotent (Lie) groups, an algebraic theory of almost-Bieberbach groups, the fundamental groups of infra-nilmanifolds, is developed in this work.

Автор: Vui Ha Huy Et Al
Название: Genericity In Polynomial Optimization
ISBN: 1786342219 ISBN-13(EAN): 9781786342218
Издательство: World Scientific Publishing
Цена: 77090.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:

In full generality, minimizing a polynomial function over a closed semi-algebraic set requires complex mathematical equations. This book explains recent developments from singularity theory and semi-algebraic geometry for studying polynomial optimization problems. Classes of generic problems are defined in a simple and elegant manner by using only the two basic (and relatively simple) notions of Newton polyhedron and non-degeneracy conditions associated with a given polynomial optimization problem. These conditions are well known in singularity theory, however, they are rarely considered within the optimization community.

Explanations focus on critical points and tangencies of polynomial optimization, HOlderian error bounds for polynomial systems, Frank-Wolfe-type theorem for polynomial programs and well-posedness in polynomial optimization. It then goes on to look at optimization for the different types of polynomials. Through this text graduate students, PhD students and researchers of mathematics will be provided with the knowledge necessary to use semi-algebraic geometry in optimization.

Автор: Mora
Название: Solving Polynomial Equation Systems III
ISBN: 0521811554 ISBN-13(EAN): 9780521811552
Издательство: Cambridge Academ
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Цена: 121440.00 T
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Описание: This third volume of four describes all the most important techniques, mainly based on Groebner bases. It covers the `standard` solutions (Gianni-Kalkbrener, Auzinger-Stetter, Cardinal-Mourrain) as well as the more innovative (Lazard-Rouillier, Giusti-Heintz-Pardo). The author also explores the historical background, from Bezout to Macaulay.

Автор: Fiedler Thomas
Название: Polynomial One-cocycles For Knots And Closed Braids
ISBN: 9811210292 ISBN-13(EAN): 9789811210297
Издательство: World Scientific Publishing
Цена: 95040.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Traditionally, knot theory deals with diagrams of knots and the search of invariants of diagrams which are invariant under the well known Reidemeister moves. This book goes one step beyond: it gives a method to construct invariants for one parameter famillies of diagrams and which are invariant under 'higher' Reidemeister moves. Luckily, knots in 3-space, often called classical knots, can be transformed into knots in the solid torus without loss of information. It turns out that knots in the solid torus have a particular rich topological moduli space. It contains many 'canonical' loops to which the invariants for one parameter families can be applied, in order to get a new sort of invariants for classical knots.

Автор: David A. Cox
Название: Applications of Polynomial Systems
ISBN: 1470451379 ISBN-13(EAN): 9781470451370
Издательство: Mare Nostrum (Eurospan)
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Цена: 49330.00 T
Наличие на складе: Нет в наличии.
Описание: Systems of polynomial equations can be used to model an astonishing variety of phenomena. This book explores the geometry and algebra of such systems and includes numerous applications. The book begins with elimination theory from Newton to the twenty-first century and then discusses the interaction between algebraic geometry and numerical computations, a subject now called numerical algebraic geometry. The final three chapters discuss applications to geometric modeling, rigidity theory, and chemical reaction networks in detail. Each chapter ends with a section written by a leading expert.Examples in the book include oil wells, HIV infection, phylogenetic models, four-bar mechanisms, border rank, font design, Stewart-Gough platforms, rigidity of edge graphs, Gaussian graphical models, geometric constraint systems, and enzymatic cascades. The reader will encounter geometric objects such as Bezier patches, Cayley-Menger varieties, and toric varieties; and algebraic objects such as resultants, Rees algebras, approximation complexes, matroids, and toric ideals. Two important subthemes that appear in multiple chapters are toric varieties and algebraic statistics. The book also discusses the history of elimination theory, including its near elimination in the middle of the twentieth century.The main goal is to inspire the reader to learn about the topics covered in the book. With this in mind, the book has an extensive bibliography containing over 350 books and papers.

Автор: Lasserre
Название: An Introduction to Polynomial and Semi-Algebraic Optimization
ISBN: 1107060575 ISBN-13(EAN): 9781107060579
Издательство: Cambridge Academ
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Цена: 141510.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This is the first comprehensive introduction to the powerful moment approach for solving global optimization problems. Graduate students, engineers and researchers entering the field can use this book to understand, experiment with and master this new approach through the simple worked examples provided.

Автор: Lasserre
Название: An Introduction to Polynomial and Semi-Algebraic Optimization
ISBN: 110763069X ISBN-13(EAN): 9781107630697
Издательство: Cambridge Academ
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Цена: 48570.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This is the first comprehensive introduction to the powerful moment approach for solving global optimization problems. Graduate students, engineers and researchers entering the field can use this book to understand, experiment with and master this new approach through the simple worked examples provided.

Автор: Bogdan Ion, Siddhartha Sahi
Название: Double Affine Hecke Algebras and Congruence Groups
ISBN: 1470443260 ISBN-13(EAN): 9781470443269
Издательство: Mare Nostrum (Eurospan)
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Цена: 71060.00 T
Наличие на складе: Нет в наличии.