Extremal Problems And Inequalities Of Markov-Bernstein Type For Algebraic Polynomials, Gardner, Robert
Автор: Macdonald I. G. Название: Symmetric Functions and Hall Polynomials ISBN: 0198739125 ISBN-13(EAN): 9780198739128 Издательство: Oxford Academ Рейтинг: Цена: 8554.00 р. Наличие на складе: Поставка под заказ.
Описание: Reissued in the Oxford Classical Texts, this acclaimed second edition is nowadays the key resource on Macdonald polynomials, important for many research mathematicians.
Автор: Walker, Grant (university Of Manchester) Wood, Reginald M. W. (university Of Manchester) Название: Polynomials and the mod 2 steenrod algebra: volume 2, representations of gl (n,f2) ISBN: 1108414451 ISBN-13(EAN): 9781108414456 Издательство: Cambridge Academ Рейтинг: Цена: 12195.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This detailed two-volume reference on the Steenrod algebra and its various applications presents more than thirty years of research. This second volume broadens the discussion to include modular representations of matrix groups.
Автор: Andrei Bogatyrev; Nikolai Kruzhilin Название: Extremal Polynomials and Riemann Surfaces ISBN: 364244332X ISBN-13(EAN): 9783642443329 Издательство: Springer Рейтинг: Цена: 13275.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book develops the classical Chebyshev`s approach which gives analytical representation for the solution in terms of Riemann surfaces. It includes numerous problems, exercises, and illustrations.
Описание: Presents Szego type asymptotics for extremal polynomials associated with weights W(x) := exp (-Q(x)) on . This book contains proofs involving elementary complex analysis, and the theory of orthogonal and extremal polynomials. It should be of interest to research workers in approximation theory and orthogonal polynomials.
Inequalities and Extremal Problems in Probability and Statistics: Selected Topics presents various kinds of useful inequalities that are applicable in many areas of mathematics, the sciences, and engineering. The book enables the reader to grasp the importance of inequalities and how they relate to probability and statistics.
This will be an extremely useful book for researchers and graduate students in probability, statistics, and econometrics, as well as specialists working across sciences, engineering, financial mathematics, insurance, and mathematical modeling of large risks.
Teaches users how to understand useful inequalities
Applicable across mathematics, sciences, and engineering
Описание: This book proposes a unified method for the construction of near-minimizers for certain important functions, which arise in approximation, harmonic analysis and ill-posed problems and are most widely used in interpolation theory.
Автор: B.S. Stechkin; V.I. Baranov Название: Extremal Combinatorial Problems and Their Applications ISBN: 9401741220 ISBN-13(EAN): 9789401741224 Издательство: Springer Рейтинг: Цена: 6986.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: B.S. Stechkin; V.I. Baranov Название: Extremal Combinatorial Problems and Their Applications ISBN: 0792336313 ISBN-13(EAN): 9780792336310 Издательство: Springer Рейтинг: Цена: 13275.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Based on both translated Western sources and original Russian material, this book extends the extremal approach to the solution of a large class of problems, including some that were hitherto regarded as exclusively algorithmic, and broadens the choice of theoretical bases for modelling real phenomena in order to solve practical problems.
Автор: Lasserre Jean Bernard Название: Moments, Positive Polynomials And Their Applications ISBN: 1911299735 ISBN-13(EAN): 9781911299738 Издательство: World Scientific Publishing Цена: 9662.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
Many important applications in global optimization, algebra, probability and statistics, applied mathematics, control theory, financial mathematics, inverse problems, etc. can be modeled as a particular instance of the Generalized Moment Problem (GMP).
This book introduces a new general methodology to solve the GMP when its data are polynomials and basic semi-algebraic sets. This methodology combines semidefinite programming with recent results from real algebraic geometry to provide a hierarchy of semidefinite relaxations converging to the desired optimal value. Applied on appropriate cones, standard duality in convex optimization nicely expresses the duality between moments and positive polynomials.
In the second part, the methodology is particularized and described in detail for various applications, including global optimization, probability, optimal control, mathematical finance, multivariate integration, etc., and examples are provided for each particular application.
Автор: Peter Borwein; Tamas Erdelyi Название: Polynomials and Polynomial Inequalities ISBN: 1461269024 ISBN-13(EAN): 9781461269021 Издательство: Springer Рейтинг: Цена: 6986.00 р. 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: Graham Everest; Thomas Ward Название: Heights of Polynomials and Entropy in Algebraic Dynamics ISBN: 1849968543 ISBN-13(EAN): 9781849968546 Издательство: Springer Рейтинг: Цена: 9357.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Arithmetic geometry and algebraic dynamical systems are flourishing areas of mathematics. Both subjects have highly technical aspects, yet both of- fer a rich supply of down-to-earth examples. Both have much to gain from each other in techniques and, more importantly, as a means for posing (and sometimes solving) outstanding problems. It is unlikely that new graduate students will have the time or the energy to master both. This book is in- tended as a starting point for either topic, but is in content no more than an invitation. We hope to show that a rich common vein of ideas permeates both areas, and hope that further exploration of this commonality will result. Central to both topics is a notion of complexity. In arithmetic geome- try 'height' measures arithmetical complexity of points on varieties, while in dynamical systems 'entropy' measures the orbit complexity of maps. The con- nections between these two notions in explicit examples lie at the heart of the book. The fundamental objects which appear in both settings are polynomi- als, so we are concerned principally with heights of polynomials. By working with polynomials rather than algebraic numbers we avoid local heights and p-adic valuations.
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