Motivic Integration, Antoine Chambert-Loir; Johannes Nicaise; Julien Se
Автор: Hairer Название: Geometric numerical integration ISBN: 364205157X ISBN-13(EAN): 9783642051579 Издательство: Springer Рейтинг: Цена: 13974.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book covers numerical methods that preserve properties of Hamiltonian systems, reversible systems, differential equations on manifolds and problems with highly oscillatory solutions. The long-time behavior of the numerical solutions is studied using a backward error analysis combined with KAM theory.
Автор: David Spring Название: Convex Integration Theory ISBN: 3034898363 ISBN-13(EAN): 9783034898362 Издательство: Springer Рейтинг: Цена: 13974.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Gromov [17], is one of three general methods in immersion-theoretic topology for solving a broad range of problems in geometry and topology. These general methods are not linearly related in the sense that succes- sive methods subsumed the previous methods.
Автор: Haesemeyer Christian, Weibel Charles A. Название: The Norm Residue Theorem in Motivic Cohomology ISBN: 0691191042 ISBN-13(EAN): 9780691191041 Издательство: Wiley Рейтинг: Цена: 11880.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
This book presents the complete proof of the Bloch-Kato conjecture and several related conjectures of Beilinson and Lichtenbaum in algebraic geometry. Brought together here for the first time, these conjectures describe the structure of tale cohomology and its relation to motivic cohomology and Chow groups.
Although the proof relies on the work of several people, it is credited primarily to Vladimir Voevodsky. The authors draw on a multitude of published and unpublished sources to explain the large-scale structure of Voevodsky's proof and introduce the key figures behind its development. They proceed to describe the highly innovative geometric constructions of Markus Rost, including the construction of norm varieties, which play a crucial role in the proof. The book then addresses symmetric powers of motives and motivic cohomology operations.
Comprehensive and self-contained, The Norm Residue Theorem in Motivic Cohomology unites various components of the proof that until now were scattered across many sources of varying accessibility, often with differing hypotheses, definitions, and language.
Описание: This book analyzes and compares four closely related problems, namely linear programming, integer programming, linear integration, and linear summation (or counting). The book provides some new insights on duality concepts for integer programs.
Автор: Whitney Hassler Название: Geometric Integration Theory ISBN: 0691626707 ISBN-13(EAN): 9780691626703 Издательство: Wiley Рейтинг: Цена: 10296.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: A complete theory of integration as it appears in geometric and physical problems must include integration over oriented r-dimensional domains in n-space; both the integrand and the domain may be variable. This is the primary subject matter of the present book, designed to bring out the underlying geometric and analytic ideas and to give clear and
Автор: Kurusch Ebrahimi-Fard; Mar?a Barbero Li??n Название: Discrete Mechanics, Geometric Integration and Lie–Butcher Series ISBN: 3030131777 ISBN-13(EAN): 9783030131777 Издательство: Springer Рейтинг: Цена: 20962.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
This volume resulted from presentations given at the international “Brainstorming Workshop on New Developments in Discrete Mechanics, Geometric Integration and Lie–Butcher Series”, that took place at the Instituto de Ciencias Matem?ticas (ICMAT) in Madrid, Spain. It combines overview and research articles on recent and ongoing developments, as well as new research directions.Why geometric numerical integration? In their article of the same title Arieh Iserles and Reinout Quispel, two renowned experts in numerical analysis of differential equations, provide a compelling answer to this question. After this introductory chapter a collection of high-quality research articles aim at exploring recent and ongoing developments, as well as new research directions in the areas of geometric integration methods for differential equations, nonlinear systems interconnections, and discrete mechanics. One of the highlights is the unfolding of modern algebraic and combinatorial structures common to those topics, which give rise to fruitful interactions between theoretical as well as applied and computational perspectives. The volume is aimed at researchers and graduate students interested in theoretical and computational problems in geometric integration theory, nonlinear control theory, and discrete mechanics.
Автор: David Spring Название: Convex Integration Theory ISBN: 376435805X ISBN-13(EAN): 9783764358051 Издательство: Springer Рейтинг: Цена: 18161.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Provides a comprehensive study of convex integration theory in immersion-theoretic topology. This book presents a record and exposition of the basic concepts and technical results of convex integration theory in higher order jet spaces, including the theory of iterated convex hull extensions and the theory of relative h-principles.
Автор: Gunther Leobacher; Friedrich Pillichshammer Название: Introduction to Quasi-Monte Carlo Integration and Applications ISBN: 3319034243 ISBN-13(EAN): 9783319034249 Издательство: Springer Рейтинг: Цена: 8384.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book introduces the basic concepts of quasi-Monte Carlo methods for numerical integration and the theory behind them. It also presents methods currently used in research and discusses practical applications with an emphasis on finance-related problems.
Автор: Yekutieli Amnon Название: Nonabelian Multiplicative Integration On Surfaces ISBN: 9814663840 ISBN-13(EAN): 9789814663847 Издательство: World Scientific Publishing Рейтинг: Цена: 9187.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Nonabelian multiplicative integration on curves is a classical theory. This volume is about the 2-dimensional case, which is much more difficult.
Автор: Chambert-Loir Название: Motivic Integration ISBN: 1493978853 ISBN-13(EAN): 9781493978854 Издательство: Springer Рейтинг: Цена: 19564.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
This monograph focuses on the geometric theory of motivic integration, which takes its values in the Grothendieck ring of varieties. This theory is rooted in a groundbreaking idea of Kontsevich and was further developed by Denef & Loeser and Sebag. It is presented in the context of formal schemes over a discrete valuation ring, without any restriction on the residue characteristic. The text first discusses the main features of the Grothendieck ring of varieties, arc schemes, and Greenberg schemes. It then moves on to motivic integration and its applications to birational geometry and non-Archimedean geometry. Also included in the work is a prologue on p-adic analytic manifolds, which served as a model for motivic integration.
With its extensive discussion of preliminaries and applications, this book is an ideal resource for graduate students of algebraic geometry and researchers of motivic integration. It will also serve as a motivation for more recent and sophisticated theories that have been developed since.
Автор: John Greenlees Название: Axiomatic, Enriched and Motivic Homotopy Theory ISBN: 1402018339 ISBN-13(EAN): 9781402018336 Издательство: Springer Рейтинг: Цена: 29209.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Consists of a series of expository articles on axiomatic, enriched and motivic homotopy theory arising out of a NATO Advanced Study Institute at the Isaac Newton Institute for the Mathematical Sciences in Cambridge, UK in September 2002.
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