An Introduction to Metric Spaces, Gopal Dhananjay, Deshmukh Aniruddha, Ranadive Abhay S.
Автор: Joseph K. Blitzstein, Jessica Hwang Название: Introduction to Probability, Second Edition ISBN: 1138369918 ISBN-13(EAN): 9781138369917 Издательство: Taylor&Francis Рейтинг: Цена: 74510.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Assumes one-semester of calculus. "Stories" make distributions (Normal, Binomial, Poisson that are widely-used in statistics) easier to remember, understand. Many books write down formulas without explaining clearly why these particular distributions are important or how they are all connected.
Автор: Gopal, Dhananjay , Deshmukh, Aniruddha , Ranadiv Название: An Introduction to Metric Spaces ISBN: 0367493489 ISBN-13(EAN): 9780367493486 Издательство: Taylor&Francis Рейтинг: Цена: 117390.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book is designed to provide an extensive understanding of Metric spaces. It presents the basics of metric spaces in a natural way which encourages geometric thinking.
Автор: Yeh, James J. Название: Metric in measure spaces ISBN: 9813200391 ISBN-13(EAN): 9789813200395 Издательство: World Scientific Publishing Рейтинг: Цена: 95040.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание:
Measure and metric are two fundamental concepts in measuring the size of a mathematical object. Yet there has been no systematic investigation of this relation. The book closes this gap.
Contents: Measure and Outer Measure; Construction of Outer Measures; Borel Measures; Hausdorff Measures; Covering Theorems; Differentiation of Measures; Averaging Operators and Differentiation of Integrals; Lebesgue Differentiation Theorem for Integrals; Hardy-Littlewood Maximal Functions; Density of Sets; Approximate Limit and Approximate Continuity; Lipschitz Mappings;
Readership: Mathematicians and graduate students in mathematics.
Автор: Martin R. Bridson; Andr? H?fliger Название: Metric Spaces of Non-Positive Curvature ISBN: 3642083994 ISBN-13(EAN): 9783642083990 Издательство: Springer Рейтинг: Цена: 111790.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: The purpose of this book is to describe the global properties of complete simply- connected spaces that are non-positively curved in the sense of A. D. Alexandrov and to examine the structure of groups that act properly on such spaces by isometries. Thus the central objects of study are metric spaces in which every pair of points can be joined by an arc isometric to a compact interval of the real line and in which every triangle satisfies the CAT(O) inequality. This inequality encapsulates the concept of non-positive curvature in Riemannian geometry and allows one to reflect the same concept faithfully in a much wider setting - that of geodesic metric spaces. Because the CAT(O) condition captures the essence of non-positive curvature so well, spaces that satisfy this condition display many of the elegant features inherent in the geometry of non-positively curved manifolds. There is therefore a great deal to be said about the global structure of CAT(O) spaces, and also about the structure of groups that act on them by isometries - such is the theme of this book. 1 The origins of our study lie in the fundamental work of A. D. Alexandrov .
Автор: Heinonen Название: Sobolev Spaces on Metric Measure Spaces ISBN: 1107092345 ISBN-13(EAN): 9781107092341 Издательство: Cambridge Academ Рейтинг: Цена: 137280.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Analysis on metric spaces is a field that has expanded dramatically since the 1990s. Written by some of the founders of the theory, this book provides a coherent treatment from first principles. It is an ideal introduction for graduate students and a useful reference for experts in the field.
Автор: Yeh James J. Название: Metric in Measure Spaces ISBN: 9813200405 ISBN-13(EAN): 9789813200401 Издательство: World Scientific Publishing Рейтинг: Цена: 58080.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание:
Measure and metric are two fundamental concepts in measuring the size of a mathematical object. Yet there has been no systematic investigation of this relation. The book closes this gap.
Contents: Measure and Outer Measure; Construction of Outer Measures; Borel Measures; Hausdorff Measures; Covering Theorems; Differentiation of Measures; Averaging Operators and Differentiation of Integrals; Lebesgue Differentiation Theorem for Integrals; Hardy-Littlewood Maximal Functions; Density of Sets; Approximate Limit and Approximate Continuity; Lipschitz Mappings;
Readership: Mathematicians and graduate students in mathematics.
Автор: Luigi Ambrosio, Andrea Mondino, Giuseppe Savare Название: Nonlinear Diffusion Equations and Curvature Conditions in Metric Measure Spaces ISBN: 1470439131 ISBN-13(EAN): 9781470439132 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 76690.00 T Наличие на складе: Невозможна поставка. Описание: Provides new characterizations of the curvature dimension condition in the context of metric measure spaces $(X,\mathsf d,\mathfrak m)$. The authors` approach takes into account suitable weighted action functionals, and uses the nonlinear diffusion semigroup induced by the $N$-dimensional entropy, in place of the heat flow
Автор: Alexander Zaslavski Название: Optimization on Metric and Normed Spaces ISBN: 0387886206 ISBN-13(EAN): 9780387886206 Издательство: Springer Рейтинг: Цена: 153720.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Covering recent work on Banach and complete metric spaces, this book uses the Baire approach and considers approximate solutions. It presents new results including penalty methods in constrained optimization and extant solutions in parametric optimization.
The aim of these lecture notes is to propose a systematic framework for geometry and analysis on metric spaces. The central notion is a partition (an iterated decomposition) of a compact metric space. Via a partition, a compact metric space is associated with an infinite graph whose boundary is the original space. Metrics and measures on the space are then studied from an integrated point of view as weights of the partition. In the course of the text:
It is shown that a weight corresponds to a metric if and only if the associated weighted graph is Gromov hyperbolic.
Various relations between metrics and measures such as bilipschitz equivalence, quasisymmetry, Ahlfors regularity, and the volume doubling property are translated to relations between weights. In particular, it is shown that the volume doubling property between a metric and a measure corresponds to a quasisymmetry between two metrics in the language of weights.
The Ahlfors regular conformal dimension of a compact metric space is characterized as the critical index of p-energies associated with the partition and the weight function corresponding to the metric.
These notes should interest researchers and PhD students working in conformal geometry, analysis on metric spaces, and related areas.
Автор: Aad Dijksma; Israel Gohberg; Marinus A. Kaashoek; Название: Contributions to Operator Theory in Spaces with an Indefinite Metric ISBN: 3034897820 ISBN-13(EAN): 9783034897822 Издательство: Springer Рейтинг: Цена: 46570.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This volume is dedicated to Heinz Langer, a leading expert in spectral analysis and its applications, in particular to operators in spaces with an indefinite metric, on the occasion of his 60th birthday.The book begins with his biography and list of publications.
Автор: Gromov, Mikhail Название: Metric structures for riemannian and non-riemannian spaces ISBN: 0817645829 ISBN-13(EAN): 9780817645823 Издательство: Springer Рейтинг: Цена: 102480.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book is an English translation of the famous "Green Book" by Lafontaine and Pansu (1979).
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