Описание: A description of the global properties of simply-connected spaces that are non-positively curved in the sense of A. Part I provides an introduction to the geometry of geodesic spaces, while Part II develops the basic theory of spaces with upper curvature bounds.
Автор: Sutherland, Wilson A Название: Introduction to Metric and Topological Spaces ISBN: 019956308X ISBN-13(EAN): 9780199563081 Издательство: Oxford Academ Рейтинг: Цена: 6810.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This fully updated new edition of Wilson Sutherland`s classic text, Introduction to Metric and Topological Spaces, establishes the language of metric and topological spaces with continuity as the motivating concept, before developing its discussion to cover compactness, connectedness, and completeness.
Автор: Lin Название: Generalized Metric Spaces and Mappings ISBN: 9462392153 ISBN-13(EAN): 9789462392151 Издательство: Springer Рейтинг: Цена: 15372.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
The idea of mutual classification of spaces and mappings is one of the main research directions of point set topology. In a systematical way, this book discusses the basic theory of generalized metric spaces by using the mapping method, and summarizes the most important research achievements, particularly those from Chinese scholars, in the theory of spaces and mappings since the 1960s. This book has three chapters, two appendices and a list of more than 400 references. The chapters are 'The origin of generalized metric spaces', 'Mappings on metric spaces' and 'Classes of generalized metric spaces'.
Graduates or senior undergraduates in mathematics major can use this book as their text to study the theory of generalized metric spaces. Researchers in this field can also use this book as a valuable reference.
Автор: Xianzhe Dai; Xiaochun Rong Название: Metric and Differential Geometry ISBN: 3034807538 ISBN-13(EAN): 9783034807531 Издательство: Springer Рейтинг: Цена: 19564.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The various contributions to this volume cover a broad range of topics in metric and differential geometry, including metric spaces, Ricci flow, Einstein manifolds, Kahler geometry, index theory, hypoelliptic Laplacian and analytic torsion.
Автор: Wilderich Tuschmann; David J. Wraith Название: Moduli Spaces of Riemannian Metrics ISBN: 3034809476 ISBN-13(EAN): 9783034809474 Издательство: Springer Рейтинг: Цена: 3492.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book studies certain spaces of Riemannian metrics on both compact and non-compact manifolds. These spaces are defined by various sign-based curvature conditions, with special attention paid to positive scalar curvature and non-negative sectional curvature, though we also consider positive Ricci and non-positive sectional curvature.
Автор: Martin R. Bridson; Andr? H?fliger Название: Metric Spaces of Non-Positive Curvature ISBN: 3642083994 ISBN-13(EAN): 9783642083990 Издательство: Springer Рейтинг: Цена: 16769.00 р. 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: 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: O. Hadzic; E. Pap Название: Fixed Point Theory in Probabilistic Metric Spaces ISBN: 9048158753 ISBN-13(EAN): 9789048158751 Издательство: Springer Рейтинг: Цена: 13974.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: Kashiwara Название: Regular and Irregular Holonomic D-Modules ISBN: 1316613453 ISBN-13(EAN): 9781316613450 Издательство: Cambridge Academ Рейтинг: Цена: 8395.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The theory of D-modules applies to many areas, including linear PDEs, group representation, algebraic geometry and mathematical physics. This book is the first devoted specifically to the most important variety, holonomic D-modules. It provides a complete unified treatment of the theory of holonomic D-modules, both regular and irregular.
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