Автор: Adams, Colin Название: Knot book ISBN: 0821836781 ISBN-13(EAN): 9780821836781 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 6803.00 р. Наличие на складе: Нет в наличии.
Описание: Knots are familiar objects. Yet the mathematical theory of knots quickly leads to deep results in topology and geometry. This work offers an introduction to this theory, starting with our understanding of knots. It presents the applications of knot theory to modern chemistry, biology and physics.
Автор: Chazal Название: The Structure and Stability of Persistence Modules ISBN: 3319425439 ISBN-13(EAN): 9783319425436 Издательство: Springer Рейтинг: Цена: 6986.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
This book is a comprehensive treatment of the theory of persistence modules over the real line. It presents a set of mathematical tools to analyse the structure and to establish the stability of such modules, providing a sound mathematical framework for the study of persistence diagrams. Completely self-contained, this brief introduces the notion of persistence measure and makes extensive use of a new calculus of quiver representations to facilitate explicit computations.
Appealing to both beginners and experts in the subject, The Structure and Stability of Persistence Modules provides a purely algebraic presentation of persistence, and thus complements the existing literature, which focuses mainly on topological and algorithmic aspects.
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.
Автор: Akio Kawauchi Название: A Survey of Knot Theory ISBN: 303489953X ISBN-13(EAN): 9783034899536 Издательство: Springer Рейтинг: Цена: 13969.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Knot theory is a rapidly developing field of research with many applications, not only for mathematics. The present volume, written by a well-known specialist, gives a complete survey of this theory from its very beginnings to today`s most recent research results. An indispensable book for everyone concerned with knot theory.
Автор: Bien Frederic V. Название: D-Modules and Spherical Representations. (MN-39): ISBN: 0691608326 ISBN-13(EAN): 9780691608327 Издательство: Wiley Рейтинг: Цена: 3802.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
The theory of D-modules deals with the algebraic aspects of differential equations. These are particularly interesting on homogeneous manifolds, since the infinitesimal action of a Lie algebra consists of differential operators. Hence, it is possible to attach geometric invariants, like the support and the characteristic variety, to representations of Lie groups. By considering D-modules on flag varieties, one obtains a simple classification of all irreducible admissible representations of reductive Lie groups. On the other hand, it is natural to study the representations realized by functions on pseudo-Riemannian symmetric spaces, i.e., spherical representations. The problem is then to describe the spherical representations among all irreducible ones, and to compute their multiplicities. This is the goal of this work, achieved fairly completely at least for the discrete series representations of reductive symmetric spaces. The book provides a general introduction to the theory of D-modules on flag varieties, and it describes spherical D-modules in terms of a cohomological formula. Using microlocalization of representations, the author derives a criterion for irreducibility. The relation between multiplicities and singularities is also discussed at length.
Originally published in 1990.
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