Basic Modern Theory of Linear Complex Analytic $q$-Difference Equations, Jacques Sauloy
Автор: Carl D. Meyer Название: Matrix Analysis and Applied Linear Algebra ISBN: 1611977436 ISBN-13(EAN): 9781611977431 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 13042.00 р. Наличие на складе: Поставка под заказ.
Описание: This second edition has been almost completely rewritten to create a textbook designed so instructors can determine the degree of rigor and flexible enough for a one- or two-semester course. The author achieves this by increasing the level of sophistication as the text proceeds from traditional first principles in the early chapters to theory and applications in the later ones, and by ensuring that material at any point is not dependent on subsequent developments. While theorems and proofs are highlighted, the emphasis is on applications.
The author provides carefully constructed exercises ranging from easy to moderately challenging to difficult, many of which condition students for topics that follow. An accompanying book, Matrix Analysis and Applied Linear Algebra, Second Edition, Study and Solutions Guide, contains complete solutions and discussions of each exercise; and historical remarks that focus on the personalities of the individuals who created and contributed to the subject's development.
This book is designed for use in either a one- or two-term linear algebra course. It can also serve as a reference to anyone who needs to use or apply linear algebra.
This unique book's subject is meanders (connected, oriented, non-self-intersecting planar curves intersecting the horizontal line transversely) in the context of dynamical systems. By interpreting the transverse intersection points as vertices and the arches arising from these curves as directed edges, meanders are introduced from the graphtheoretical perspective. Supplementing the rigorous results, mathematical methods, constructions, and examples of meanders with a large number of insightful figures, issues such as connectivity and the number of connected components of meanders are studied in detail with the aid of collapse and multiple collapse, forks, and chambers. Moreover, the author introduces a large class of Morse meanders by utilizing the right and left one-shift maps, and presents connections to Sturm global attractors, seaweed and Frobenius Lie algebras, and the classical Yang-Baxter equation.
Описание: There is no recent elementary introduction to the theory of discrete dynamical systems that stresses the topological background of the topic. This book fills this gap: it deals with this theory as 'applied general topology'. We treat all important concepts needed to understand recent literature. The book is addressed primarily to graduate students. The prerequisites for understanding this book are modest: a certain mathematical maturity and course in General Topology are sufficient.
Автор: Michael Hitrik; Dmitry Tamarkin; Boris Tsygan; Ste Название: Algebraic and Analytic Microlocal Analysis ISBN: 3030015866 ISBN-13(EAN): 9783030015862 Издательство: Springer Рейтинг: Цена: 28051.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book presents contributions from two workshops in algebraic and analytic microlocal analysis that took place in 2012 and 2013 at Northwestern University. Featured papers expand on mini-courses and talks ranging from foundational material to advanced research-level papers, and new applications in symplectic geometry, mathematical physics, partial differential equations, and complex analysis are discussed in detail. Topics include Procesi bundles and symplectic reflection algebras, microlocal condition for non-displaceability, polarized complex manifolds, nodal sets of Laplace eigenfunctions, geodesics in the space of K?hler metrics, and partial Bergman kernels. This volume is a valuable resource for graduate students and researchers in mathematics interested in understanding microlocal analysis and learning about recent research in the area.
Автор: Lieberman Gary M. Название: Oblique Derivative Problems for Elliptic Equations ISBN: 9814452327 ISBN-13(EAN): 9789814452328 Издательство: World Scientific Publishing Рейтинг: Цена: 26136.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book gives an up-to-date exposition on the theory of oblique derivative problems for elliptic equations. The modern analysis of shock reflection was made possible by the theory of oblique derivative problems developed by the author. Such problems also arise in many other physical situations such as the shape of a capillary surface and problems of optimal transportation. The author begins the book with basic results for linear oblique derivative problems and work through the theory for quasilinear and nonlinear problems. The final chapter discusses some of the applications. In addition, notes to each chapter give a history of the topics in that chapter and suggestions for further reading.
Автор: Rodney Nillsen Название: Difference Spaces and Invariant Linear Forms ISBN: 3540583238 ISBN-13(EAN): 9783540583233 Издательство: Springer Рейтинг: Цена: 3048.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The aim of this text is to establish connections between Hilbert spaces and differential operators, singular integral operators and wavelets. It discusses aspects of these ideas which emphasize invariant linear forms on locally compact groups.
Описание: The book is the first book on complex matrix equations including the conjugate of unknown matrices. The study of these conjugate matrix equations is motivated by the investigations on stabilization and model reference tracking control for discrete-time antilinear systems, which are a particular kind of complex system with structure constraints. It proposes useful approaches to obtain iterative solutions or explicit solutions for several types of complex conjugate matrix equation. It observes that there are some significant differences between the real/complex matrix equations and the complex conjugate matrix equations. For example, the solvability of a real Sylvester matrix equation can be characterized by matrix similarity; however, the solvability of the con-Sylvester matrix equation in complex conjugate form is related to the concept of con-similarity. In addition, the new concept of conjugate product for complex polynomial matrices is also proposed in order to establish a unified approach for solving a type of complex matrix equation.
Автор: Wu Ai-Guo, Zhang Ying Название: Complex Conjugate Matrix Equations for Systems and Control ISBN: 9811092168 ISBN-13(EAN): 9789811092169 Издательство: Springer Рейтинг: Цена: 12196.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The book is the first book on complex matrix equations including the conjugate of unknown matrices. In addition, the new concept of conjugate product for complex polynomial matrices is also proposed in order to establish a unified approach for solving a type of complex matrix equation.
Автор: Aristide Halanay; Vlad Ionescu Название: Time-Varying Discrete Linear Systems ISBN: 3034896514 ISBN-13(EAN): 9783034896511 Издательство: Springer Рейтинг: Цена: 12196.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This research monograph contains a study of discrete-time nodes, the discrete counterpart of the theory elaborated by Bart, Gohberg and Kaashoek for the continuous case, discrete-time Lyapunov and Riccati equations, discrete-time Hamiltonian systems in connection with input-output operators and associated Hankel and Toeplitz operators.
Автор: P. M. Cohn Название: Linear Equations ISBN: 0710086334 ISBN-13(EAN): 9780710086334 Издательство: Springer Рейтинг: Цена: 10610.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: LINEAR equations play an important part, not only in mathe- matics itself, but also in many fields in which mathematics is used. The actual pro- cess of setting up the equations and of interpreting the solution is one which more properly belongs to that field, and in any case is a problem of a different nature altogether.
Автор: Charlotte Hardouin, Lucia Di Vizio Название: Intrinsic Approach to Galois Theory of $q$-Difference Equations ISBN: 1470453843 ISBN-13(EAN): 9781470453848 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 10659.00 р. Наличие на складе: Поставка под заказ.
Описание: The Galois theory of di?erence equations has witnessed a major evolution in the last two decades. In the particular case of q-di?erence equations, authors have introduced several di?erent Galois theories. In this memoir we consider an arithmetic approach to the Galois theory of q-di?erence equations and we use it to establish an arithmetical description of some of the Galois groups attached to q-di?erence systems.
Автор: Decio Levi; Rapha?l Rebelo; Pavel Winternitz Название: Symmetries and Integrability of Difference Equations ISBN: 3319566652 ISBN-13(EAN): 9783319566658 Издательство: Springer Рейтинг: Цена: 13415.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book shows how Lie group and integrability techniques, originally developed for differential equations, have been adapted to the case of difference equations.
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