Analytic Endomorphisms of the Riemann Sphere, Mario Roy, Mariusz Urbanski, Sara Munday

Автор: Kevin Broughan
Название: Equivalents of the Riemann Hypothesis: Volume 2, Analytic Equivalents
ISBN: 1107197120 ISBN-13(EAN): 9781107197121
Издательство: Cambridge Academ
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Цена: 155230.00 T
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Описание: This two-volume work presents the main known equivalents to the Riemann hypothesis, perhaps the most important problem in mathematics. Volume 2 covers equivalents with a strong analytic orientation and is supported by an extensive set of appendices.

Автор: Monastyrsky Michael I.
Название: Riemann, topology, and physics
ISBN: 0817647783 ISBN-13(EAN): 9780817647780
Издательство: Springer
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Цена: 55430.00 T
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Описание: The significantly expanded second edition of this book combines a fascinating account of the life and work of Bernhard Riemann with a lucid discussion of current interaction between topology and physics.

Автор: Yuri L. Rodin
Название: Generalized Analytic Functions on Riemann Surfaces
ISBN: 3540185720 ISBN-13(EAN): 9783540185727
Издательство: Springer
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Цена: 23250.00 T
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Автор: Mazur
Название: Prime Numbers and the Riemann Hypothesis
ISBN: 1107101921 ISBN-13(EAN): 9781107101920
Издательство: Cambridge Academ
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Цена: 55970.00 T
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Описание: This book introduces prime numbers and explains the celebrated, unsolved Riemann hypothesis in a direct manner. Suitable for both scholars and those with a minimal mathematical background.

Автор: Rudiger Gobel, Jan Trlifaj
Название: Approximations and Endomorphism Algebras of Modules: Volume 1 – Approximations / Volume 2 – Predictions
ISBN: 3111733203 ISBN-13(EAN): 9783111733203
Издательство: Walter de Gruyter
Цена: 494640.00 T
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Описание: This monograph– now in its second revised and extended edition– provides a thorough treatment of module theory, a subfield of algebra. The authors develop an approximation theory as well as realization theorems and present some of its recent applications, notably to infinite-dimensional combinatorics and model theory. The book starts from basic facts and gradually develops the theory towards its present frontiers. It is suitable both for graduate students interested in algebra and for experts in module and representation theory.

Автор: Ketcheson, David I. Leveque, Randall J. Razo, Mauricio J. Del
Название: Riemann problems and jupyter solutions
ISBN: 1611976200 ISBN-13(EAN): 9781611976205
Издательство: Mare Nostrum (Eurospan)
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Цена: 51410.00 T
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Описание: This book addresses an important class of mathematical problems (the Riemann problem) for first-order hyperbolic partial differential equations (PDEs), which arise when modeling wave propagation in applications such as fluid dynamics, traffic flow, acoustics, and elasticity.It covers the fundamental ideas related to classical Riemann solutions, including their special structure and the types of waves that arise, as well as the ideas behind fast approximate solvers for the Riemann problem.The emphasis is on the general ideas, but each chapter delves into a particular application. The book is available in electronic form as a collection of Jupyter notebooks that contain executable computer code and interactive figures and animations.

Автор: Bezuglyi
Название: Transfer Operators, Endomorphisms, and Measurable Partitions
ISBN: 3319924168 ISBN-13(EAN): 9783319924168
Издательство: Springer
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Цена: 37260.00 T
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Описание: The subject of this book stands at the crossroads of ergodic theory and measurable dynamics. With an emphasis on irreversible systems, the text presents a framework of multi-resolutions tailored for the study of endomorphisms, beginning with a systematic look at the latter. This entails a whole new set of tools, often quite different from those used for the “easier” and well-documented case of automorphisms. Among them is the construction of a family of positive operators (transfer operators), arising naturally as a dual picture to that of endomorphisms. The setting (close to one initiated by S. Karlin in the context of stochastic processes) is motivated by a number of recent applications, including wavelets, multi-resolution analyses, dissipative dynamical systems, and quantum theory. The automorphism-endomorphism relationship has parallels in operator theory, where the distinction is between unitary operators in Hilbert space and more general classes of operators such as contractions. There is also a non-commutative version: While the study of automorphisms of von Neumann algebras dates back to von Neumann, the systematic study of their endomorphisms is more recent; together with the results in the main text, the book includes a review of recent related research papers, some by the co-authors and their collaborators.

Автор: Min Qian; Jian-Sheng Xie; Shu Zhu
Название: Smooth Ergodic Theory for Endomorphisms
ISBN: 3642019536 ISBN-13(EAN): 9783642019531
Издательство: Springer
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Цена: 46540.00 T
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Описание: Ideal for researchers and graduate students, this volume sets out a general smooth ergodic theory for deterministic dynamical systems generated by non-invertible endomorphisms. Its focus is on the relations between entropy, Lyapunov exponents and dimensions.

Автор: Askar A. Tuganbaev
Название: Arithmetical Rings and Endomorphisms
ISBN: 3110658895 ISBN-13(EAN): 9783110658897
Издательство: Walter de Gruyter
Цена: 107790.00 T
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Описание: This book offers a comprehensive account of not necessarily commutative arithmetical rings, examining structural and homological properties of modules over arithmetical rings and summarising the interplay between arithmetical rings and other rings, whereas modules with extension properties of submodule endomorphisms are also studied in detail. Graduate students and researchers in ring and module theory will find this book particularly valuable.

Автор: Alberto Facchini
Название: Semilocal Categories and Modules with Semilocal Endomorphism Rings
ISBN: 3030232832 ISBN-13(EAN): 9783030232832
Издательство: Springer
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Цена: 121110.00 T
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Описание: This book collects and coherently presents the research that has been undertaken since the author’s previous book Module Theory (1998). In addition to some of the key results since 1995, it also discusses the development of much of the supporting material.In the twenty years following the publication of the Camps-Dicks theorem, the work of Facchini, Herbera, Shamsuddin, Puninski, Prihoda and others has established the study of serial modules and modules with semilocal endomorphism rings as one of the promising directions for module-theoretic research.Providing readers with insights into the directions in which the research in this field is moving, as well as a better understanding of how it interacts with other research areas, the book appeals to undergraduates and graduate students as well as researchers interested in algebra.

Автор: Rudiger Gobel, Jan Trlifaj
Название: Approximations and Endomorphism Algebras of Modules: Volume 1 – Approximations / Volume 2 – Predictions
ISBN: 3110218100 ISBN-13(EAN): 9783110218107
Издательство: Walter de Gruyter
Цена: 358270.00 T
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Описание: This second, revised and substantially extended edition of Approximations and Endomorphism Algebras of Modules reflects both the depth and the width of recent developments in the area since the first edition appeared in 2006. The new division of the monograph into two volumes roughly corresponds to its two central topics, approximation theory (Volume 1) and realization theorems for modules (Volume 2). It is a widely accepted fact that the category of all modules over a general associative ring is too complex to admit classification. Unless the ring is of finite representation type we must limit attempts at classification to some restricted subcategories of modules. The wild character of the category of all modules, or of one of its subcategories C, is often indicated by the presence of a realization theorem, that is, by the fact that any reasonable algebra is isomorphic to the endomorphism algebra of a module from C. This results in the existence of pathological direct sum decompositions, and these are generally viewed as obstacles to classification. In order to overcome this problem, the approximation theory of modules has been developed. The idea here is to select suitable subcategories C whose modules can be classified, and then to approximate arbitrary modules by those from C. These approximations are neither unique nor functorial in general, but there is a rich supply available appropriate to the requirements of various particular applications. The authors bring the two theories together. The first volume, Approximations, sets the scene in Part I by introducing the main classes of modules relevant here: the S-complete, pure-injective, Mittag-Leffler, and slender modules. Parts II and III of the first volume develop the key methods of approximation theory. Some of the recent applications to the structure of modules are also presented here, notably for tilting, cotilting, Baer, and Mittag-Leffler modules.In the second volume, Predictions, further basic instruments are introduced: the prediction principles, and their applications to proving realization theorems. Moreover, tools are developed there for answering problems motivated in algebraic topology. The authors concentrate on the impossibility of classification for modules over general rings. The wild character of many categories C of modules is documented here by the realization theorems that represent critical R-algebras over commutative rings R as endomorphism algebras of modules from C. The monograph starts from basic facts and gradually develops the theory towards its present frontiers. It is suitable both for graduate students interested in algebra and for experts in module and representation theory.

Автор: P.A. Krylov; Alexander V. Mikhalev; A.A. Tuganbaev
Название: Endomorphism Rings of Abelian Groups
ISBN: 9048163498 ISBN-13(EAN): 9789048163496
Издательство: Springer
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Цена: 93160.00 T
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Описание: Every Abelian group can be related to an associative ring with an identity element, the ring of all its endomorphisms. Recently the theory of endomor- phism rings of Abelian groups has become a rapidly developing area of algebra. On the one hand, it can be considered as a part of the theory of Abelian groups; on the other hand, the theory can be considered as a branch of the theory of endomorphism rings of modules and the representation theory of rings. There are several reasons for studying endomorphism rings of Abelian groups: first, it makes it possible to acquire additional information about Abelian groups themselves, to introduce new concepts and methods, and to find new interesting classes of groups; second, it stimulates further develop- ment of the theory of modules and their endomorphism rings. The theory of endomorphism rings can also be useful for studies of the structure of additive groups of rings, E-modules, and homological properties of Abelian groups. The books of Baer 52] and Kaplansky 245] have played an important role in the early development of the theory of endomorphism rings of Abelian groups and modules. Endomorphism rings of Abelian groups are much stu- died in monographs of Fuchs 170], 172], and 173]. Endomorphism rings are also studied in the works of Kurosh 287], Arnold 31], and Benabdallah 63].