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Exploring the Riemann Zeta Function, Hugh Montgomery; Ashkan Nikeghbali; Michael Th. Ra


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Автор: Hugh Montgomery; Ashkan Nikeghbali; Michael Th. Ra
Название:  Exploring the Riemann Zeta Function
ISBN: 9783319599687
Издательство: Springer
Классификация:







ISBN-10: 3319599682
Обложка/Формат: Hardcover
Страницы: 298
Вес: 0.61 кг.
Дата издания: 18.09.2017
Язык: English
Издание: 1st ed. 2017
Иллюстрации: 5 tables, color; 5 illustrations, color; 2 illustrations, black and white; viii, 272 p. 7 illus., 5 illus. in color.
Размер: 164 x 242 x 24
Читательская аудитория: Postgraduate, research & scholarly
Основная тема: Mathematics
Подзаголовок: 190 years from Riemann's Birth
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание:

Exploring the Riemann Zeta Function: 190 years from Riemanns Birth presents a collection of chapters contributed by eminent experts devoted to the Riemann Zeta Function, its generalizations, and their various applications to several scientific disciplines, including Analytic Number Theory, Harmonic Analysis, Complex Analysis, Probability Theory, and related subjects.

The book focuses on both old and new results towards the solution of long-standing problems as well as it features some key historical remarks. The purpose of this volume is to present in a unified way broad and deep areas of research in a self-contained manner. It will be particularly useful for graduate courses and seminars as well as it will make an excellent reference tool for graduate students and researchers in Mathematics, Cryptography, Mathematical Physics, and Engineering.




Автор: Eleuterio F. Toro
Название: Riemann Solvers and Numerical Methods for Fluid Dynamics
ISBN: 3642064388 ISBN-13(EAN): 9783642064388
Издательство: Springer
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Цена: 41925.00 р.
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Описание: High resolution upwind and centred methods are a mature generation of computational techniques applicable to a range of disciplines, Computational Fluid Dynamics being the most prominent. This book gives a practical presentation of this class of techniques.

Riemann`s Boundary Problem with Infinite Index

Автор: I.V. Ostrovskii; I.V. Ostrovskii; Yu.I. Lyubarskii
Название: Riemann`s Boundary Problem with Infinite Index
ISBN: 3764329998 ISBN-13(EAN): 9783764329990
Издательство: Springer
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Цена: 22354.00 р.
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Описание: PREFACE The classic statement of the Riemann boundary problem consists in finding a function (z) which is analytic and bounded in two domains D+ and D-, with a common boundary - a smooth closed contour L admitting a continuous extension onto L both from D+ and D- and satisfying on L the boundary condition +(t) = G(t)-(t) + g(t).

Generalized Analytic Functions on Riemann Surfaces

Автор: Yuri L. Rodin
Название: Generalized Analytic Functions on Riemann Surfaces
ISBN: 3540185720 ISBN-13(EAN): 9783540185727
Издательство: Springer
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Цена: 3487.00 р.
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Classification Theory of Riemann Surfaces

Автор: Leo Sario; Mitsuru Nakai
Название: Classification Theory of Riemann Surfaces
ISBN: 3642482716 ISBN-13(EAN): 9783642482717
Издательство: Springer
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Цена: 13974.00 р.
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Описание: The type problem evolved in the following somewhat overlapping steps: the Riemann mapping theorem, the classical type problem, and the existence of Green`s functions.

Ernst Equation and Riemann Surfaces

Автор: Christian Klein; Olaf Richter
Название: Ernst Equation and Riemann Surfaces
ISBN: 3642066771 ISBN-13(EAN): 9783642066771
Издательство: Springer
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Цена: 11099.00 р.
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Описание: Exact solutions to Einstein`s equations have been useful for the understanding of general relativity in many respects. They have led to such physical concepts as black holes and event horizons, and helped to visualize interesting features of the theory.

Riemann Surfaces

Автор: Hershel M. Farkas; Irwin Kra
Название: Riemann Surfaces
ISBN: 1461273919 ISBN-13(EAN): 9781461273912
Издательство: Springer
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Цена: 9781.00 р.
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Описание: This text covers Riemann surface theory from elementary aspects to the fontiers of current research. Topics covered include existence of meromorphic functions, the Riemann-Roch theorem, Abel`s theorem, the Jacobi inversion problem, Noether`s theorem, and the Riemann vanishing theorem.

The Riemann Boundary Problem on Riemann Surfaces

Автор: Y. Rodin
Название: The Riemann Boundary Problem on Riemann Surfaces
ISBN: 9027726531 ISBN-13(EAN): 9789027726537
Издательство: Springer
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Цена: 13275.00 р.
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Описание: Approach your problems from the right end It isn't that they can't see the solution. It is and begin with the answers. Then one day, that they can't see the problem. perhaps you will find the final question. G. K. Chesterton. The Scandal of Father 'The Hermit Clad in Crane Feathers' in R. Brown 'The point of a Pin'. van GuIik's The Chinese Maze Murders. Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the "tree" of knowledge of mathematics and related fields does not grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non-trivially) in regional and theoretical economics; algebraic geometry interacts with physics; the Minkowsky lemma, coding theory and the structure of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical programming profit from homotopy theory; Lie algebras are relevant to filtering; and prediction and electrical engineering can use Stein spaces. And in addition to this there are such new emerging subdisciplines as "experimental mathematics", "CFD", "completely integrable systems", "chaos, synergetics and large-scale order", which are almost impossible to fit into the existing classification schemes. They draw upon widely different sections of mathematics.

The Bloch–Kato Conjecture for the Riemann Zeta Function

Автор: Coates
Название: The Bloch–Kato Conjecture for the Riemann Zeta Function
ISBN: 1107492963 ISBN-13(EAN): 9781107492967
Издательство: Cambridge Academ
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Цена: 9029.00 р.
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Описание: An account of a significant body of recent work that resolves some long-standing mysteries concerning special values of the Riemann zeta function. It brings together many important results from K-theory, motivic cohomology, and Iwasawa theory, accessible at graduate level and above.

Spectral Theory of the Riemann Zeta-Function

Автор: Motohashi
Название: Spectral Theory of the Riemann Zeta-Function
ISBN: 0521058074 ISBN-13(EAN): 9780521058070
Издательство: Cambridge Academ
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Цена: 8554.00 р.
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Описание: Professor Motohashi shows that the Riemann zeta function is closely bound with automorphic forms and that many results from there can be woven with techniques and ideas from analytic number theory to yield new insights into, and views of, the function itself.

Computational Approach to Riemann Surfaces

Автор: Bobenko
Название: Computational Approach to Riemann Surfaces
ISBN: 3642174124 ISBN-13(EAN): 9783642174124
Издательство: Springer
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Цена: 6282.00 р.
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Описание: This volume offers a well-structured overview of existent computational approaches to Riemann surfaces and those currently in development. The authors of the contributions represent the groups providing publically available numerical codes in this field. Thus this volume illustrates which software tools are available and how they can be used in practice. In addition examples for solutions to partial differential equations and in surface theory are presented. The intended audience of this book is twofold. It can be used as a textbook for a graduate course in numerics of Riemann surfaces, in which case the standard undergraduate background, i.e., calculus and linear algebra, is required. In particular, no knowledge of the theory of Riemann surfaces is expected; the necessary background in this theory is contained in the Introduction chapter. At the same time, this book is also intended for specialists in geometry and mathematical physics applying the theory of Riemann surfaces in their research. It is the first book on numerics of Riemann surfaces that reflects the progress made in this field during the last decade, and it contains original results. There are a growing number of applications that involve the evaluation of concrete characteristics of models analytically described in terms of Riemann surfaces. Many problem settings and computations in this volume are motivated by such concrete applications in geometry and mathematical physics.

Limit Theorems for the Riemann Zeta-Function

Автор: Antanas Laurincikas
Название: Limit Theorems for the Riemann Zeta-Function
ISBN: 0792338243 ISBN-13(EAN): 9780792338246
Издательство: Springer
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Описание: This volume presents a range of results in analytic and probabilistic number theory. The full spectrum of limit theorems in the sense of weak convergence of probability measures for the modules of the Riemann zeta-function and other functions is given by Dirichlet series.

The Riemann Hypothesis for Function Fields

Автор: Frankenhuijsen
Название: The Riemann Hypothesis for Function Fields
ISBN: 1107685311 ISBN-13(EAN): 9781107685314
Издательство: Cambridge Academ
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Цена: 6019.00 р.
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Описание: A description of how non-commutative geometry could provide a means to attack the Riemann Hypothesis, one of the most important unsolved problems in mathematics. The book will be of interest to graduate students in analytic and algebraic number theory, and provides a strong foundation for further research in this area.


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