Автор: Titchmarsh, E.c. Название: Theory of the riemann zeta-function ISBN: 0198533691 ISBN-13(EAN): 9780198533696 Издательство: Oxford Academ Рейтинг: Цена: 23049 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The Riemann zeta-function is our most important tool in the study of prime numbers, and yet the famous "Riemann hypothesis" at its core remains unsolved. This book studies the theory from every angle and includes new material on recent work.
Описание: Offers an introduction to one of the most active research fields of complex analysis. This book underlines the main ideas of theorems and proofs, essential features of the subjects, lines of further developments, and problems and conjectures.
Автор: Vladislav V. Kravchenko Название: Applied Pseudoanalytic Function Theory ISBN: 3034600038 ISBN-13(EAN): 9783034600033 Издательство: Springer Рейтинг: Цена: 7424 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Features developments in pseudoanalytic function theory and their applications as well as multidimensional generalizations. This book is suitable for undergraduates, graduate students and researchers interested in complex-analytic methods, solution techniques for equations of mathematical physics, and partial and ordinary differential equations.
Автор: Smithies Название: Cauchy and the Creation of Complex Function Theory ISBN: 0521068878 ISBN-13(EAN): 9780521068871 Издательство: Cambridge Academ Рейтинг: Цена: 7591 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Dr Smithies analyses the process whereby Cauchy created the basic structure of complex function theory.
Автор: Motohashi Название: Spectral Theory of the Riemann Zeta-Function ISBN: 0521058074 ISBN-13(EAN): 9780521058070 Издательство: Cambridge Academ Рейтинг: Цена: 9218 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Monograph on most important topic in number theory.
Автор: Laurent-Thi?baut Название: Holomorphic Function Theory in Several Variables ISBN: 0857290290 ISBN-13(EAN): 9780857290298 Издательство: Springer Рейтинг: Цена: 7418 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book provides an introduction to complex analysis in several variables. The viewpoint of integral representation theory together with Grauert's bumping method offers a natural extension of single variable techniques to several variables analysis and leads rapidly to important global results. Applications focus on global extension problems for CR functions, such as the Hartogs-Bochner phenomenon and removable singularities for CR functions. Three appendices on differential manifolds, sheaf theory and functional analysis make the book self-contained. Each chapter begins with a detailed abstract, clearly demonstrating the structure and relations of following chapters. New concepts are clearly defined and theorems and propositions are proved in detail. Historical notes are also provided at the end of each chapter. Clear and succinct, this book will appeal to post-graduate students, young researchers seeking an introduction to holomorphic function theory in several variables and lecturers seeking a concise book on the subject.
Описание: Semismooth Newton methods are a modern class of remarkably powerful and versatile algorithms for solving constrained optimization problems with partial differential equations (PDEs), variational inequalities and related problems. This book provides a comprehensive presentation of these methods in function spaces, choosing a balance between thoroughly developed theory and numerical applications. Although largely self-contained, the book also covers recent developments such as state-constrained problems and offers new material on topics such as improved mesh independence results. The theory and methods are applied to a range of practically important problems, including: • optimal control of nonlinear elliptic differential equations • obstacle problems • flow control of instationary Navier–Stokes fluids In addition, the author covers adjoint-based derivative computation and the efficient solution of Newton systems by multigrid and preconditioned iterative methods.
Автор: Ivi? Название: The Theory of Hardy`s Z-Function ISBN: 1107028833 ISBN-13(EAN): 9781107028838 Издательство: Cambridge Academ Рейтинг: Цена: 18076 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Hardy's Z-function, related to the Riemann zeta-function ?(s), was originally utilised by G. H. Hardy to show that ?(s) has infinitely many zeros of the form ?+it. It is now amongst the most important functions of analytic number theory, and the Riemann hypothesis, that all complex zeros lie on the line ?+it, is perhaps one of the best known and most important open problems in mathematics. Today Hardy's function has many applications; among others it is used for extensive calculations regarding the zeros of ?(s). This comprehensive account covers many aspects of Z(t), including the distribution of its zeros, Gram points, moments and Mellin transforms. It features an extensive bibliography and end-of-chapter notes containing comments, remarks and references. The book also provides many open problems to stimulate readers interested in further research.
Автор: Adams Название: Function Spaces and Potential Theory ISBN: 3540570608 ISBN-13(EAN): 9783540570608 Издательство: Springer Рейтинг: Цена: 14849 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The subject of this book is the interplay between function space theory and potential theory. A crucial step in classical potential theory is the identification of
the potential energy of a charge with the square of a Hilbert space norm. This leads to the Dirichlet space of locally integrable functions whose gradients are square
integrable.
More recently, a generalized potential theory has been developed, which has an analogous relationship to the standard Banach function spaces, Sobolev spaces,
Besov spaces etc., that appear naturally in the study of partial differential equations. A surprisingly large part of classical potential theory has been extended to this nonlinear setting. The
extensions are sometimes surprising, usually they are nontrivial and have required new methods.
Автор: Edmunds David E., Evans W. Desmond Название: Hardy Operators, Function Spaces and Embeddings ISBN: 3540219722 ISBN-13(EAN): 9783540219729 Издательство: Springer Рейтинг: Цена: 14849 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Classical Sobolev spaces, based on Lebesgue spaces on an underlying domain with smooth boundary, are not only of considerable intrinsic interest but have for many years proved to be indispensible in the study of partial differential equations and variational problems. Many developments of the basic theory since its inception arise in response to concrete problems, for example, with the (ubiquitous) sets with fractal boundaries.The theory will probably enjoy substantial further growth, but even now a connected account of the mature parts of it makes a useful addition to the literature. Accordingly, the main themes of this book are Banach spaces and spaces of Sobolev type based on them; integral operators of Hardy type on intervals and on trees; and the distribution of the approximation numbers (singular numbers in the Hilbert space case) of embeddings of Sobolev spaces based on generalised ridged domains.This timely book will be of interest to all those concerned with the partial differential equations and their ramifications. A prerequisite for reading it is a good graduate course in real analysis.
Описание: Potential Function Methods For Approximately Solving Linear Programming Problems breaks new ground in linear programming theory. The book draws on the research developments in three broad areas: linear and integer programming, numerical analysis, and the computational architectures which enable speedy, high-level algorithm design. During the last ten years, a new body of research within the field of optimization research has emerged, which seeks to develop good approximation algorithms for classes of linear programming problems. This work both has roots in fundamental areas of mathematical programming and is also framed in the context of the modern theory of algorithms. The result of this work, in which Daniel Bienstock has been very much involved, has been a family of algorithms with solid theoretical foundations and with growing experimental success. This book will examine these algorithms, starting with some of the very earliest examples, and through the latest theoretical and computational developments.
Автор: Shoikhet D. Название: Semigroups in Geometrical Function Theory ISBN: 0792371119 ISBN-13(EAN): 9780792371113 Издательство: Springer Рейтинг: Цена: 14849 р. Наличие на складе: Есть у поставщика Поставка под заказ.
