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Topics And Methods In Q-series, Mc Laughlin James


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Цена: 137280.00T
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Склад Америка: 157 шт.  
При оформлении заказа до: 2025-08-04
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Автор: Mc Laughlin James
Название:  Topics And Methods In Q-series
ISBN: 9789813224179
Издательство: World Scientific Publishing
Классификация:
ISBN-10: 9813224177
Обложка/Формат: Hardcover
Страницы: 400
Вес: 0.70 кг.
Дата издания: 01.11.2017
Серия: Monographs in number theory
Язык: English
Размер: 229 x 152 x 22
Читательская аудитория: Tertiary education (us: college)
Ключевые слова: Calculus & mathematical analysis, MATHEMATICS / Combinatorics,MATHEMATICS / Functional Analysis,MATHEMATICS / Mathematical Analysis
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Поставляется из: Англии
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The book provides a comprehensive introduction to the many aspects of the subject of basic hypergeometric series. The book essentially assumes no prior knowledge but eventually provides a comprehensive introduction to many important topics. After developing a treatment of historically important topics such as the q-binomial theorem, Heines transformation, the Jacobi triple product identity, Ramanujans 1-psi-1 summation formula, Baileys 6-psi-6 summation formula and the Rogers-Fine identity, the book goes on to delve more deeply into important topics such as Bailey- and WP-Bailey pairs and chains, q-continued fractions, and mock theta functions. There are also chapters on other topics such as Lambert series and combinatorial proofs of basic hypergeometric identities.

The book could serve as a textbook for the subject at the graduate level and as a textbook for a topic course at the undergraduate level (earlier chapters). It could also serve as a reference work for researchers in the area.



Numerical Methods for Conservation Laws

Автор: LeVeque Randall J.
Название: Numerical Methods for Conservation Laws
ISBN: 3764327235 ISBN-13(EAN): 9783764327231
Издательство: Springer
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Цена: 37260.00 T
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Описание: These notes were developed for a graduate-level course on the theory and numerical solution of nonlinear hyperbolic systems of conservation laws. Part I deals with the basic mathematical theory of the equations: the notion of weak solutions, entropy conditions, and a detailed description of the wave structure of solutions to the Riemann problem. The emphasis is on tools and techniques that are indispensable in developing good numerical methods for discontinuous solutions. Part II is devoted to the development of high resolution shock-capturing methods, including the theory of total variation diminishing (TVD) methods and the use of limiter functions. The book is intended for a wide audience, and will be of use both to numerical analysts and to computational researchers in a variety of applications.

Spectral Methods. Evolution to Complex Geometries and Applications to Fluid Dynamics

Автор: Claudio Canuto; M. Yousuff Hussaini; Alfio Quarter
Название: Spectral Methods. Evolution to Complex Geometries and Applications to Fluid Dynamics
ISBN: 3642433952 ISBN-13(EAN): 9783642433955
Издательство: Springer
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Цена: 93160.00 T
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Описание: Following up the seminal Spectral Methods in Fluid Dynamics, this book surveys the essential algorithmic and theoretical aspects of spectral methods for complex geometries. This is a companion book to Spectral Methods: Fundamentals in Single Domains, which discusses the fundamentals of the approximation of solutions to ordinary and partial differential equations on single domains by expansions in smooth, global basis functions.

Introduction to Perturbation Methods

Автор: Holmes Mark H
Название: Introduction to Perturbation Methods
ISBN: 146145476X ISBN-13(EAN): 9781461454762
Издательство: Springer
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Цена: 39130.00 T
Наличие на складе: Есть
Описание: Many of the excellent exercises are derived from problems of up-to-date research and are drawn from a wide range of application areas.One hundred new pages added including new material on transcedentally small terms, Kummer`s function, weakly coupled oscillators and wave interactions.

Advanced Boundary Element Methods

Автор: Joachim Gwinner , Ernst Peter Stephan
Название: Advanced Boundary Element Methods
ISBN: 3319920006 ISBN-13(EAN): 9783319920009
Издательство: Springer
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Цена: 83850.00 T
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Описание: This book is devoted to the mathematical analysis of the numerical solution of boundary integral equations treating boundary value, transmission and contact problems arising in elasticity, acoustic and electromagnetic scattering. It serves as the mathematical foundation of the boundary element methods (BEM) both for static and dynamic problems. The book presents a systematic approach to the variational methods for boundary integral equations including the treatment with variational inequalities for contact problems.

It also features adaptive BEM, hp-version BEM, coupling of finite and boundary element methods - efficient computational tools that have become extremely popular in applications. Familiarizing readers with tools like Mellin transformation and pseudodifferential operators as well as convex and nonsmooth analysis for variational inequalities, it concisely presents efficient, state-of-the-art boundary element approximations and points to up-to-date research. The authors are well known for their fundamental work on boundary elements and related topics, and this book is a major contribution to the modern theory of the BEM (especially for error controlled adaptive methods and for unilateral contact and dynamic problems) and is a valuable resource for applied mathematicians, engineers, scientists and graduate students.


Polyhedral Methods in Geosciences

Автор: Di Pietro Daniele Antonio, Formaggia Luca, Masson
Название: Polyhedral Methods in Geosciences
ISBN: 3030693627 ISBN-13(EAN): 9783030693626
Издательство: Springer
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Цена: 139750.00 T
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Описание: The last few years have witnessed a surge in the development and usage of discretization methods supporting general meshes in geoscience applications.

Computational Technologies: Advanced Topics

Автор: Petr N. Vabishchevich
Название: Computational Technologies: Advanced Topics
ISBN: 3110359944 ISBN-13(EAN): 9783110359947
Издательство: Walter de Gruyter
Цена: 61920.00 T
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Описание: This book discusses questions of numerical solutions of applied problems on parallel computing systems. Nowadays, engineering and scientific computations are carried out on parallel computing systems, which provide parallel data processing on a few computing nodes. In the development of up-to-date applied software, this feature of computers must be taken into account for the maximum efficient usage of their resources. In constructing computational algorithms, we should separate relatively independent subproblems in order to solve them on a single computing node.

Applied Numerical Methods with MATLAB

Автор: Chapra Steven C
Название: Applied Numerical Methods with MATLAB
ISBN: 0071086188 ISBN-13(EAN): 9780071086189
Издательство: McGraw-Hill
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Цена: 52610.00 T
Наличие на складе: Поставка под заказ.
Описание: Suitable for engineering and science students who need to learn numerical problem solving, this book introduces theory to inform key concepts which are framed in applications and demonstrated using MATLAB. It features chapters on Eigenvalues and Fourier Analysis and is accompanied by a set of m-files and instructor materials.

Numerical Methods for Fluid Dynamics

Автор: Durran
Название: Numerical Methods for Fluid Dynamics
ISBN: 1441964118 ISBN-13(EAN): 9781441964113
Издательство: Springer
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Цена: 74530.00 T
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Описание: The new title of this major revision of Numerical Methods for Wave Equations in Geophysical Fluid Dynamics conveys its broader scope. Aimed at those studying geophysical fluids, it also helps find numerical solutions to time-dependent differential equations.

Topological Methods in Data Analysis and Visualization

Автор: Pascucci
Название: Topological Methods in Data Analysis and Visualization
ISBN: 3642150136 ISBN-13(EAN): 9783642150135
Издательство: Springer
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Цена: 135090.00 T
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Описание: Topology-based methods are of increasing importance in the analysis and visualization of datasets from a wide variety of scientific domains such as biology, physics, engineering, and medicine. Current challenges of topology-based techniques include the management of time-dependent data, the representation of large and complex datasets, the characterization of noise and uncertainty, the effective integration of numerical methods with robust combinatorial algorithms, etc. . The editors have brought together the most prominent and best recognized researchers in the field of topology-based data analysis and visualization for a joint discussion and scientific exchange of the latest results in the field. This book contains the best 20 peer-reviewed papers resulting from the discussions and presentations at the third workshop on Topological Methods in Data Analysis and Visualization , held 2009 in Snowbird, Utah, US. The 2009 TopoInVis workshop follows the two successful workshops in 2005 (Slovakia) and 2007 (Germany).

Linear ordering problem

Автор: Marti, Rafael Reinelt, Gerhard
Название: Linear ordering problem
ISBN: 3642167284 ISBN-13(EAN): 9783642167287
Издательство: Springer
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Цена: 83850.00 T
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Описание: Faced with the challenge of solving the hard optimization problems that abound in the real world, existing methods often encounter great difficulties. Important applications in business, engineering or economics cannot be tackled by the techniques that have formed the predominant focus of academic research throughout the past three decades. Exact and heuristic approaches are dramatically changing our ability to solve problems of practical significance and are extending the frontier of problems that can be handled effectively. This monograph details state-of-the-art optimization methods, both exact and heuristic, for the LOP. The authors employ the LOP to illustrate contemporary optimization technologies as well as how to design successful implementations of exact and heuristic procedures. Therefore, they do not limit the scope of this book to the LOP, but on the contrary, provide the reader with the background and practical strategies in optimization to tackle different combinatorial problems.

Fractional Calculus in Soil Hydrology and Mechanics

Автор: Su, Ninghu
Название: Fractional Calculus in Soil Hydrology and Mechanics
ISBN: 1138491667 ISBN-13(EAN): 9781138491663
Издательство: Taylor&Francis
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Цена: 178640.00 T
Наличие на складе: Нет в наличии.
Описание: This book is an unique integrated treatise, on the concepts of fractional calculus as models with applications in hydrology, soil science and geomechanics. The self-contained book summaries the fundamentals for porous media and essential mathematics with extensive references supporting the development of the model and applications.

Advanced mathematical methods for scientists and engineers

Автор: Bender, Carl M. (washington University, Usa) Orsza
Название: Advanced mathematical methods for scientists and engineers
ISBN: 1441931872 ISBN-13(EAN): 9781441931870
Издательство: Springer
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Цена: 68900.00 T
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Описание: This book gives a clear, practical and self-contained presentation of the methods of asymptotics and perturbation theory and explains how to use these methods to obtain approximate analytical solutions to differential and difference equations. These methods allow one to analyze physics and engineering problems that may not be solvable in closed form and for which brute-force numerical methods may not converge to useful solutions. The objective of this book is to teaching the insights and problem-solving skills that are most useful in solving mathematical problems arising in the course of modern research. Intended for graduate students and advanced undergraduates, the book assumes only a limited familiarity with differential equations and complex variables. The presentation begins with a review of differential and difference equations; develops local asymptotic methods for differential and difference equations; explains perturbation and summation theory; and concludes with a an exposition of global asymptotic methods, including boundary-layer theory, WKB theory, and multiple-scale analysis. Emphasizing applications, the discussion stresses care rather than rigor and relies on many well-chosen examples to teach the reader how an applied mathematician tackles problems. There are 190 computer-generated plots and tables comparing approximate and exact solutions; over 600 problems, of varying levels of difficulty; and an appendix summarizing the properties of special functions.


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