Автор: Sergey E. Lyshevski Название: Engineering and Scientific Computations Using MATLAB ISBN: 0471462004 ISBN-13(EAN): 9780471462002 Издательство: Wiley Рейтинг: Цена: 11637.00 р. 16624.00-30% Наличие на складе: Есть (1 шт.) Описание: Helps readers understand the MATLAB environment, build their skills, and apply its features to a range of applications. This book guides readers through the most important aspects and basics of MATLAB programming and problem-solving from fundamentals to practice.
Автор: Rafal Ablamowicz; Joseph Parra; Pertti Lounesto Название: Clifford Algebras with Numeric and Symbolic Computations ISBN: 1461581591 ISBN-13(EAN): 9781461581598 Издательство: Springer Рейтинг: Цена: 6986.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
Clifford algebras are at a crossing point in a variety of research areas, including abstract algebra, crystallography, projective geometry, quantum mechanics, differential geometry and analysis. For many researchers working in this field in ma- thematics and physics, computer algebra software systems have become indispensable tools in theory and applications. This edited survey book consists of 20 chapters showing application of Clifford algebra in quantum mechanics, field theory, spinor calculations, projective geometry, Hypercomplex algebra, function theory and crystallography. Many examples of computations performed with a variety of readily available software programs are presented in detail, i.e., Maple, Mathematica, Axiom, etc. A key feature of the book is that it shows how scientific knowledge can advance with the use of computational tools and software.
Автор: M.A. Frumkin Название: Systolic Computations ISBN: 9401051097 ISBN-13(EAN): 9789401051095 Издательство: Springer Рейтинг: Цена: 13974.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: 'Et moi, .. " si j'avait su comment en revenir, je One service mathematics bas rendered the human race. It bas put common sense back n'y serais point aile.' where it belongs, on the topmost shelf next to Jules Verne the dusty canister labelled 'discarded nonsense' . Eric T. Bell The series is divergent; therefore we may be able to do something with it O. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and nonlineari- ties abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sci- ences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One ser- vice topology has rendered mathematical physics .. .'; 'One service logic has rendered computer science .. .'; 'One service category theory has rendered mathematics .. .'. All arguably true. And all statements obtainable this way form part of the raison d'ctre of this series.
Автор: David Eisenbud; Daniel R. Grayson; Mike Stillman; Название: Computations in Algebraic Geometry with Macaulay 2 ISBN: 3642075924 ISBN-13(EAN): 9783642075926 Издательство: Springer Рейтинг: Цена: 8378.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Systems of polynomial equations arise throughout mathematics, science, and engineering. Algebraic geometry provides powerful theoretical techniques for studying the qualitative and quantitative features of their solution sets. Re- cently developed algorithms have made theoretical aspects of the subject accessible to a broad range of mathematicians and scientists. The algorith- mic approach to the subject has two principal aims: developing new tools for research within mathematics, and providing new tools for modeling and solv- ing problems that arise in the sciences and engineering. A healthy synergy emerges, as new theorems yield new algorithms and emerging applications lead to new theoretical questions. This book presents algorithmic tools for algebraic geometry and experi- mental applications of them. It also introduces a software system in which the tools have been implemented and with which the experiments can be carried out. Macaulay 2 is a computer algebra system devoted to supporting research in algebraic geometry, commutative algebra, and their applications. The reader of this book will encounter Macaulay 2 in the context of concrete applications and practical computations in algebraic geometry. The expositions of the algorithmic tools presented here are designed to serve as a useful guide for those wishing to bring such tools to bear on their own problems. A wide range of mathematical scientists should find these expositions valuable. This includes both the users of other programs similar to Macaulay 2 (for example, Singular and CoCoA) and those who are not interested in explicit machine computations at all.
Описание: Presenting the proceedings of this international workshop, this text discusses the co-operation of different scientific communities in computational science, concentrating especially on many widely-used numerical algorithms and their applications on parallel computers.
Автор: Patrick DeWilde; Alle-Jan van der Veen Название: Time-Varying Systems and Computations ISBN: 0792381890 ISBN-13(EAN): 9780792381891 Издательство: Springer Рейтинг: Цена: 27245.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Provides a detailed exposition of a powerful unifying framework (developed by the authors) for the study of time-variant systems and the computational aspects and problems that arise in this context. This book shows the reader how the gap between analysis and linear algebra can be bridged.
Автор: ?ke Bj?rck Название: Numerical Methods in Matrix Computations ISBN: 3319356143 ISBN-13(EAN): 9783319356143 Издательство: Springer Рейтинг: Цена: 11179.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book offers a comprehensive and up-to-date treatment of modern methods in matrix computation. It uses a unified approach to direct and iterative methods for linear systems, least squares and eigenvalue problems.
Автор: Gebhard B?ckle; Gabor Wiese Название: Computations with Modular Forms ISBN: 3319354795 ISBN-13(EAN): 9783319354798 Издательство: Springer Рейтинг: Цена: 17468.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Part I Summer School: Lectures on Computing Cohomology of Arithmetic Groups by P.E. Gunnells.- Computing with Algebraic Automorphic Forms by D. Loeffler.- Overconvergent Modular Symbols by R. Pollack.- Part II Conference and Research Contributions: Congruence Subgroups, Cusps and Manin Symbols over Number Fields by J. E. Cremona and M. T. Aranйs.- Computing Weight One Modular Forms over C and Fp by K. Buzzard.- Lattice Methods for Algebraic Modular Forms on Classical Groups by M. Greenberg and J. Voight.- Efficient Computation of Rankin p-Adic L-Functions by A.G.B. Lauder.- Formes Modulaires Modulo 2 et Composantes Rйelles de Jacobiennes Modulaires by L.Merel.- Universal Hecke L-Series Associated with Cuspidal Eigenforms over Imaginary Quadratic Fields by A. Mohamed.- On Higher Congruences Between Cusp Forms and Eisenstein Series by B. Naskrecki.- Arithmetic Aspects of Bianchi Groups by M.H.Sengьn.- A Possible Generalization of Maeda's Conjecture by P. Tsaknias.- Computing Power Series Expansions of Modular Forms by J. Voight and J. Willis.- Computing Modular Forms for GL2 over Certain Number Fields by D. Yasaki.
Описание: Targeted audience - Specialists in numerical computations, especially in numerical optimiza- tion, who are interested in designing algorithms with automatie result ver- ification, and who would therefore be interested in knowing how general their algorithms caIi in principle be. - Mathematicians and computer scientists who are interested in the theory 0/ computing and computational complexity, especially computational com- plexity of numerical computations. - Students in applied mathematics and computer science who are interested in computational complexity of different numerical methods and in learning general techniques for estimating this computational complexity. The book is written with all explanations and definitions added, so that it can be used as a graduate level textbook. What this book .is about Data processing. In many real-life situations, we are interested in the value of a physical quantity y that is diflicult (or even impossible) to measure directly. For example, it is impossible to directly measure the amount of oil in an oil field or a distance to a star. Since we cannot measure such quantities directly, we measure them indirectly, by measuring some other quantities Xi and using the known relation between y and Xi'S to reconstruct y. The algorithm that transforms the results Xi of measuring Xi into an estimate fj for y is called data processing.
Описание: Describes for what classes of problems interval computations (ie data processing with automatic results verification) are feasible, and when they are intractable.
Автор: Efstratios Gallopoulos; Bernard Philippe; Ahmed H. Название: Parallelism in Matrix Computations ISBN: 9402403175 ISBN-13(EAN): 9789402403176 Издательство: Springer Рейтинг: Цена: 13059.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
This book is primarily intended as a research monograph that could also be used in graduate courses for the design of parallel algorithms in matrix computations.
It assumes general but not extensive knowledge of numerical linear algebra, parallel architectures, and parallel programming paradigms.
The book consists of four parts: (I) Basics; (II) Dense and Special Matrix Computations; (III) Sparse Matrix Computations; and (IV) Matrix functions and characteristics. Part I deals with parallel programming paradigms and fundamental kernels, including reordering schemes for sparse matrices. Part II is devoted to dense matrix computations such as parallel algorithms for solving linear systems, linear least squares, the symmetric algebraic eigenvalue problem, and the singular-value decomposition. It also deals with the development of parallel algorithms for special linear systems such as banded, Vandermonde, Toeplitz, and block Toeplitz systems. Part III addresses sparse matrix computations: (a) the development of parallel iterative linear system solvers with emphasis on scalable preconditioners, (b) parallel schemes for obtaining a few of the extreme eigenpairs or those contained in a given interval in the spectrum of a standard or generalized symmetric eigenvalue problem, and (c) parallel methods for computing a few of the extreme singular triplets. Part IV focuses on the development of parallel algorithms for matrix functions and special characteristics such as the matrix pseudospectrum and the determinant. The book also reviews the theoretical and practical background necessary when designing these algorithms and includes an extensive bibliography that will be useful to researchers and students alike.
The book brings together many existing algorithms for the fundamental matrix computations that have a proven track record of efficient implementation in terms of data locality and data transfer on state-of-the-art systems, as well as several algorithms that are presented for the first time, focusing on the opportunities for parallelism and algorithm robustness.
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