Описание: The main purpose of this book is to provide a detailed and comprehensive survey of the theory of singular integrals and Fourier multipliers on Lipschitz curves and surfaces, an area that has been developed since the 1980s.
Автор: Nahin, Paul J. Название: Inside Interesting Integrals ISBN: 1493912763 ISBN-13(EAN): 9781493912766 Издательство: Springer Рейтинг: Цена: 5309.00 р. Наличие на складе: Поставка под заказ.
Описание: What`s the point of calculating definite integrals since you can`t possibly do them all?.What makes doing the specific integrals in this book of value aren`t the specific answers we`ll obtain, but rather the methods we`ll use in obtaining those answers;
Автор: Kenneth Eriksson; Donald Estep; Claes Johnson Название: Applied Mathematics: Body and Soul ISBN: 364205658X ISBN-13(EAN): 9783642056581 Издательство: Springer Рейтинг: Цена: 6981.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
Applied Mathematics: Body & Soul is a mathematics education reform project developed at Chalmers University of Technology and includes a series of volumes and software. The program is motivated by the computer revolution opening new possibilities of computational mathematical modeling in mathematics, science and engineering. It consists of a synthesis of Mathematical Analysis (Soul), Numerical Computation (Body) and Application. Volumes I-III present a modern version of Calculus and Linear Algebra, including constructive/numerical techniques and applications intended for undergraduate programs in engineering and science. Further volumes present topics such as Dynamical Systems, Fluid Dynamics, Solid Mechanics and Electro-Magnetics on an advanced undergraduate/graduate level.
Volume I (Derivatives and Geometry in R3) presents basics of Calculus starting with the construction of the natural, rational, real and complex numbers, and proceeding to analytic geometry in two and three space dimensions, Lipschitz continuous functions and derivatives, together with a variety of applications.
Volume II (Integrals and Geometry in Rn) develops the Riemann integral as the solution to the problem of determining a function given its derivative, and proceeds to generalizations in the form of initial value problems for general systems of ordinary differential equations, including a variety of applications. Linear algebra including numerics is also presented.
Volume III (Calculus in Several Dimensions) presents Calculus in several variables including partial derivatives, multi-dimensional integrals, partial differential equations and finite element methods, together with a variety of applications modeled as systems of partial differential equations.
The authors are leading researchers in Computational Mathematics who have written various successful books.
Further information on Applied Mathematics: Body and Soul can be found at http: //www.phi.chalmers.se/bodysoul/.
Описание: This book proposes a unified method for the construction of near-minimizers for certain important functions, which arise in approximation, harmonic analysis and ill-posed problems and are most widely used in interpolation theory.
Автор: Adrian M. Gonzalez-Perez, Javier Parcet, Marius Junge Название: Singular Integrals in Quantum Euclidean Spaces ISBN: 1470449374 ISBN-13(EAN): 9781470449377 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 10659.00 р. Наличие на складе: Нет в наличии.
Описание: We shall establish the core of singular integral theory and pseudodifferential calculus over the archetypal algebras of noncommutative geometry: quantum forms of Euclidean spaces and tori. Our results go beyond Connes' pseudodifferential calculus for rotation algebras, thanks to a new form of Calder?on-Zygmund theory over these spaces which crucially incorporates nonconvolution kernels. We deduce Lp-boundedness and Sobolev p-estimates for regular, exotic and forbidden symbols in the expected ranks. In the L2 level both Calder?on-Vaillancourt and Bourdaud theorems for exotic and forbidden symbols are also generalized to the quantum setting. As a basic application of our methods, we prove Lp-regularity of solutions for elliptic PDEs.
Описание: This book focuses on a conjectural class of zeta integrals which arose from a program born in the work of Braverman and Kazhdan around the year 2000, the eventual goal being to prove the analytic continuation and functional equation of automorphic L-functions.Developing a general framework that could accommodate Schwartz spaces and the corresponding zeta integrals, the author establishes a formalism, states desiderata and conjectures, draws implications from these assumptions, and shows how known examples fit into this framework, supporting Sakellaridis' vision of the subject. The collected results, both old and new, and the included extensive bibliography, will be valuable to anyone who wishes to understand this program, and to those who are already working on it and want to overcome certain frequently occurring technical difficulties.
Автор: Ovidiu Furdui Название: Limits, Series, and Fractional Part Integrals ISBN: 1461467616 ISBN-13(EAN): 9781461467618 Издательство: Springer Рейтинг: Цена: 6986.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book offers tools for solving problems specializing in three topics of mathematical analysis: limits, series and fractional part integrals. Includes a section of Quickies: problems which have had uexpectedly succinct solutions, as well as Open Problems.
Описание: This monograph proposes a numerical integration method for nearly singular integrals over general curved surfaces, arising in three-dimensional boundary element analysis. The method is also applied to weakly singular and hypersingular integrals. A knowledge of calculus is assumed.
Автор: Jefferies Brian Raymond Frederick Название: Singular Bilinear Integrals ISBN: 9813207574 ISBN-13(EAN): 9789813207578 Издательство: World Scientific Publishing Рейтинг: Цена: 12830.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: 'This is a deep and beautiful monograph in functional analysis, at the interface with mathematical physics.'Mathematical ReviewsThe integration of vector valued functions with respect to vector valued measures, especially spectral measures, is developed in view of applications in operator theory, scattering theory and semiclassical approximation in quantum physics. New techniques are developed for bilinear integration in cases where the classical approach does not apply.
Автор: A.D. Egorov; P.I. Sobolevsky; L.A. Yanovich Название: Functional Integrals ISBN: 0792321936 ISBN-13(EAN): 9780792321934 Издательство: Springer Рейтинг: Цена: 15372.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Examines numerical approximation methods of continual integration. The approximate computation methods of functional integrals on a wide class of measures, including measures generated by homogeneous random processes with independent increments and Gaussian processes, are described systematically.
Автор: Ruffa Название: Innovative Integrals and Their Applications I ISBN: 303117870X ISBN-13(EAN): 9783031178702 Издательство: Springer Рейтинг: Цена: 18167.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book develops integral identities, mostly involving multidimensional functions and infinite limits of integration, whose evaluations are intractable by common means. It exposes a methodology based on the multivariate power substitution and its variants, assisted by the software tool Mathematica. The approaches introduced comprise the generalized method of exhaustion, the multivariate power substitution and its variants, and the use of permutation symmetry to evaluate definite integrals, which are very important both in their own right, and as necessary intermediate steps towards more involved computation. A key tenet is that such approaches work best when applied to integrals having certain characteristics as a starting point. Most integrals, if used as a starting point, will lead to no result at all, or will lead to a known result. However, there is a special class of integrals (i.e., innovative integrals) which, if used as a starting point for such approaches, will lead to new and useful results, and can also enable the reader to generate many other new results that are not in the book. The reader will find a myriad of novel approaches for evaluating integrals, with a focus on tools such as Mathematica as a means of obtaining useful results, and also checking whether they are already known. Results presented involve the gamma function, the hypergeometric functions, the complementary error function, the exponential integral function, the Riemann zeta function, and others that will be introduced as they arise. The book concludes with selected engineering applications, e.g., involving wave propagation, antenna theory, non-Gaussian and weighted Gaussian distributions, and other areas. The intended audience comprises junior and senior sciences majors planning to continue in the pure and applied sciences at the graduate level, graduate students in mathematics and the sciences, and junior and established researchers in mathematical physics, engineering, and mathematics. Indeed, the pedagogical inclination of the exposition will have students work out, understand, and efficiently use multidimensional integrals from first principles.
Автор: V.A. Vassiliev Название: Ramified Integrals, Singularities and Lacunas ISBN: 0792331931 ISBN-13(EAN): 9780792331933 Издательство: Springer Рейтинг: Цена: 15372.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Contains an introduction to the Picard-Lefschetz theory, which controls the ramification and qualitative behaviour of important functions of PDEs and integral geometry, and its foundations in singularity theory. This book treats solutions to problems of these theories.
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