Modern Problems in Applied Analysis

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Publisher : Birkhäuser
ISBN 13 : 3319726404
Total Pages : 223 pages
Book Rating : 4.3/5 (197 download)

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Book Synopsis Modern Problems in Applied Analysis by : Piotr Drygaś

Download or read book Modern Problems in Applied Analysis written by Piotr Drygaś and published by Birkhäuser. This book was released on 2018-03-21 with total page 223 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book features a collection of recent findings in Applied Real and Complex Analysis that were presented at the 3rd International Conference “Boundary Value Problems, Functional Equations and Applications” (BAF-3), held in Rzeszow, Poland on 20-23 April 2016. The contributions presented here develop a technique related to the scope of the workshop and touching on the fields of differential and functional equations, complex and real analysis, with a special emphasis on topics related to boundary value problems. Further, the papers discuss various applications of the technique, mainly in solid mechanics (crack propagation, conductivity of composite materials), biomechanics (viscoelastic behavior of the periodontal ligament, modeling of swarms) and fluid dynamics (Stokes and Brinkman type flows, Hele-Shaw type flows). The book is addressed to all readers who are interested in the development and application of innovative research results that can help solve theoretical and real-world problems.

Computational Analysis of Structured Media

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Publisher : Academic Press
ISBN 13 : 0128110473
Total Pages : 330 pages
Book Rating : 4.1/5 (281 download)

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Book Synopsis Computational Analysis of Structured Media by : Simon Gluzman

Download or read book Computational Analysis of Structured Media written by Simon Gluzman and published by Academic Press. This book was released on 2017-09-20 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computational Analysis of Structured Media presents a systematical approach to analytical formulae for the effective properties of deterministic and random composites. Schwarz's method and functional equations yield for use in symbolic-numeric computations relevant to the effective properties. The work is primarily concerned with constructive topics of boundary value problems, complex analysis, and their applications to composites. Symbolic-numerical computations are widely used to deduce new formulae interesting for applied mathematicians and engineers. The main line of presentation is the investigation of two-phase 2D composites with non-overlapping inclusions randomly embedded in matrices. - Computational methodology for main classes of problems in structured media - Theory of Representative Volume Element - Combines exact results, Monte-Carlo simulations and Resummation techniques under one umbrella - Contains new analytical formulae obtained in the last ten years and it combines different asymptotic methods with the corresponding computer implementations

Analytic Number Theory, Approximation Theory, and Special Functions

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Publisher : Springer
ISBN 13 : 149390258X
Total Pages : 873 pages
Book Rating : 4.4/5 (939 download)

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Book Synopsis Analytic Number Theory, Approximation Theory, and Special Functions by : Gradimir V. Milovanović

Download or read book Analytic Number Theory, Approximation Theory, and Special Functions written by Gradimir V. Milovanović and published by Springer. This book was released on 2014-07-08 with total page 873 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book, in honor of Hari M. Srivastava, discusses essential developments in mathematical research in a variety of problems. It contains thirty-five articles, written by eminent scientists from the international mathematical community, including both research and survey works. Subjects covered include analytic number theory, combinatorics, special sequences of numbers and polynomials, analytic inequalities and applications, approximation of functions and quadratures, orthogonality and special and complex functions. The mathematical results and open problems discussed in this book are presented in a simple and self-contained manner. The book contains an overview of old and new results, methods, and theories toward the solution of longstanding problems in a wide scientific field, as well as new results in rapidly progressing areas of research. The book will be useful for researchers and graduate students in the fields of mathematics, physics and other computational and applied sciences.

Generalized Analytic Functions in Fractional Spaces

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Publisher : CRC Press
ISBN 13 : 9780582288614
Total Pages : 160 pages
Book Rating : 4.2/5 (886 download)

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Book Synopsis Generalized Analytic Functions in Fractional Spaces by : N K Bliev

Download or read book Generalized Analytic Functions in Fractional Spaces written by N K Bliev and published by CRC Press. This book was released on 1997-05-19 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book studies the foundations of the general theory of generalized analytic functions in fractional spaces. The employment of fractional spaces and embedding theorems support applications of the theory of generalized analytic functions. The results obtained are applicable to the theory of singular integral equations, boundary value problems for elliptic differential equations, functions of a complex variable, as well as the theory of plates and shells. The book will be of interest to scientific workers and specialists interested in these questions and likewise to advanced students in mechanical engineering faculties.

Applied Mechanics Reviews

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Publisher :
ISBN 13 :
Total Pages : 700 pages
Book Rating : 4.:/5 (26 download)

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Book Synopsis Applied Mechanics Reviews by :

Download or read book Applied Mechanics Reviews written by and published by . This book was released on 1968 with total page 700 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Topics in Analysis and its Applications

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Publisher : Springer Science & Business Media
ISBN 13 : 1402021283
Total Pages : 468 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Topics in Analysis and its Applications by : Grigor A. Barsegian

Download or read book Topics in Analysis and its Applications written by Grigor A. Barsegian and published by Springer Science & Business Media. This book was released on 2006-02-05 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt: Most topics dealt with here deal with complex analysis of both one and several complex variables. Several contributions come from elasticity theory. Areas covered include the theory of p-adic analysis, mappings of bounded mean oscillations, quasiconformal mappings of Klein surfaces, complex dynamics of inverse functions of rational or transcendental entire functions, the nonlinear Riemann-Hilbert problem for analytic functions with nonsmooth target manifolds, the Carleman-Bers-Vekua system, the logarithmic derivative of meromorphic functions, G-lines, computing the number of points in an arbitrary finite semi-algebraic subset, linear differential operators, explicit solution of first and second order systems in bounded domains degenerating at the boundary, the Cauchy-Pompeiu representation in L2 space, strongly singular operators of Calderon-Zygmund type, quadrature solutions to initial and boundary-value problems, the Dirichlet problem, operator theory, tomography, elastic displacements and stresses, quantum chaos, and periodic wavelets.

Encyclopaedia of Mathematics

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Publisher : Springer Science & Business Media
ISBN 13 : 9400959974
Total Pages : 525 pages
Book Rating : 4.4/5 (9 download)

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Book Synopsis Encyclopaedia of Mathematics by : Michiel Hazewinkel

Download or read book Encyclopaedia of Mathematics written by Michiel Hazewinkel and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 525 pages. Available in PDF, EPUB and Kindle. Book excerpt: This ENCYCLOPAEDIA OF MATHEMATICS aims to be a reference work for all parts of mathe matics. It is a translation with updates and editorial comments of the Soviet Mathematical Encyclopaedia published by 'Soviet Encyclopaedia Publishing House' in five volumes in 1977-1985. The annotated translation consists of ten volumes including a special index volume. There are three kinds of articles in this ENCYCLOPAEDIA. First of all there are survey-type articles dealing with the various main directions in mathematics (where a rather fine subdivi sion has been used). The main requirement for these articles has been that they should give a reasonably complete up-to-date account of the current state of affairs in these areas and that they should be maximally accessible. On the whole, these articles should be understandable to mathematics students in their first specialization years, to graduates from other mathematical areas and, depending on the specific subject, to specialists in other domains of science, en gineers and teachers of mathematics. These articles treat their material at a fairly general level and aim to give an idea of the kind of problems, techniques and concepts involved in the area in question. They also contain background and motivation rather than precise statements of precise theorems with detailed definitions and technical details on how to carry out proofs and constructions. The second kind of article, of medium length, contains more detailed concrete problems, results and techniques.

Handbook of Conformal Mappings and Applications

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Publisher : CRC Press
ISBN 13 : 135171872X
Total Pages : 841 pages
Book Rating : 4.3/5 (517 download)

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Book Synopsis Handbook of Conformal Mappings and Applications by : Prem K. Kythe

Download or read book Handbook of Conformal Mappings and Applications written by Prem K. Kythe and published by CRC Press. This book was released on 2019-03-04 with total page 841 pages. Available in PDF, EPUB and Kindle. Book excerpt: The subject of conformal mappings is a major part of geometric function theory that gained prominence after the publication of the Riemann mapping theorem — for every simply connected domain of the extended complex plane there is a univalent and meromorphic function that maps such a domain conformally onto the unit disk. The Handbook of Conformal Mappings and Applications is a compendium of at least all known conformal maps to date, with diagrams and description, and all possible applications in different scientific disciplines, such as: fluid flows, heat transfer, acoustics, electromagnetic fields as static fields in electricity and magnetism, various mathematical models and methods, including solutions of certain integral equations.

Functional Equations in Mathematical Analysis

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Publisher : Springer Science & Business Media
ISBN 13 : 1461400554
Total Pages : 744 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Functional Equations in Mathematical Analysis by : Themistocles M. Rassias

Download or read book Functional Equations in Mathematical Analysis written by Themistocles M. Rassias and published by Springer Science & Business Media. This book was released on 2011-09-18 with total page 744 pages. Available in PDF, EPUB and Kindle. Book excerpt: The stability problem for approximate homomorphisms, or the Ulam stability problem, was posed by S. M. Ulam in the year 1941. The solution of this problem for various classes of equations is an expanding area of research. In particular, the pursuit of solutions to the Hyers-Ulam and Hyers-Ulam-Rassias stability problems for sets of functional equations and ineqalities has led to an outpouring of recent research. This volume, dedicated to S. M. Ulam, presents the most recent results on the solution to Ulam stability problems for various classes of functional equations and inequalities. Comprised of invited contributions from notable researchers and experts, this volume presents several important types of functional equations and inequalities and their applications to problems in mathematical analysis, geometry, physics and applied mathematics. "Functional Equations in Mathematical Analysis" is intended for researchers and students in mathematics, physics, and other computational and applied sciences.

SIAM Journal on Scientific Computing

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Publisher :
ISBN 13 :
Total Pages : 1114 pages
Book Rating : 4.:/5 (318 download)

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Book Synopsis SIAM Journal on Scientific Computing by :

Download or read book SIAM Journal on Scientific Computing written by and published by . This book was released on 1998 with total page 1114 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Communications on Pure and Applied Mathematics

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Publisher :
ISBN 13 :
Total Pages : 762 pages
Book Rating : 4.3/5 (121 download)

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Book Synopsis Communications on Pure and Applied Mathematics by :

Download or read book Communications on Pure and Applied Mathematics written by and published by . This book was released on 1959-02 with total page 762 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Moduli of Families of Curves for Conformal and Quasiconformal Mappings

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Publisher : Springer Science & Business Media
ISBN 13 : 9783540438465
Total Pages : 228 pages
Book Rating : 4.4/5 (384 download)

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Book Synopsis Moduli of Families of Curves for Conformal and Quasiconformal Mappings by : Alexander Vasilʹev

Download or read book Moduli of Families of Curves for Conformal and Quasiconformal Mappings written by Alexander Vasilʹev and published by Springer Science & Business Media. This book was released on 2002-07-23 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: The monograph is concerned with the modulus of families of curves on Riemann surfaces and its applications to extremal problems for conformal, quasiconformal mappings, and the extension of the modulus onto Teichmller spaces. The main part of the monograph deals with extremal problems for compact classes of univalent conformal and quasiconformal mappings. Many of them are grouped around two-point distortion theorems. Montel's functions and functions with fixed angular derivatives are also considered. The last portion of problems is directed to the extension of the modulus varying the complex structure of the underlying Riemann surface that sheds some new light on the metric problems of Teichmller spaces.

Constructive Methods for Linear and Nonlinear Boundary Value Problems for Analytic Functions

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Publisher : CRC Press
ISBN 13 : 9781584880578
Total Pages : 300 pages
Book Rating : 4.8/5 (85 download)

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Book Synopsis Constructive Methods for Linear and Nonlinear Boundary Value Problems for Analytic Functions by : v Mityushev

Download or read book Constructive Methods for Linear and Nonlinear Boundary Value Problems for Analytic Functions written by v Mityushev and published by CRC Press. This book was released on 1999-11-29 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: Constructive methods developed in the framework of analytic functions effectively extend the use of mathematical constructions, both within different branches of mathematics and to other disciplines. This monograph presents some constructive methods-based primarily on original techniques-for boundary value problems, both linear and nonlinear. From among the many applications to which these methods can apply, the authors focus on interesting problems associated with composite materials with a finite number of inclusions. How far can one go in the solutions of problems in nonlinear mechanics and physics using the ideas of analytic functions? What is the difference between linear and nonlinear cases from the qualitative point of view? What kinds of additional techniques should one use in investigating nonlinear problems? Constructive Methods for Linear and Nonlinear Boundary Value Problems serves to answer these questions, and presents many results to Westerners for the first time. Among the most interesting of these is the complete solution of the Riemann-Hilbert problem for multiply connected domains. The results offered in Constructive Methods for Linear and Nonlinear Boundary Value Problems are prepared for direct application. A historical survey along with background material, and an in-depth presentation of practical methods make this a self-contained volume useful to experts in analytic function theory, to non-specialists, and even to non-mathematicians who can apply the methods to their research in mechanics and physics.

Index of Mathematical Papers

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Publisher :
ISBN 13 :
Total Pages : 628 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Index of Mathematical Papers by :

Download or read book Index of Mathematical Papers written by and published by . This book was released on 1973 with total page 628 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Boundary Value Problems

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Publisher : Courier Corporation
ISBN 13 : 9780486662756
Total Pages : 596 pages
Book Rating : 4.6/5 (627 download)

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Book Synopsis Boundary Value Problems by : F. D. Gakhov

Download or read book Boundary Value Problems written by F. D. Gakhov and published by Courier Corporation. This book was released on 1990-01-01 with total page 596 pages. Available in PDF, EPUB and Kindle. Book excerpt: A brilliant monograph, directed to graduate and advanced-undergraduate students, on the theory of boundary value problems for analytic functions and its applications to the solution of singular integral equations with Cauchy and Hilbert kernels. With exercises.

Russian Mathematical Surveys

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Publisher :
ISBN 13 :
Total Pages : 794 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Russian Mathematical Surveys by :

Download or read book Russian Mathematical Surveys written by and published by . This book was released on 1992 with total page 794 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Handbook of Complex Analysis

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Publisher : Elsevier
ISBN 13 : 0080532810
Total Pages : 549 pages
Book Rating : 4.0/5 (85 download)

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Book Synopsis Handbook of Complex Analysis by : Reiner Kuhnau

Download or read book Handbook of Complex Analysis written by Reiner Kuhnau and published by Elsevier. This book was released on 2002-12-05 with total page 549 pages. Available in PDF, EPUB and Kindle. Book excerpt: Geometric Function Theory is a central part of Complex Analysis (one complex variable). The Handbook of Complex Analysis - Geometric Function Theory deals with this field and its many ramifications and relations to other areas of mathematics and physics. The theory of conformal and quasiconformal mappings plays a central role in this Handbook, for example a priori-estimates for these mappings which arise from solving extremal problems, and constructive methods are considered. As a new field the theory of circle packings which goes back to P. Koebe is included. The Handbook should be useful for experts as well as for mathematicians working in other areas, as well as for physicists and engineers.· A collection of independent survey articles in the field of GeometricFunction Theory · Existence theorems and qualitative properties of conformal and quasiconformal mappings · A bibliography, including many hints to applications in electrostatics, heat conduction, potential flows (in the plane)