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Introduction To The Network Approximation Method For Materials Modeling
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Book Synopsis Introduction to the Network Approximation Method for Materials Modeling by : Leonid Berlyand
Download or read book Introduction to the Network Approximation Method for Materials Modeling written by Leonid Berlyand and published by Cambridge University Press. This book was released on 2013 with total page 259 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduces graduate students to the state of the art in this fast-developing field of applied mathematics.
Book Synopsis Introduction to Mathematical Modeling and Computer Simulations by : Vladimir Mityushev
Download or read book Introduction to Mathematical Modeling and Computer Simulations written by Vladimir Mityushev and published by CRC Press. This book was released on 2018-02-19 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction to Mathematical Modeling and Computer Simulations is written as a textbook for readers who want to understand the main principles of Modeling and Simulations in settings that are important for the applications, without using the profound mathematical tools required by most advanced texts. It can be particularly useful for applied mathematicians and engineers who are just beginning their careers. The goal of this book is to outline Mathematical Modeling using simple mathematical descriptions, making it accessible for first- and second-year students.
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
Book Synopsis Introduction to the Network Approximation Method for Materials Modeling by : Leonid Berlyand
Download or read book Introduction to the Network Approximation Method for Materials Modeling written by Leonid Berlyand and published by . This book was released on 2014-05-14 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduces graduate students to the state of the art in this fast-developing field of applied mathematics.
Book Synopsis 2D and Quasi-2D Composite and Nanocomposite Materials by : Ross McPhedran
Download or read book 2D and Quasi-2D Composite and Nanocomposite Materials written by Ross McPhedran and published by Elsevier. This book was released on 2020-06-05 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: 2D and Quasi-2D Composite and Nanocomposite Materials: Theory, Properties and Photonic Applications covers the theory, characterization and computational modeling of 2D composite materials and shows how they are used for the creation of materials for 3D structures The book covers three major themes: - Properties of 2D and quasi-2D composites are discussed in the context of homogenization theory. Homogenization results are discussed for spatiotemporal material composites assembled from materials which are distributed on a micro-scale in space and in time. - New types of transport phenomena and localization in random media are addressed, with particular attention to the non-reciprocity of transport coefficients. - Plasmonics and magneto-optics are also of particular interest. Magneto-transport and sub-wavelength resolution in electromagnetic and acoustic imaging are further considered. This book is an important resource for materials scientists and engineers working on nanomaterials, photonic composites, and materials theory, modeling and simulations. - Outlines major modelling techniques of 2D nanocomposites for photonic applications - Explores how the properties of 2D nanocomposites make them suitable for use for building 3D structures - Assesses the challenges of using 2D nanocomposites for designing new devices on a mass scale
Book Synopsis Mathematics Without Boundaries by : Panos M. Pardalos
Download or read book Mathematics Without Boundaries written by Panos M. Pardalos and published by Springer. This book was released on 2014-09-16 with total page 648 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume consists of chapters written by eminent scientists and engineers from the international community and present significant advances in several theories, methods and applications of an interdisciplinary research. These contributions focus on both old and recent developments of Global Optimization Theory, Convex Analysis, Calculus of Variations, Discrete Mathematics and Geometry, as well as several applications to a large variety of concrete problems, including applications of computers to the study of smoothness and analyticity of functions, applications to epidemiological diffusion, networks, mathematical models of elastic and piezoelectric fields, optimal algorithms, stability of neutral type vector functional differential equations, sampling and rational interpolation for non-band-limited signals, recurrent neural network for convex optimization problems and experimental design. The book also contains some review works, which could prove particularly useful for a broader audience of readers in Mathematical and Engineering subjects and especially to graduate students who search for the latest information.
Book Synopsis Variational Methods for Nonlocal Fractional Problems by : Giovanni Molica Bisci
Download or read book Variational Methods for Nonlocal Fractional Problems written by Giovanni Molica Bisci and published by Cambridge University Press. This book was released on 2016-03-11 with total page 401 pages. Available in PDF, EPUB and Kindle. Book excerpt: A thorough graduate-level introduction to the variational analysis of nonlinear problems described by nonlocal operators.
Book Synopsis Current Trends in Analysis, its Applications and Computation by : Paula Cerejeiras
Download or read book Current Trends in Analysis, its Applications and Computation written by Paula Cerejeiras and published by Springer Nature. This book was released on 2022-10-03 with total page 663 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the contributions of the participants of the 12th ISAAC congress which was held at the University of Aveiro, Portugal, from July 29 to August 3, 2019. These contributions originate from the following sessions: Applications of dynamical systems theory in biology, Complex Analysis and Partial Differential Equations, Complex Geometry, Complex Variables and Potential Theory, Constructive Methods in the Theory of Composite and Porous Media, Function Spaces and Applications, Generalized Functions and Applications, Geometric & Regularity Properties of Solutions to Elliptic and Parabolic PDEs, Geometries Defined by Differential Forms, Partial Differential Equations on Curved Spacetimes, Partial Differential Equations with Nonstandard Growth, Quaternionic and Clifford Analysis, Recent Progress in Evolution Equations, Wavelet theory and its Related Topics.
Book Synopsis Handbook of Functional Equations by : Themistocles M. Rassias
Download or read book Handbook of Functional Equations written by Themistocles M. Rassias and published by Springer. This book was released on 2014-11-18 with total page 555 pages. Available in PDF, EPUB and Kindle. Book excerpt: As Richard Bellman has so elegantly stated at the Second International Conference on General Inequalities (Oberwolfach, 1978), “There are three reasons for the study of inequalities: practical, theoretical, and aesthetic.” On the aesthetic aspects, he said, “As has been pointed out, beauty is in the eye of the beholder. However, it is generally agreed that certain pieces of music, art, or mathematics are beautiful. There is an elegance to inequalities that makes them very attractive.” The content of the Handbook focuses mainly on both old and recent developments on approximate homomorphisms, on a relation between the Hardy–Hilbert and the Gabriel inequality, generalized Hardy–Hilbert type inequalities on multiple weighted Orlicz spaces, half-discrete Hilbert-type inequalities, on affine mappings, on contractive operators, on multiplicative Ostrowski and trapezoid inequalities, Ostrowski type inequalities for the Riemann–Stieltjes integral, means and related functional inequalities, Weighted Gini means, controlled additive relations, Szasz–Mirakyan operators, extremal problems in polynomials and entire functions, applications of functional equations to Dirichlet problem for doubly connected domains, nonlinear elliptic problems depending on parameters, on strongly convex functions, as well as applications to some new algorithms for solving general equilibrium problems, inequalities for the Fisher’s information measures, financial networks, mathematical models of mechanical fields in media with inclusions and holes.
Book Synopsis Getting Acquainted with Homogenization and Multiscale by : Leonid Berlyand
Download or read book Getting Acquainted with Homogenization and Multiscale written by Leonid Berlyand and published by Springer. This book was released on 2018-11-22 with total page 187 pages. Available in PDF, EPUB and Kindle. Book excerpt: The objective of this book is to navigate beginning graduate students in mathematics and engineering through a mature field of multiscale problems in homogenization theory and to provide an idea of its broad scope. An overview of a wide spectrum of homogenization techniques ranging from classical two-scale asymptotic expansions to Gamma convergence and the rapidly developing field of stochastic homogenization is presented. The mathematical proofs and definitions are supplemented with intuitive explanations and figures to make them easier to follow. A blend of mathematics and examples from materials science and engineering is designed to teach a mixed audience of mathematical and non-mathematical students.
Book Synopsis Mathematics of the Bond Market: A Lévy Processes Approach by : Michał Barski
Download or read book Mathematics of the Bond Market: A Lévy Processes Approach written by Michał Barski and published by Cambridge University Press. This book was released on 2020-04-23 with total page 401 pages. Available in PDF, EPUB and Kindle. Book excerpt: Analyses bond market models with Lévy stochastic factors, suitable for graduates and researchers in probability and mathematical finance.
Author :Manuel Domínguez de la Iglesia Publisher :Cambridge University Press ISBN 13 :1009035207 Total Pages :348 pages Book Rating :4.0/5 (9 download)
Book Synopsis Orthogonal Polynomials in the Spectral Analysis of Markov Processes by : Manuel Domínguez de la Iglesia
Download or read book Orthogonal Polynomials in the Spectral Analysis of Markov Processes written by Manuel Domínguez de la Iglesia and published by Cambridge University Press. This book was released on 2021-10-21 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: In pioneering work in the 1950s, S. Karlin and J. McGregor showed that probabilistic aspects of certain Markov processes can be studied by analyzing orthogonal eigenfunctions of associated operators. In the decades since, many authors have extended and deepened this surprising connection between orthogonal polynomials and stochastic processes. This book gives a comprehensive analysis of the spectral representation of the most important one-dimensional Markov processes, namely discrete-time birth-death chains, birth-death processes and diffusion processes. It brings together the main results from the extensive literature on the topic with detailed examples and applications. Also featuring an introduction to the basic theory of orthogonal polynomials and a selection of exercises at the end of each chapter, it is suitable for graduate students with a solid background in stochastic processes as well as researchers in orthogonal polynomials and special functions who want to learn about applications of their work to probability.
Book Synopsis The Banach–Tarski Paradox by : Grzegorz Tomkowicz
Download or read book The Banach–Tarski Paradox written by Grzegorz Tomkowicz and published by Cambridge University Press. This book was released on 2016-06-14 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Banach–Tarski Paradox is a most striking mathematical construction: it asserts that a solid ball can be taken apart into finitely many pieces that can be rearranged using rigid motions to form a ball twice as large. This volume explores the consequences of the paradox for measure theory and its connections with group theory, geometry, set theory, and logic. This new edition of a classic book unifies contemporary research on the paradox. It has been updated with many new proofs and results, and discussions of the many problems that remain unsolved. Among the new results presented are several unusual paradoxes in the hyperbolic plane, one of which involves the shapes of Escher's famous 'Angel and Devils' woodcut. A new chapter is devoted to a complete proof of the remarkable result that the circle can be squared using set theory, a problem that had been open for over sixty years.
Book Synopsis Aperiodic Order: Volume 2, Crystallography and Almost Periodicity by : Michael Baake
Download or read book Aperiodic Order: Volume 2, Crystallography and Almost Periodicity written by Michael Baake and published by Cambridge University Press. This book was released on 2017-11-02 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quasicrystals are non-periodic solids that were discovered in 1982 by Dan Shechtman, Nobel Prize Laureate in Chemistry 2011. The mathematics that underlies this discovery or that proceeded from it, known as the theory of Aperiodic Order, is the subject of this comprehensive multi-volume series. This second volume begins to develop the theory in more depth. A collection of leading experts, among them Robert V. Moody, cover various aspects of crystallography, generalising appropriately from the classical case to the setting of aperiodically ordered structures. A strong focus is placed upon almost periodicity, a central concept of crystallography that captures the coherent repetition of local motifs or patterns, and its close links to Fourier analysis. The book opens with a foreword by Jeffrey C. Lagarias on the wider mathematical perspective and closes with an epilogue on the emergence of quasicrystals, written by Peter Kramer, one of the founders of the field.
Book Synopsis Combinatorics, Words and Symbolic Dynamics by : Valérie Berthé
Download or read book Combinatorics, Words and Symbolic Dynamics written by Valérie Berthé and published by Cambridge University Press. This book was released on 2016-02-26 with total page 496 pages. Available in PDF, EPUB and Kindle. Book excerpt: Internationally recognised researchers look at developing trends in combinatorics with applications in the study of words and in symbolic dynamics. They explain the important concepts, providing a clear exposition of some recent results, and emphasise the emerging connections between these different fields. Topics include combinatorics on words, pattern avoidance, graph theory, tilings and theory of computation, multidimensional subshifts, discrete dynamical systems, ergodic theory, numeration systems, dynamical arithmetics, automata theory and synchronised words, analytic combinatorics, continued fractions and probabilistic models. Each topic is presented in a way that links it to the main themes, but then they are also extended to repetitions in words, similarity relations, cellular automata, friezes and Dynkin diagrams. The book will appeal to graduate students, research mathematicians and computer scientists working in combinatorics, theory of computation, number theory, symbolic dynamics, tilings and stringology. It will also interest biologists using text algorithms.
Download or read book Aperiodic Order written by Michael Baake and published by Cambridge University Press. This book was released on 2013 with total page 407 pages. Available in PDF, EPUB and Kindle. Book excerpt: The second volume in a series exploring the mathematics of aperiodic order. Covers various aspects of crystallography.
Book Synopsis Solving Polynomial Equation Systems by : Teo Mora
Download or read book Solving Polynomial Equation Systems written by Teo Mora and published by Cambridge University Press. This book was released on 2003 with total page 833 pages. Available in PDF, EPUB and Kindle. Book excerpt: Covers extensions of Buchberger's Theory and Algorithm, and promising recent alternatives to Gröbner bases.
