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  • Getting Acquainted with Homogenization and Multiscale

    Series series Mathematics and Statistics (R0)
    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 ... Read more

    $44.99 USD

  • Introduction to the Network Approximation Method for Materials Modeling

    Series Book 148 - Encyclopedia of Mathematics and its Applications
    In recent years the traditional subject of continuum mechanics has grown rapidly and many new techniques have emerged. This text provides a rigorous, yet accessible introduction to the basic concepts of the network approximation method and provides a unified approach for solving a wide variety of applied problems. As a unifying theme, the authors discuss in detail the transport problem in a system ... Read more

    $87.79 USD

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    Series series Student's Guides
    Striving to explore the subject in as simple a manner as possible, this book helps readers understand the elusive concept of entropy. Innovative aspects of the book include the construction of statistical entropy from desired properties, the derivation of the entropy of classical systems from purely classical assumptions, and a statistical thermodynamics approach to the ideal Fermi and ideal Bose ... Read more

    $31.99 USD

  • Guide to Essential Math

    A Review for Physics, Chemistry and Engineering Students

    by Sy M. Blinder ...
    This book reminds students in junior, senior and graduate level courses in physics, chemistry and engineering of the math they may have forgotten (or learned imperfectly) which is needed to succeed in science courses. The focus is on math actually used in physics, chemistry and engineering, and the approach to mathematics begins with 12 examples of increasing complexity, designed to hone the ... Read more

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  • The Finite Volume Method in Computational Fluid Dynamics

    An Advanced Introduction with OpenFOAM® and Matlab

    Series series Engineering (R0)
    This textbook explores both the theoretical foundation of the Finite Volume Method (FVM) and its applications in Computational Fluid Dynamics (CFD). Readers will discover a thorough explanation of the FVM numerics and algorithms used for the simulation of incompressible and compressible fluid flows, along with a detailed examination of the components needed for the development of a collocated ... Read more

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  • Worked Examples in Nonlinear Continuum Mechanics for Finite Element Analysis

    Many processes in materials science and engineering, such as the load deformation behaviour of certain structures, exhibit nonlinear characteristics. The computer simulation of such processes therefore requires a deep understanding of both the theoretical aspects of nonlinearity and the associated computational techniques. This book provides a complete set of exercises and solutions in the field ... Read more

    $57.39 USD

  • Mathematical Models in Contact Mechanics

    Series Book 398 - London Mathematical Society Lecture Note Series
    This text provides a complete introduction to the theory of variational inequalities with emphasis on contact mechanics. It covers existence, uniqueness and convergence results for variational inequalities, including the modelling and variational analysis of specific frictional contact problems with elastic, viscoelastic and viscoplastic materials. New models of contact are presented, including ... Read more

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  • Introductory Fluid Mechanics

    by Joseph Katz ...
    The objective of this introductory text is to familiarise students with the basic elements of fluid mechanics so that they will be familiar with the jargon of the discipline and the expected results. At the same time, this book serves as a long-term reference text, contrary to the oversimplified approach occasionally used for such introductory courses. The second objective is to provide a ... Read more

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  • Mathematics of Two-Dimensional Turbulence

    Series Book 194 - Cambridge Tracts in Mathematics
    This book is dedicated to the mathematical study of two-dimensional statistical hydrodynamics and turbulence, described by the 2D Navier–Stokes system with a random force. The authors' main goal is to justify the statistical properties of a fluid's velocity field u(t,x) that physicists assume in their work. They rigorously prove that u(t,x) converges, as time grows, to a statistical equilibrium, ... Read more

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  • Stochastic Processes and Applications

    Diffusion Processes, the Fokker-Planck and Langevin Equations

    Series series Mathematics and Statistics (R0)
    This book presents various results and techniques from the theory of stochastic processes that are useful in the study of stochastic problems in the natural sciences. The main focus is analytical methods, although numerical methods and statistical inference methodologies for studying diffusion processes are also presented. The goal is the development of techniques that are applicable to a wide ... Read more

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  • A New Approach to Differential Geometry using Clifford's Geometric Algebra

    by John Snygg ...
    Series series Mathematics and Statistics (R0)
    Differential geometry is the study of the curvature and calculus of curves and surfaces. A New Approach to Differential Geometry using Clifford's Geometric Algebra simplifies the discussion to an accessible level of differential geometry by introducing Clifford algebra. This presentation is relevant because Clifford algebra is an effective tool for dealing with the rotations intrinsic to the study ... Read more

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  • Einstein in Matrix Form

    Exact Derivation of the Theory of Special and General Relativity without Tensors

    by Günter Ludyk ...
    Series series Physics and Astronomy (R0)
    This book is an introduction to the theories of Special and General Relativity. The target audience are physicists, engineers and applied scientists who are looking for an understandable introduction to the topic - without too much new mathematics. The fundamental equations of Einstein's theory of Special and General Relativity are derived using matrix calculus, without the help of tensors. This ... Read more

    $58.49 USD