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  • Finite Element and Discontinuous Galerkin Methods for Transient Wave Equations

    Series series Engineering (R0)
    This monograph presents numerical methods for solving transient wave equations (i.e. in time domain). More precisely, it provides an overview of continuous and discontinuous finite element methods for these equations, including their implementation in physical models, an extensive description of 2D and 3D elements with different shapes, such as prisms or pyramids, an analysis of the accuracy of ... Leer más

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  • Classical Mechanics with Mathematica®

    Series series Mathematics and Statistics (R0)
    This textbook takes a broad yet thorough approach to mechanics, aimed at bridging the gap between classical analytic and modern differential geometric approaches to the subject. Developed by the author from 35 years of teaching experience, the presentation is designed to give students an overview of the many different models used through the history of the field—from Newton to Lagrange—while also ... Leer más

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  • Neoclassical Physics

    Series series Physics and Astronomy (R0)
    In this introductory text, physics concepts are introduced as a means of understanding experimental observations, not as a sequential list of facts to be memorized. The book is structured around the key scientific discoveries that led to much of our current understanding of the universe. Numerous exercises are provided that utilize Mathematica software to help students explore how the language of ... Leer más

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  • Introduction To Lagrangian Mechanics, An (2nd Edition)

    An Introduction to Lagrangian Mechanics begins with a proper historical perspective on the Lagrangian method by presenting Fermat's Principle of Least Time (as an introduction to the Calculus of Variations) as well as the principles of Maupertuis, Jacobi, and d'Alembert that preceded Hamilton's formulation of the Principle of Least Action, from which the Euler-Lagrange equations of motion are ... Leer más

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  • Stochastic Tools in Mathematics and Science

    Series series Mathematics and Statistics (R0)
    "Stochastic Tools in Mathematics and Science" covers basic stochastic tools used in physics, chemistry, engineering and the life sciences. The topics covered include conditional expectations, stochastic processes, Brownian motion and its relation to partial differential equations, Langevin equations, the Liouville and Fokker-Planck equations, as well as Markov chain Monte Carlo algorithms, ... Leer más

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  • Introduction to Nonlinear Thermomechanics of Solids

    Series series Engineering (R0)
    The first part of this textbook presents the mathematical background needed to precisely describe the basic problem of continuum thermomechanics. The book then concentrates on developing governing equations for the problem dealing in turn with the kinematics of material continuum, description of the state of stress, discussion of the fundamental conservation laws of underlying physics, formulation ... Leer más

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    Series series Mathematics and Statistics (R0)
    Now in its second edition, this book continues to give readers a broad mathematical basis for modelling and understanding the wide range of wave phenomena encountered in modern applications. New and expanded material includes topics such as elastoplastic waves and waves in plasmas, as well as new exercises. Comprehensive collections of models are used to illustrate the underpinning mathematical ... Leer más

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  • Large-Scale Perturbations of Magnetohydrodynamic Regimes

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    Series series Physics and Astronomy (R0)
    New developments for hydrodynamical dynamo theory have been spurred by recent evidence of self-sustained dynamo activity in laboratory experiments with liquid metals.The emphasis in the present volume is on the introduction of powerful mathematical techniques required to tackle modern multiscale analysis of continous systems and there application to a number of realistic model geometries of ... Leer más

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  • Waves And Rays In Seismology: Answers To Unasked Questions

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  • Treatise on Classical Elasticity

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    Series series Mathematical and Analytical Techniques with Applications to Engineering
    Deformable solids have a particularly complex character; mathematical modeling is not always simple and often leads to inextricable difficulties of computation. One of the simplest mathematical models and, at the same time, the most used model, is that of the elastic body – especially the linear one. But, notwithstanding its simplicity, even this model of a real body may lead to great difficulties ... Leer más

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    Series series Engineering (R0)
    Differential Geometry offers a concise introduction to some basic notions of modern differential geometry and their applications to solid mechanics and physics.Concepts such as manifolds, groups, fibre bundles and groupoids are first introduced within a purely topological framework. They are shown to be relevant to the description of space-time, configuration spaces of mechanical systems, ... Leer más

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  • Classical Mechanics

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    Series series Physics and Astronomy (R0)
    This textbook teaches classical mechanics as one of the foundations of physics. It describes the mechanical stability and motion in physical systems ranging from the molecular to the galactic scale. Aside from the standard topics of mechanics in the physics curriculum, this book includes an introduction to the theory of elasticity and its use in selected modern engineering applications, e.g. ... Leer más

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