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  • Theoretical and Computational Fluid Mechanics

    Existence, Blowup and Discrete Exterior Calculus Problems, Volume II

    Series series Chapman & Hall/CRC Numerical Analysis and Scientific Computing Series
    Theoretical and Computational Fluid Mechanics: Existence, Blowup and Discrete Exterior Calculus Problems, Volume II is self-contained, though it builds upon the work of the previous volume in providing a comprehensive introduction to the mathematical theory of incompressible flows, with a focus on the foundational structures, analytical techniques, and open problems associated with the Navier ... Read more

    $73.99 USD

  • Theoretical and Computational Fluid Mechanics

    Existence, Blow-up, and Discrete Exterior Calculus Algorithms

    Series series Chapman & Hall/CRC Numerical Analysis and Scientific Computing Series
    Theoretical and Computational Fluid Mechanics: Existence, Blow-up, and Discrete Exterior Calculus Algorithms centralizes the main and current topics in theoretical and applied fluid dynamics at the intersection of a mathematical and non-mathematical environment. The book is accessible to anyone with a basic level of understanding of fluid dynamics and yet still engaging for those of a deeper ... Read more

    $73.99 USD

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  • Topics In Contemporary Mathematical Physics (Second Edition)

    by Kai S Lam ...
    This new (second) edition contains a general treatment of quantum field theory (QFT) in a simple scalar field setting in addition to the modern material on the applications of differential geometry and topology, group theory, and the theory of linear operators to physics found in the first edition. All these are introduced without assuming more background on the part of the reader than a good ... Read more

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  • Semi-Riemannian Geometry With Applications to Relativity

    Series Book 103 - Pure and Applied Mathematics
    This book is an exposition of semi-Riemannian geometry (also called pseudo-Riemannian geometry)--the study of a smooth manifold furnished with a metric tensor of arbitrary signature. The principal special cases are Riemannian geometry, where the metric is positive definite, and Lorentz geometry. For many years these two geometries have developed almost independently: Riemannian geometry ... Read more

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  • Vector and Tensor Analysis

    Revised and updated throughout, this book presents the fundamental concepts of vector and tensor analysis with their corresponding physical and geometric applications - emphasizing the development of computational skills and basic procedures, and exploring highly complex and technical topics in simplified settings.;This text: incorporates transformation of rectangular cartesian coordinate systems ... Read more

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  • Two and Three Dimensional Calculus

    with Applications in Science and Engineering

    by Phil Dyke ...
    Covers multivariable calculus, starting from the basics and leading up to the three theorems of Green, Gauss, and Stokes, but always with an eye on practical applications.Written for a wide spectrum of undergraduate students by an experienced author, this book provides a very practical approach to advanced calculus—starting from the basics and leading up to the theorems of Green, Gauss, and Stokes ... Read more

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  • Wavelets

    A Concise Guide

    Introduced nearly three decades ago as a variable resolution alternative to the Fourier transform, a wavelet is a short oscillatory waveform for analysis of transients. The discrete wavelet transform has remarkable multi-resolution and energy-compaction properties. Amir-Homayoon Najmi’s introduction to wavelet theory explains this mathematical concept clearly and succinctly.Wavelets are used in ... Read more

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  • Difference Equations by Differential Equation Methods

    Series Book 27 - Cambridge Monographs on Applied and Computational Mathematics
    Most well-known solution techniques for differential equations exploit symmetry in some form. Systematic methods have been developed for finding and using symmetries, first integrals and conservation laws of a given differential equation. Here the author explains how to extend these powerful methods to difference equations, greatly increasing the range of solvable problems. Beginning with an ... Read more

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    Mathematics and Computations

    Unlike most finite element books that cover time dependent processes (IVPs) in a cursory manner, The Finite Element Method for Initial Value Problems: Mathematics and Computations focuses on the mathematical details as well as applications of space-time coupled and space-time decoupled finite element methods for IVPs. Space-time operator classification, space-time methods of approximation, and ... Read more

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  • Study of Linear and Nonlinear Models with “Mathematica”

    The book is devoted to the problems of modeling physical systems and fields using the tools and capabilities of the 'Mathematica' software package. In the process of teaching classical courses in mechanics and mathematical physics, one often has to overcome significant difficulties associated with the cumbersomeness of the mathematical apparatus, which more than once distracts from the essence of ... Read more

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  • Perturbation Methods for Engineers and Scientists

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    The subject of perturbation expansions is a powerful analytical technique which can be applied to problems which are too complex to have an exact solution, for example, calculating the drag of an aircraft in flight. These techniques can be used in place of complicated numerical solutions. This book provides an account of the main techniques of perturbation expansions applied to both differential ... Read more

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