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Simultaneous Systems of Differential Equations and Multi-Dimensional Vibrations (Mathematics and Physics for Science and Technology Book 4)

Luis Manuel Braga Da Costa Campos
4.9/5 (28591 ratings)
Description:Simultaneous Differential Equations and Multi-Dimensional Vibrations is the fourth book within Ordinary Differential Equations with Applications to Trajectories and Vibrations, Six-volume Set. As a set, they are the fourth volume in the series Mathematics and Physics Applied to Science and Technology. This fourth book consists of two chapters (chapters 7 and 8 of the set).The first chapter concerns simultaneous systems of ordinary differential equations and focuses mostly on the cases that have a matrix of characteristic polynomials, namely linear systems with constant or homogeneous power coefficients. The method of the matrix of characteristic polynomials also applies to simultaneous systems of linear finite difference equations with constant coefficients.The second chapter considers linear multi-dimensional oscillators with any number of degrees of freedom including damping, forcing, and multiple resonance. The discrete oscillators may be extended from a finite number of degrees-of-freedom to infinite chains. The continuous oscillators correspond to waves in homogeneous or inhomogeneous media, including elastic, acoustic, electromagnetic, and water surface waves. The combination of propagation and dissipation leads to the equations of mathematical physics.Presents simultaneous systems of ordinary differential equations and their elimination for a single ordinary differential equationIncludes cases with a matrix of characteristic polynomials, including simultaneous systems of linear differential and finite difference equations with constant coefficientsCovers multi-dimensional oscillators with damping and forcing, including modal decomposition, natural frequencies and coordinates, and multiple resonanceDiscusses waves in inhomogeneous media, such as elastic, electromagnetic, acoustic, and water wavesIncludes solutions of partial differential equations of mathematical physics by separation of variables leading to ordinary differential equations We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Simultaneous Systems of Differential Equations and Multi-Dimensional Vibrations (Mathematics and Physics for Science and Technology Book 4). To get started finding Simultaneous Systems of Differential Equations and Multi-Dimensional Vibrations (Mathematics and Physics for Science and Technology Book 4), you are right to find our website which has a comprehensive collection of manuals listed.
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PDF, EPUB & Kindle Edition
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ISBN
0429638582

Simultaneous Systems of Differential Equations and Multi-Dimensional Vibrations (Mathematics and Physics for Science and Technology Book 4)

Luis Manuel Braga Da Costa Campos
4.4/5 (1290744 ratings)
Description: Simultaneous Differential Equations and Multi-Dimensional Vibrations is the fourth book within Ordinary Differential Equations with Applications to Trajectories and Vibrations, Six-volume Set. As a set, they are the fourth volume in the series Mathematics and Physics Applied to Science and Technology. This fourth book consists of two chapters (chapters 7 and 8 of the set).The first chapter concerns simultaneous systems of ordinary differential equations and focuses mostly on the cases that have a matrix of characteristic polynomials, namely linear systems with constant or homogeneous power coefficients. The method of the matrix of characteristic polynomials also applies to simultaneous systems of linear finite difference equations with constant coefficients.The second chapter considers linear multi-dimensional oscillators with any number of degrees of freedom including damping, forcing, and multiple resonance. The discrete oscillators may be extended from a finite number of degrees-of-freedom to infinite chains. The continuous oscillators correspond to waves in homogeneous or inhomogeneous media, including elastic, acoustic, electromagnetic, and water surface waves. The combination of propagation and dissipation leads to the equations of mathematical physics.Presents simultaneous systems of ordinary differential equations and their elimination for a single ordinary differential equationIncludes cases with a matrix of characteristic polynomials, including simultaneous systems of linear differential and finite difference equations with constant coefficientsCovers multi-dimensional oscillators with damping and forcing, including modal decomposition, natural frequencies and coordinates, and multiple resonanceDiscusses waves in inhomogeneous media, such as elastic, electromagnetic, acoustic, and water wavesIncludes solutions of partial differential equations of mathematical physics by separation of variables leading to ordinary differential equations We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Simultaneous Systems of Differential Equations and Multi-Dimensional Vibrations (Mathematics and Physics for Science and Technology Book 4). To get started finding Simultaneous Systems of Differential Equations and Multi-Dimensional Vibrations (Mathematics and Physics for Science and Technology Book 4), you are right to find our website which has a comprehensive collection of manuals listed.
Our library is the biggest of these that have literally hundreds of thousands of different products represented.
Pages
Format
PDF, EPUB & Kindle Edition
Publisher
Release
ISBN
0429638582

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