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Published by Taylor & Francis Ltd, 2023
ISBN 10: 1032653744 ISBN 13: 9781032653747
Language: English
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Published by Taylor & Francis Group, 2019
ISBN 10: 0367137216 ISBN 13: 9780367137212
Language: English
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Published by Taylor & Francis Ltd, 2024
ISBN 10: 1032624736 ISBN 13: 9781032624730
Language: English
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Published by Taylor & Francis Group, 2019
ISBN 10: 0367137216 ISBN 13: 9780367137212
Language: English
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Published by Taylor & Francis Ltd, London, 2024
ISBN 10: 1032624736 ISBN 13: 9781032624730
Language: English
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Hardcover. Condition: new. Hardcover. Linear Partial Differential and Difference Equations and Simultaneous Systems: With Constant or Homogeneous Coefficients is part of the series "Mathematics and Physics for Science and Technology," which combines rigorous mathematics with general physical principles to model practical engineering systems with a detailed derivation and interpretation of results. Volume V presents the mathematical theory of partial differential equations and methods of solution satisfying initial and boundary conditions, and includes applications to: acoustic, elastic, water, electromagnetic and other waves; the diffusion of heat, mass, and electricity; and their interactions. This is the third book of the volume.The book starts with six different methods of solution of linear partial differential equations (p.d.e.) with constant coefficients. One of the methods, namely characteristic polynomial, is then extended to a further five classes, including linear p.d.e. with homogeneous power coefficients and finite difference equations and simultaneous systems of both (simultaneous partial differential equations [s.p.d.e.] and simultaneous finite difference equations [s.f.d.e.]). The applications include detailed solutions of the most important p.d.e. in physics and engineering, including the Laplace, heat, diffusion, telegraph, bar, and beam equations. The free and forced solutions are considered together with boundary, initial, asymptotic, starting, and other conditions.The book is intended for graduate students and engineers working with mathematical models and can be applied to problems in mechanical, aerospace, electrical, and other branches of engineering dealing with advanced technology, and also in the physical sciences and applied mathematics. This presents six solution methods for linear partial differential equations (P.D.E.s) with constant coefficients. It covers linear P.D.E.s with homogeneous power coefficients, finite difference equations and simultaneous systems of both, with applications to solutions of the most important P.D.E.s in physics and engineering. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.
Published by Taylor & Francis Group, 2019
ISBN 10: 0367137216 ISBN 13: 9780367137212
Language: English
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Published by CRC Press 2019-05-08, 2019
ISBN 10: 0367137216 ISBN 13: 9780367137212
Language: English
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Published by Taylor & Francis Ltd, London, 2019
ISBN 10: 0367137216 ISBN 13: 9780367137212
Language: English
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Hardcover. Condition: new. Hardcover. 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 This the fourth book of Ordinary Differential Equations with Applications to Trajectories and Vibrations, Six-Volume Set, in the Mathematics and Physics for Science and Technology series. It extends the methods of the first three from a single ordinary differential equation to a simultaneous system. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.
Published by Taylor & Francis Ltd, London, 2024
ISBN 10: 1032624736 ISBN 13: 9781032624730
Language: English
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Add to basketHardcover. Condition: new. Hardcover. Linear Partial Differential and Difference Equations and Simultaneous Systems: With Constant or Homogeneous Coefficients is part of the series "Mathematics and Physics for Science and Technology," which combines rigorous mathematics with general physical principles to model practical engineering systems with a detailed derivation and interpretation of results. Volume V presents the mathematical theory of partial differential equations and methods of solution satisfying initial and boundary conditions, and includes applications to: acoustic, elastic, water, electromagnetic and other waves; the diffusion of heat, mass, and electricity; and their interactions. This is the third book of the volume.The book starts with six different methods of solution of linear partial differential equations (p.d.e.) with constant coefficients. One of the methods, namely characteristic polynomial, is then extended to a further five classes, including linear p.d.e. with homogeneous power coefficients and finite difference equations and simultaneous systems of both (simultaneous partial differential equations [s.p.d.e.] and simultaneous finite difference equations [s.f.d.e.]). The applications include detailed solutions of the most important p.d.e. in physics and engineering, including the Laplace, heat, diffusion, telegraph, bar, and beam equations. The free and forced solutions are considered together with boundary, initial, asymptotic, starting, and other conditions.The book is intended for graduate students and engineers working with mathematical models and can be applied to problems in mechanical, aerospace, electrical, and other branches of engineering dealing with advanced technology, and also in the physical sciences and applied mathematics. This presents six solution methods for linear partial differential equations (P.D.E.s) with constant coefficients. It covers linear P.D.E.s with homogeneous power coefficients, finite difference equations and simultaneous systems of both, with applications to solutions of the most important P.D.E.s in physics and engineering. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability.
Published by Taylor & Francis Ltd, 2019
ISBN 10: 0367137216 ISBN 13: 9780367137212
Language: English
Seller: THE SAINT BOOKSTORE, Southport, United Kingdom
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