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portada Linear Differential Equations and Oscillators (Mathematics and Physics for Science and Technology)
Type
Physical Book
Publisher
Author
Year
2019
Language
English
Pages
323
Format
Hardcover
ISBN13
9780367137182
Edition No.
1
Categories

Linear Differential Equations and Oscillators (Mathematics and Physics for Science and Technology)

Luis Manuel Braga Da Costa Campos (Author) · Crc Press · Hardcover

Linear Differential Equations and Oscillators (Mathematics and Physics for Science and Technology) - Luis Manuel Braga Da Costa Campos

New Book Imported to Austria
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231,86 €

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Synopsis "Linear Differential Equations and Oscillators (Mathematics and Physics for Science and Technology) "

  Linear Differential Equations and Oscillators is the first 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 first book consists of chapters 1 and 2 of the fourth volume. The first chapter covers linear differential equations of any order whose unforced solution can be obtained from the roots of a characteristic polynomial, namely those: (i) with constant coefficients; (ii) with homogeneous power coefficients with the exponent equal to the order of derivation. The method of characteristic polynomials is also applied to (iii) linear finite difference equations of any order with constant coefficients. The unforced and forced solutions of (i,ii,iii) are examples of some general properties of ordinary differential equations. The second chapter applies the theory of the first chapter to linear second-order oscillators with one degree-of-freedom, such as the mechanical mass-damper-spring-force system and the electrical self-resistor-capacitor-battery circuit. In both cases are treated free undamped, damped, and amplified oscillations; also forced oscillations including beats, resonance, discrete and continuous spectra, and impulsive inputs. Describes general properties of differential and finite difference equations, with focus on linear equations and constant and some power coefficients Presents particular and general solutions for all cases of differential and finite difference equations Provides complete solutions for many cases of forcing including resonant cases Discusses applications to linear second-order mechanical and electrical oscillators with damping Provides solutions with forcing including resonance using the characteristic polynomial, Green' s functions, trigonometrical series, Fourier integrals and Laplace transforms

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