Linear Differential Equations and Oscillators

Language: English

Published by Taylor & Francis, CRC Press, 2023

103265371X / 9781032653716

Series: Book 6 of 9 - Mathematics and Physics for Science and Technology

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Seller: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, GermanyBuchWeltWeit Ludwig Meier e.K.

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This item is printed on demand - it takes 3-4 days longer - Neuware -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 coefficientsPresents particular and general solutions for all cases of differential and finite difference equationsProvides complete solutions for many cases of forcing including resonant casesDiscusses applications to linear second-order mechanical and electrical oscillators with dampingProvides solutions with forcing including resonance using the characteristic polynomial, Green' s functions, trigonometrical series, Fourier integrals and Laplace transforms 324 pp. Englisch.…

Seller Inventory # 9781032653716

Title
Linear Differential Equations and Oscillators
Author
Luis Manuel Braga da Costa Campos
Publisher
Taylor & Francis, CRC Press
Publication year
2023
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
103265371X
ISBN 13
9781032653716
Item weight
496 grams
Dimensions
234x156x17 mm
Series
Book 6 of 9: Mathematics and Physics for Science and Technology

BuchWeltWeit Ludwig Meier e.K.

Bergisch Gladbach, Germany

5-star seller

AbeBooks seller since January 11, 2012

Shipping rates from Germany to U.S.A.

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BuchWeltWeit Ludwig Meier e.K.

Germany