Braga da Costa Campos, L: Classification and Examples of Dif
Language: English
Published by CRC Press, 2019
Series: Book 7 of 9 - Mathematics and Physics for Science and Technology
- Hardcover
- New
Condition: New
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Luis Manuel Braga da Costa Campos graduated in 1972 as a Mechanical Engineer from the Instituto Superior Tecnico (IST) of Lisbon Technical University. His tutorials as a student (1970) were followed by a career at the same institution (IST) through all leve.
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- Title
- Braga da Costa Campos, L: Classification and Examples of Dif
- Author
- Luis Manuel Braga da Costa Campos (University of Lisbon, Portugal)
- Publisher
- CRC Press
- Publication year
- 2019
- Condition
- New
- Binding
- Hardcover
- Language
- English
- ISBN 10
- 0367137240
- ISBN 13
- 9780367137243
- Series
- Book 7 of 9: Mathematics and Physics for Science and Technology
Classification and Examples of Differential Equations and their Applications is the sixth 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 sixth book consists of one chapter (chapter 10 of the set). It contains 20 examples related to the preceding five books and chapters 1 to 9 of the set. It includes two recollections: the first with a classification of differential equations into 500 standards and the second with a list of 500 applications.
The ordinary differential equations are classified in 500 standards concerning methods of solution and related properties, including: (i) linear differential equations with constant or homogeneous coefficients and finite difference equations; (ii) linear and non-linear single differential equations and simultaneous systems; (iii) existence, unicity and other properties; (iv) derivation of general, particular, special, analytic, regular, irregular, and normal integrals; (v) linear differential equations with variable coefficients including known and new special functions.
The theory of differential equations is applied to the detailed solution of 500 physical and engineering problems including: (i) one- and multidimensional oscillators, with damping or amplification, with non-resonant or resonant forcing; (ii) single, non-linear, and parametric resonance; (iii) bifurcations and chaotic dynamical systems; (iv) longitudinal and transversal deformations and buckling of bars, beams, and plates; (v) trajectories of particles; (vi) oscillations and waves in non-uniform media, ducts, and wave guides.
- Provides detailed solution of examples of differential equations of the types covered in tomes l-5 of the set (Ordinary Differential Equations with Applications to Trajectories and Vibrations, Six -volume Set)
- Includes physical and engineering problems that extend those presented in the tomes 1-6 (Ordinary Differential Equations with Applications to Trajectories and Vibrations, Six-volume Set)
- Includes a classification of ordinary differential equations and their properties into 500 standards that can serve as a look-up table of methods of solution
- Covers a recollection of 500 physical and engineering problems and sub-cases that involve the solution of differential equations
- Presents the problems used as examples including formulation, solution, and interpretation of results
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