Ordinary Differential Equations with Applications to Trajectories and Vibrations, Six-Volume Set
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Volume IV of the series “Mathematics and Physics Applied to Science and Technology," this
comprehensive six-book set covers:
Linear Differential Equations and Oscillators
Non-linear Differential Equations and Dynamical Systems Higher-order Differential Equations and
Simultaneous Systems of Differential Equations and Multi-dimensional Oscillators Singular
Differential Equations and Special Functions
Classification and Examples of Differential Equations and their Applications
Table of Contents
Book 1 – Linear Differential Equations and Oscillators. 1. Three Cases of Characteristic
Polynomials. 2. The Damped/Amplified and Forced Oscillator. Book 2 – Non-linear Differential
Equations and Dynamical Systems. 3. Differentials and First-order Differential Equations. 4.
Unsteady, Non-linear and Chaotic Systems. Book 3 – Higher-order Differential Equations and
Elasticity. 5. Special, Second and Higher-order Differential equations. 6. Buckling of Elastic
Beams and Plates. Book 4 – Simultaneous Systems of Differential Equations and Multi-dimensional
Oscillators. 7. Simultaneous Systems of Differential Equations. 8. Oscillations with Several
Degrees-of-Freedom. Book 5 – Singular Differential Equations and Special Functions.
9. Existence Theorems and Special Functions. Book 6 – Classification and Examples of Differential
Equations and their Applications. Chapter 10. – Examples 1 to 20. Recollections – 500 Standards of
Differential Equations and 500 Apllications. Back
Matter – Indices and Bibliography
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 levels: Assistant (1972), Assistant
with tenure (1974), Assistant Professor (1978), Associate Professor (1982), Chair de Applied
Mathematics and Mechanics (1985). He has been coordinator of undergraduate and post-graduate
degrees in Aerospace Engineering since their creation in 1991. He is also coordinator of the
Scientific Area of Applied and Aerospace Mechanics in the Department of Mechanical Engineering and
director and founder of the Center for Aeronautical and Space Science and Technology.