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
Elasticity
Simultaneous Systems of Differential Equations and Multi-dimensional Oscillators Singular
Differential Equations and Special Functions
Classification and Examples of Differential Equations and their Applications
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.
