Ordinary Differential Equations with Applications to Trajectories and Vibrations, Six-Volume Set: 1st Edition (Hardback) book cover

Ordinary Differential Equations with Applications to Trajectories and Vibrations, Six-Volume Set

1st Edition

By Luis Manuel Braga da Costa Campos

CRC Press

2,120 pages | 185 B/W Illus.

Purchasing Options:$ = USD
Hardback: 9780367137175
pub: 2019-11-20
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Description

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

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

About the Author

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.

About the Series

Mathematics and Physics for Science and Technology

Learn more…

Subject Categories

BISAC Subject Codes/Headings:
MAT003000
MATHEMATICS / Applied
MAT007000
MATHEMATICS / Differential Equations
MED000000
MEDICAL / General