Kahn, Peter B.

Mathematical methods for scientists and engineers Linear and nonlinear systems - New York: Dover Pub., [c2004] - 469 p

PART I LINEAR SYSTEMS
1. Matrix Theory
2. The Gamma and Related Functions
3. Elements of Asymptotics
4. Evaluation of Sums: The Euler-MacLaurin Sum Expansion
5. Evaluation of Integrals: The Laplace Method
6. Differential Equations

PART II NONLINEAR SYSTEMS
7. The Simple Harmonic Oscillator and the Logistic Equation
8. Aspects of Harmonic Motion and the Concept of Secular Terms
9. Equilibrium Points and the Phase Plane
10. Conservative Systems
11. Nonconservative Systems
12. The Method of Averaging (MOA)
13. The Method of Multiple Times Scales (MMTS)
14. Higher-Order Calculations
15. Error Analysis. One-Dimensional Iterative Maps and the Onset of Chaos

A new approach to the subject of mathematical models, with emphasis on current topics such as non-linear systems, condensed matter, astrophysics and vibration. The book also contains discussions of asymptomatic techniques used to study linear systems.

9780486435169

Q158.5