 Mathematical Methods for Scientists and Engineers: Linear and Nonlinear Systems
ISBN: 978-0-471-16611-5
Paperback
496 pages
June 1996
US $95.00
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LINEAR SYSTEMS.
Matrix Theory.
The Gamma and Related Functions.
Elements of Asymptotics.
Evaluation of Sums: The Euler-MacLaurin Sum Expansion.
Evaluation of Integrals: The Laplace Method.
Differential Equations.
NONLINEAR SYSTEMS.
The Simple Harmonic Oscillator and the Logistic Equation.
Aspects of Harmonic Motion and the Concept of Secular Terms.
Equilibrium Points and the Phase Plane.
Conservative Systems.
Nonconservative Systems.
The Method of Averaging (MOA).
The Method of Multiple Times Scales (MMTS).
Higher-Order Calculations.
Error Analysis.
One-Dimensional Iterative Maps and the Onset of Chaos.
Appendix.
Index.
Matrix Theory.
The Gamma and Related Functions.
Elements of Asymptotics.
Evaluation of Sums: The Euler-MacLaurin Sum Expansion.
Evaluation of Integrals: The Laplace Method.
Differential Equations.
NONLINEAR SYSTEMS.
The Simple Harmonic Oscillator and the Logistic Equation.
Aspects of Harmonic Motion and the Concept of Secular Terms.
Equilibrium Points and the Phase Plane.
Conservative Systems.
Nonconservative Systems.
The Method of Averaging (MOA).
The Method of Multiple Times Scales (MMTS).
Higher-Order Calculations.
Error Analysis.
One-Dimensional Iterative Maps and the Onset of Chaos.
Appendix.
Index.
