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Mathematical Methods for Scientists and Engineers Linear and Nonlinear Systems

by Peter B. Kahn

  • ISBN: 9780471166115
  • ISBN10: 0471166111

Mathematical Methods for Scientists and Engineers Linear and Nonlinear Systems

by Peter B. Kahn

  • List Price: $95.00
  • Binding: Paperback
  • Publisher: John Wiley & Sons Inc
  • Publish date: 06/01/1996
  • ISBN: 9780471166115
  • ISBN10: 0471166111
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Description: 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.
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