Library - International Centre for Theoretical Sciences catalog › Details for: Mathematical methods for scientists and engineers Linear and nonlinear systems

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Mathematical methods for scientists and engineers Linear and nonlinear systems

By: Kahn, Peter BMaterial type: Text

TextPublication details: New York: Dover Pub., [c2004]Description: 469 pISBN: 9780486435169LOC classification: Q158.5

Contents:

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

Summary: 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.

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Item type	Current library	Collection	Shelving location	Call number	Status	Date due	Barcode	Item holds
Book	ICTS	General Science	Rack No 3	Q158.5 (Browse shelf (Opens below))	Available		02503

Total holds: 0

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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.

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