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Discrete Dynamical Modeling

by Sandefur, James T. A

  • ISBN: 9780195084382
  • ISBN10: 0195084381

Discrete Dynamical Modeling

by Sandefur, James T. A

  • Binding: Hardcover
  • Publisher: Oxford University Press
  • Publish date: 07/01/1993
  • ISBN: 9780195084382
  • ISBN10: 0195084381
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Description: 1. Introduction to Dynamic Modeling1.1. Modeling Drugs in the Bloodstream1.2. Terminology1.3. Equilibrium Values1.4. Dynamic Economic Applications1.5. Applications of Dynamics Using Spreadsheets2. First Order Dynamical Systems2.1. Solutions to Linear Dynamical Systems with Applications2.2. Solutions to an Affine Dynamical System2.3. An Introduction to Genetics2.4. Solutions to Affine Dynamical Systems with Applications2.5. Application to Finance3. Introduction to Probability3.1. The Multiplication and Addition Principles3.2. Introduction to Probability3.3. Multistage Tasks3.4. An Introduction to Markov Chains4. Nonhomogeneous Dynamical Systems4.1. Exponential Terms4.2. Exponential Terms, a Special Case4.3. Fractal Geometry4.4. Polynomial Terms4.5. Polynomial Terms, a Special Case5. Higher Order Linear Dynamical Systems5.1. An Introduction to Second Order Linear Equations5.2. Multiple Roots5.3. The Gambler's Ruin5.4. Sex-Linked Genes5.5. Stability for Second Order Affine Equations5.6. Modeling a Vibrating String5.7. Second Order Nonhomogeneous Equations5.8. Gambler's Ruin Revisited5.9. A Model of a National Economy5.10. Dynamical Systems with Order Greater than Two5.11. Solutions Involving Trigonometric Functions6. Introduction to Nonlinear Dynamical Systems6.1. A Model of Population Growth6.2. Using Linearization to Study Stability6.3. Harvesting Strategies6.4. More Linearization7. Vectors and Matrices7.1. Introduction to Vectors and Matrices7.2. Rules of Linear Algebra7.3. Gauss-Jordan Elimination7.4. Determinants7.5. Inverse Matrices8. Dynamical Systems of Several Equations8.1. introduction to Dynamical Systems of Several Equations8.2. Characteristic Values8.3. First Order Dynamical Systems of Several Equations8.4. Regular Markov Chains8.5. Absorbing Markov Chains8.6. Applications of Absorbing Markov Chains8.7. Long Term Behavior of Solutions8.8. The Heat Equation
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