图书简介

Chapter 1: Introduction to dynamic modeling; 1.: Modeling drugs in the bloodstream; 2.: Terminology; 3.: Equilibrium values; 4.: Dynamic economic applications; 5.: Applications of dynamics using spreadsheets; Chapter 2: First order dynamical systems; 1.: Solutions to linear dynamical systems with applications; 2.: Solutions to an affine dynamical system; 3.: An introduction to genetics; 4.: Solution to affine dynamical systems with applications; 5.: Applications to finance; Chapter 3: Introduction to probability; 1.: The multiplication to probability; 2.: Introduction to probability; 3.: Multistage tasks; 4.: An introduction to Markov chains; Chapter 4: Nonhomogeneous dynamical systems; 1.: Exponential terms; 2.: Exponential terms, a special case; 3.: Fractal geometry; 4.: Polynomial terms; 5.: Polynomial terms, a special case; Chapter 5: Higher order linear dynamical systems 183; 1.: An introduction to second order linear equations; 2.: Multiple roots; 3.: The gambler?s ruin; 4.: Sex-linked genes; 5.: Stability for second order affine equations; 6.: Modeling a vibrating string; 7.: Second order nonhomogeneous equations; 8.: Gambler?s ruin revisited; 9.: A model of a national economy; 10.: Dynamical systems with order greater than two; 11.: Solutions involving trigonometric functions; Chapter 6: Introduction to nonlinear dynamical systems; 1.: A model of population growth; 2.: Using linearization to study stability; 3.: Harvesting strategies; 4.: More linearization; Chapter 7: Vectors and matrices; 1.: Introduction to vectors and matrices; 2.: Rules of linear algebra; 3.: Gauss-Jordan elimination; 4.: Determinants; 5.: Inverse matrices; Chapter 8: Dynamical systems of several equations; 1.: Introduction to dynamical systems of several equations; 2.: Characteristic values; 3.: First order dynamical systems of several equations; 4.: Regular Markov chains; 5.: Absorbing Markov chains; 6.: Applications of absorbing Markov chains; 7.: Long term behavior of solutions; 8.: The heat equation; 9.: Bibliography

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