With the modeling and graphical visualization as the central approach, this book introduces differential systems and numerical methods early on and encourages the use of numerical solvers from the very start. It covers modern topics such as sensitivity, long-term behavior, bifurcation, and chaos together with the basic solution formula techniques and theory.
|Edition description:||Preliminary ed|
|Product dimensions:||8.49(w) x 10.92(h) x 1.16(d)|
Table of ContentsFirst-Order Differential Equations and Models.
Initial Value Problems and Their Approximate Solutions.
Second-Order Differential Equations.
Applications of Second-Order Differential Equations.
Systems of Differential Equations.
The Laplace Transform.
Linear Systems of Differential Equations.
Cycles, Bifurcations, and Chaos.
Fourier Series and Separation of Variables.
Series Solutions: Bessel Functions, Legendre Polynomials.
Answers to Selected Problems.