Differential Equations and Linear Algebra (Classic Version) (Pearson Modern Classics for Advanced Mathematics Series)

Differential Equations and Linear Algebra (Classic Version) (Pearson Modern Classics for Advanced Mathematics Series)

• Consistent approach uses similar methods to solve various systems (algebraic, differential, and iterative) thus reinforcing concepts.
• Computer graphics analysis approach encourages a real understanding of nonlinear differential and iterative equations.
• Abundant illustrations and figures: Approximately 3 times as many figures as competing texts.
• Qualitative analysis of nonlinear systems: A vital extension of linear systems with a graphics approach that enables students to observe the effects of changing parameters and work with applications in other disciplines.
• Discrete dynamical systems: Provides a current and realistic introduction to the more complicated behaviors occurring in discrete iterative systems.
• Control theory: Enables instructors to introduce one of the most important applications of differential equations.
• Significant revision/rewriting throughout strengthens the link between linear algebra and differential equations, improves clarity, and responds to reader suggestions wherever possible.
• New sections on the matrix exponential and the Laplace transform.
• Over 400 innovative new problems.
• The method of variation of parameters is moved to the more traditional position in the chapter on second-order equation (previously found in the chapter on systems).
• Enlarged sections on nonhomogeneous equations and Laplace transform, both for differential equations and their systems.