Differential Equations and Linear Algebra (Classic Version)

Description

Extensively rewritten throughout, the 2nd Edition of this flexible text features a seamless integration of linear algebra into the discipline of differential equations. Abundant computer graphics, IDE interactive illustration software, and well-thought-out problem sets make it an excellent choice for either the combination DE/LA course or pure differential equations courses . The authors’ consistent, reader-friendly presentation encourages students to think both quantitatively and qualitatively when approaching differential equations – and reinforces concepts using similar methods to solve various systems (algebraic, differential, and iterative).

Hallmark features of this title

• 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.

New and updated features of this title

• 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.

• 1 First-Order Differential Equations 
• 2 Linearity and Nonlinearity 
• 3 Linear Algebra 
• 4 Higher-Order Linear Differential Equations 
• 5 Linear Transformations 
• 6 Linear Systems of Differential Equations 
• 7 Nonlinear Systems of Differential Equations 
• 8 Laplace Transforms 
• 9 Discrete Dynamical Systems 
• 10 Control Theory

Extensively rewritten throughout, the 2nd Edition of this flexible text features a seamless integration of linear algebra into the discipline of differential equations. Abundant computer graphics, IDE interactive illustration software, and well-thought-out problem sets make it an excellent choice for either the combination DE/LA course or pure differential equations courses . The authors’ consistent, reader-friendly presentation encourages students to think both quantitatively and qualitatively when approaching differential equations – and reinforces concepts using similar methods to solve various systems (algebraic, differential, and iterative).

Additional information