Publisher's Synopsis
Using a unique, student-friendly approach to teaching Differential Equations, this text encourages students to think both quantitatively and qualitatively when approaching differential equations. Before finding the analytical solution of a differential equation, the text presents the qualitative aspects of the problem - the directional field, the bounded solutions, their range, the presence of constant solutions and so on - to help students use linear algebra to think about the physical systems being modeled. In addition, this text features a fluid integration of linear algebra therefore emphasizing the inter-relatedness of differential equations and linear algebra. *Qualitative and quantitative analysis. *Computer graphics analysis approach - provides students with a real understanding of nonlinear differential equations. *Illustrations and figures - provides students with a clear visualization of concepts presented and has three times as many figures as competing texts. *IDE software - provides students with a CD of software that illustrates concepts presented and allows the student to experiment visually with differential equations.;*Qualitative analysis of nonlinear systems *Discrete dynamical systems - provides students with a current and realistic approach to the more complicated behaviors occurring in discrete iterative systems. *Control theory - enables instructor's to teach one of the most important applications of differential equations. *Consistent approach - similar methods are used to solve multiple equations here by reinforcing concepts.
