Artículo: AMZ-0134689542

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

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  • For sophomore-level courses in Differential Equations and Linear Algebra. This title is part of the Pearson Modern Classics series. Pearson Modern Classics are acclaimed titles at a value price. Please visit www.pearsonhighered.com/math-classics-series for a complete list of titles.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).
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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.