Differential Equations

Differential Equations
ISBN-10
0495012653
ISBN-13
9780495012658
Series
Differential Equations
Category
Mathematics
Pages
828
Language
English
Published
2006
Publisher
Brooks/Cole Publishing Company
Authors
Robert L. Devaney, Paul Blanchard, Glen R. Hall

Description

Incorporating a modeling approach throughout, this exciting text emphasizes concepts and shows that the study of differential equations is a beautiful application of the ideas and techniques of calculus to everyday life. By taking advantage of readily available technology, the authors eliminate most of the specialized techniques for deriving formulas for solutions found in traditional texts and replace them with topics that focus on the formulation of differential equations and the interpretations of their solutions. Students will generally attack a given equation from three different points of view to obtain an understanding of the solutions: qualitative, numeric, and analytic. Since many of the most important differential equations are nonlinear, students learn that numerical and qualitative techniques are more effective than analytic techniques in this setting. Overall, students discover how to identify and work effectively with the mathematics in everyday life, and they learn how to express the fundamental principles that govern many phenomena in the language of differential equations.

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