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Differential Equations
Graphics, Models, Data
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This text provides lively reading, with compelling applications, projects, and experiments that supply readers with opportunities to explore the relationship between the parameters in a differential equation and the process it models. Its goal is to teach readers to use differential equation as an investigative tool, not just to verify results. Visual exploration of solutions via slope fields, direction fields, phase plane solutions, and other graphical interpretations are emphasized. Also, graphical and numerical techniques are covered early on.
Viewing stained glass from different angles or in various lights is necessary to discover its many qualities. Likewise, viewing solutions of differential equations from several points of view is essential to fully understand their behavior. Lomen and Lovelock provide an active environment for studentsto explore differential equations by using analytical, numerical, graphical, and descriptive techniques, and for students to use ODEs as a natural tool for modeling many interesting processes in science and engineering.
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