Differential Equations

Lomen/Lovelock present differential equations as a natural extension of calculus, and encourage students to see them as a natural tool for investigating many aspects of science and engineering. The book provides lively reading with compelling applications, projects and experiments that supply students with opportunities to explore the differential equation and the process it models. Lomen/Lovelock suggest throughout the text that students employ technology as an instrument to check, discover and interpret the behavior of solutions.

Appropriate for Sophmore courses in Junior Colleges, State Schools and Universities.

Basic Concepts.

Autonomous Differential Equations.

First Order Differential Equations -
Qualitative and Quantitative Aspects.

Models and Applications Leading to New Techniques.

First Order Linear Differential Equations and Models.

Interplay Between First Order Systems and Second Order Equations.

Second Order Linear Differential Equations with Forcing Functions.

Second Order Linear Differential Equations -
Qualitative and Quantitative Aspects.

Linear Autonomous Systems.

Nonlinear Autonomous Systems.

Using Laplace Transforms.

Using Power Series.

Appendices.

Answers.

Index.

David O. Lomen is the author of Differential Equations: Graphics, Models, Data, published by Wiley. David Lovelock is a British theoretical physicist and mathematician. He is known for Lovelock theory of gravity and the Lovelock's theorem. 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 students to 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.