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.
About the Author
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.
New to Edition
Streamlined examples and exposition to make the book easier to teach and learn from.
Development of standard techniques was condensed while comparisons between nonlinear and linear equations, autonomous and nonautomous was expanded.
Increased emphasis on the interplay between first order systems and second order equations, and treated spring-mass systems, pendulums and electric circuits in a parallel fashion.
Added new material on nonlinearity, chaos, and qualitative reasoning and included many more interesting and realistic examples and exercises.
Features
Visual exploration of solutions via slope fields, direction fields, phase plan solutions, and other graphical interpretations is emphasized.
The rule of four is used to treat topics from numerical, graphical, analytical, and descriptive viewpoints.
Data sets are used to develop differential equations, to obtain values of parameters in differential equations, and to check the accuracy of mathematical models.
Technology is encouraged to use as differential equations tool to allow students to become active participants in the learning process and enable them to think, experiment, and comprehend.
