Differential Equations: Graphics, Models, Data

ISBN-13: 9780471076483 / Angielski / Miękka / 1998 / 704 str.

David Lomen; David Lovelock; David Lovelock

Opis

The authors of this book 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. Use of technology is encouraged as a tool to allow students to become active participants in the learning process and enable them to think, experiment, and comprehend by employing technology as an instrument to check, discover and interpret the behaviour of solutions.

Spis treści

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.

Blurb

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.