Elementary Differential Equations

Introduction

This book is written to innovate the standard course and to modernize it. There has been a dramatic change in the past century in how solutions to differential equations are calculated. However, the way the topic has been taught in introductory courses has barely changed to reflect these advances, which leaves students at a disadvantage.

Features

Focuses on numerical methods and computing to generate solutions

Features extensive coverage of nonlinear differential equations and nonlinear systems

Contains a wider variety of non-mathematical models than any competing textbook

New Topics

In the new Chapter 11, readers will learn notions of set partitions, graphs, and rooted trees, the concept of exponential generating functions, and see how differential equations can be surprisingly useful in solving complex counting problems

Target Audience

The third edition continues to serve as an excellent introductory textbook for undergraduate students majoring in applied mathematics, computer science, various engineering disciplines, and other sciences. They also will find that the textbook will aid them greatly in their professional careers because of its instructions on how to use computers to solve equations.