Introductory Differential Equations

by Martha L. Abell, James P. Braselton

Overview

Introductory Differential Equations, Fourth Edition, offers both narrative explanations and robust sample problems for a first semester course in introductory ordinary differential equations (including Laplace transforms) and a second course in Fourier series and boundary value problems. The book provides the foundations to assist students in learning not only how to read and understand differential equations, but also how to read technical material in more advanced texts as they progress through their studies.

This text is for courses that are typically called (Introductory) Differential Equations, (Introductory) Partial Differential Equations, Applied Mathematics, and Fourier Series. It follows a traditional approach and includes ancillaries like Differential Equations with Mathematica and/or Differential Equations with Maple. Because many students need a lot of pencil-and-paper practice to master the essential concepts, the exercise sets are particularly comprehensive with a wide array of exercises ranging from straightforward to challenging. There are also new applications and extended projects made relevant to everyday life through the use of examples in a broad range of contexts.

This book will be of interest to undergraduates in math, biology, chemistry, economics, environmental sciences, physics, computer science and engineering.

• Provides the foundations to assist students in learning how to read and understand the subject, but also helps students in learning how to read technical material in more advanced texts as they progress through their studies.
• Exercise sets are particularly comprehensive with a wide range of exercises ranging from straightforward to challenging.
• Includes new applications and extended projects made relevant to "everyday life" through the use of examples in a broad range of contexts.

• Accessible approach with applied examples and will be good for non-math students, as well as for undergrad classes.

Product Details

ISBN-13:	9780124172821
Publisher:	Elsevier Science & Technology Books
Publication date:	08/19/2014
Sold by:	Barnes & Noble
Format:	eBook
Pages:	530
File size:	47 MB
Note:	This product may take a few minutes to download.

About the Author

Martha L. Abell and James P. Braselton are graduates of the Georgia Institute of Technology and the Ohio State University, respectively, and teach at Georgia Southern University, Statesboro where they have extensive experience in Mathematica-assisted instruction at both the undergraduate and graduate levels. In addition, they have given numerous presentations on Mathematica, throughout the United States and abroad. Other books by the authors include Differential Equations with Mathematica, Second Edition and Statistics with Mathematica. Martha became Dean of the College of Science and Mathematics at Georgia Southern University in 2014.
Martha L. Abell and James P. Braselton are graduates of the Georgia Institute of Technology and the Ohio State University, respectively, and teach at Georgia Southern University, Statesboro. Martha recently received Georgia Southern's award for 'excellence in research and/or creative scholarly activity.' Both authors have extensive experience with using Mathematica as well as Mathematica-assisted instruction at both the undergraduate and graduate levels. In addition, they have given numerous presentations on Mathematica, throughout the United States and abroad. Other books by the authors include Differential Equations with Mathematica, Second Edition and Statistics with Mathematica. Martha Abell became Dean of the College of Science and Mathematics at Georgia Southern University, Statesboro, Georgia, in 2014.

Table of Contents

1.Introduction to Differential Equations

2.First-Order Equations

3.Applications of First-Order Differential Equations

4.Higher Order Equations

5.Applications of Higher-Order Differential Equations

6.Systems of Differential Equations

7.Applications of Systems of Ordinary Differential Equations

8. Introduction to the Laplace Transform

9. Eigenvalue Problems and Fourier Series

10. Partial Differential Equations

ANSWERS TO SELECTED EXERCISES

BIBLIOGRAPHY

What People are Saying About This

From the Publisher

Provides students with both narrative explanations and robust sample problems ideal for a first semester course in introductory ordinary differential equations

Editorial Reviews

"This book is the third edition of a text called “Modern Differential Equations” but with a different publisher and with an extensive revision. It provides a solid accessible introduction to differential equations with their applications and consists of ten chapters.... The authors use widely computer technologies and present over 2500 exercises ranging in level of difficulty as well as many interesting historical notes with images of famous mathematicians. The book is very useful for students attending an undergraduate course on ordinary differential equations." —Alexander Grin, zbMATHOpen

From the Publisher