Introductory Differential Equations

Introductory Differential Equations

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Description

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.
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Product details

  • Hardback | 530 pages
  • 194 x 244 x 32mm | 1,259.98g
  • Academic Press Inc
  • San Diego, United States
  • English
  • 4th edition
  • 0124172199
  • 9780124172197

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
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About Martha L. Abell

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 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.
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