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Introductory Differential Equations
 
 

Introductory Differential Equations, 4th Edition

 
Introductory Differential Equations, 4th Edition,Martha Abell,James Braselton,ISBN9780124172197
 
 
 

  &      

Academic Press

9780124172197

9780124172821

530

235 X 191

Introductory Differential Equations is designed to provide students with both narrative explanations and robust sample problems for a first semester course in introductory ordinary differential equations.

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Key Features

  • 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.

Description

This text is for courses that are typically called (Introductory) Differential Equations, (Introductory) Partial Differential Equations, Applied Mathematics, and Fourier Series. Differential Equations is a text that follows a traditional approach and is appropriate for a first course in ordinary differential equations (including Laplace transforms) and a second course in Fourier series and boundary value problems.

Some schools might prefer to move the Laplace transform material to the second course, which is why we have placed the chapter on Laplace transforms in its location in the text. Ancillaries like Differential Equations with Mathematica and/or Differential Equations with Maple would be recommended and/or required ancillaries.

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 range of exercises ranging from straightforward to challenging. Many different majors will require differential equations and applied mathematics, so there should be a lot of interest in an intro-level text like this. The accessible writing style will be good for non-math students, as well as for undergrad classes.

Readership

Undergraduates in math, biology, chemistry, economics, environmental sciences, physics, computer science and engineering

Martha 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. Martha recently received Georgia Southern's award for 'excellence in research and/or creative scholarly activity.' 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, Statesboro, Georgia, in 2014.

Affiliations and Expertise

Georgia Southern University, Statesboro, USA

View additional works by Martha L. Abell

James Braselton

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.

Affiliations and Expertise

Georgia Southern University, Statesboro, USA

View additional works by James P. Braselton

Introductory Differential Equations, 4th Edition

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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