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Introductory Differential Equations

  • 6th Edition - December 21, 2023
  • Latest edition
  • Authors: Martha L. Abell, James P. Braselton
  • Language: English

**2025 Textbook and Academic Authors Association (TAA) McGuffey Longevity Award Winner**Introductory Differential Equations, Sixth Edition provides the foundations to assist stud… Read more

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Description

**2025 Textbook and Academic Authors Association (TAA) McGuffey Longevity Award Winner**

Introductory Differential Equations, Sixth Edition 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. The book's accessible explanations and many robust sample problems are appropriate for a first semester course in introductory ordinary differential equations (including Laplace transforms), for a second course in Fourier series and boundary value problems, and for students with no background on the subject.

Key features

  • Gives students a complete foundation on the subject, providing a strong basis for learning how to read technical material in more advanced texts
  • Includes new, comprehensive exercise sets throughout, ranging from straightforward to challenging
  • Offers applications and extended projects relevant to the real-world through the use of examples in a broad range of contexts
  • Provides online support, including a full solutions manual for qualified instructors and a partial solutions manual for students

Readership

Undergraduate students from a variety of majors, taking courses in Mathematics departments typically titled: (Introductory) Differential Equations, (Introductory) Ordinary Differential Equations, Applied Mathematics, Professionals / researchers / academics who require an introduction or refresher to the subject

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

Review quotes

"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

Product details

  • Edition: 6
  • Latest edition
  • Published: December 21, 2023
  • Language: English

About the authors

MA

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 instructing students at both the undergraduate and graduate levels. Other books by the authors include Differential Equations with Mathematica and Mathematica by Example.
Affiliations and expertise
Professor Emerita

JB

James P. 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 where they have extensive experience instructing students at both the undergraduate and graduate levels. Other books by the authors include Differential Equations with Mathematica and Mathematica by Example.
Affiliations and expertise
Associate Professor Emeritus

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