Differential Equations: An Introduction to Modern Methods and Applications, 3rd Edition

Book Cover

Differential Equations: An Introduction to Modern Methods and Applications, 3rd Edition

By James R. Brannan, William E. Boyce

Differential Equations: An Introduction to Modern Methods and Applications provides instruction consistent with the way engineers and scientists use mathematics in their daily work. The course emphasizes a systems approach to the subject with the focus on fundamental skills, careful application of technology, and practice in modeling complex systems, providing students with the building blocks to be successful problem-solvers in today’s workplace. WileyPLUS adds a flexible digital platform with customizable, modular content design and online homework management. New symbolic palette and graphing questions powered by GeoGebra allow assignment of more complex auto-graded questions to enhance conceptual understanding. Enhance your homework assessments with a flexible, accurate, and reliable symbolic palette entry featuring input specific to differential equations. Algorithmic auto-graded homework questions and many viewable metrics and analytics in the gradebook provide a comprehensive, data-driven approach to engage students.

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Customizable Topics and Organization

Customizable modules are organized by learning objective making it easier to modify the selection and ordering of topics in a variety of instructional settings.

Video Walkthroughs

Examples are easily understood after watching detailed walkthroughs of key concepts in the text. Clear, accurate, and pedagogically sound videos are found throughout each chapter.

New Interactive Questions

New symbolic palette and graphing questions powered by GeoGebra allow assignment of more complex auto-graded questions to enhance conceptual understanding. Enhance your homework assessments with a flexible, accurate, and reliable symbolic palette entry featuring input specific to differential equations.

James R. Brannan is the author of Differential Equations: An Introduction to Modern Methods and Applications, 3rd Edition, published by Wiley.

William E. Boyce received his B.A. degree in Mathematics from Rhodes College, and his M.S. and Ph.D. degrees in Mathematics from Carnegie-Mellon University. He is a member of the American Mathematical Society, the Mathematical Association of America, and the Society for Industrial and Applied Mathematics.

Chapter 1. Introduction
Chapter 2. First Order Differential Equations
Chapter 3. Systems of Two First Order Equations
Chapter 4. Second Order Linear Equations
Chapter 5. The Laplace Transform
Chapter 6. Systems of First Order Linear Equations
Chapter 7. Nonlinear Differential Equations and Stability
Chapter 8. Numerical Methods
Chapter 9. Series Solutions of Second order Equations
Chapter 10. Orthogonal Functions, Fourier Series and Boundary-Value Problems
Chapter 11. Elementary Partial Differential Equations

A. Matrices and Linear Algebra
B. Complex Variables
Answers to Selected Problems
References