
Introduction to Differential Equations with Dynamical Systems
- 472 pages
- English
- ePUB (mobile friendly)
- Available on iOS & Android
Introduction to Differential Equations with Dynamical Systems
About this book
Many textbooks on differential equations are written to be interesting to the teacher rather than the student. Introduction to Differential Equations with Dynamical Systems is directed toward students. This concise and up-to-date textbook addresses the challenges that undergraduate mathematics, engineering, and science students experience during a first course on differential equations. And, while covering all the standard parts of the subject, the book emphasizes linear constant coefficient equations and applications, including the topics essential to engineering students. Stephen Campbell and Richard Haberman--using carefully worded derivations, elementary explanations, and examples, exercises, and figures rather than theorems and proofs--have written a book that makes learning and teaching differential equations easier and more relevant. The book also presents elementary dynamical systems in a unique and flexible way that is suitable for all courses, regardless of length.
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Information
Table of contents
- Cover
- Title
- Copyright
- Contents
- Preface
- Chapter 1: First-Order Differential Equations and Their Applications
- Chapter 2: Linear Second- and Higher-Order Differential Equations
- Chapter 3: The Laplace Transform
- Chapter 4: An Introduction to Linear Systems of Differential Equations and Their Phase Plane
- Chapter 5: Mostly Nonlinear First-Order Differential Equations
- Chapter 6: Nonlinear Systems of Differential Equations in the Plane
- Answers to Odd-Numbered Exercises
- Index