Princeton University Press
Introduction to Differential Equations with Dynamical Systems
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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.
Author / Editor information
Reviews
"These two experienced applied mathematicians have sought to provide an easy-to-read introduction to differential equations for typical students. . . . The writing is clear and well illustrated."---Robert E. O'Mally, Jr., SIAM Review
Topics
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Frontmatter
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Contents
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Preface
ix -
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CHAPTER 1. First-Order Differential Equations and Their Applications
1 -
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CHAPTER 2. Linear Second- and Higher-Order Differential Equations
96 -
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CHAPTER 3. The Laplace Transform
197 -
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CHAPTER 4. An Introduction to Linear Systems of Differential Equations and Their Phase Plane
265 -
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CHAPTER 5. Mostly Nonlinear First-Order Differential Equations
315 -
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CHAPTER 6. Nonlinear Systems of Differential Equations in the Plane
332 -
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Answers to Odd-Numbered Exercises
379 -
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Index
429