
Differential Equations
An Introduction to Modern Methods and Applications
- 720 pages
- English
- PDF
- Available on iOS & Android
Differential Equations
An Introduction to Modern Methods and Applications
About this book
Brannan/Boyce's Differential Equations: An Introduction to Modern Methods and Applications, 3rd Edition is consistent with the way engineers and scientists use mathematics in their daily work. The text emphasizes a systems approach to the subject and integrates the use of modern computing technology in the context of contemporary applications from engineering and science. The focus on fundamental skills, careful application of technology, and practice in modeling complex systems prepares students for the realities of the new millennium, providing the building blocks to be successful problem-solvers in today's workplace. Section exercises throughout the text provide hands-on experience in modeling, analysis, and computer experimentation. Projects at the end of each chapter provide additional opportunities for students to explore the role played by differential equations in the sciences and engineering.
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Key takeaways
Apply analytical techniques to solve various first and second order linear differential equations, and construct mathematical models to represent phenomena in engineering and science.
Solve systems of first order linear differential equations using eigenvalue methods and utilize the Laplace Transform to address initial value problems, including those involving discontinuous or impulsive functions.
Analyze the qualitative behavior and stability of nonlinear differential equations and systems, and implement numerical methods to approximate their solutions.
Information
Table of contents
- Cover
- Title Page
- Copyright
- Preface
- Acknowledgments
- Contents
- 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
- APPENDIX A Matrices and Linear Algebra
- Answers
- References
- Index
- EULA
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