A First Course in Differential Equations

• Main Author: Logan, J. David (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: New York, NY : Springer New York, 2011.
• Edition: Second.
• Series: Undergraduate Texts in Mathematics,
• Subjects: Mathematics.; Differential equations.; Applied mathematics.; Engineering mathematics.; Mathematical models.; Ordinary Differential Equations.; Applications of Mathematics.; Mathematical Modeling and Industrial Mathematics.

This concise and up-to-date textbook is designed for the standard sophomore course in differential equations. It treats the basic ideas, models, and solution methods in a user friendly format that is accessible to engineers, scientists, economists, and mathematics majors. It emphasizes analytical, g...

Table of Contents:

• Preface to the Second Edition
• To the Student
• 1. Differential Equations and Models
• 2. Linear Equations and Approximations
• 3. Second-Order Differential Equations
• 4. Laplace Transforms
• 5. Systems of Differential Equations
• 6. Linear Systems
• 7. Nonlinear Systems
• Appendix A. References
• Appendix B. Computer Algebra Systems
• Appendix C. Sample Examinations
• D. Index.