A First Course in Ordinary Differential Equations Analytical and Numerical Methods /

• Κύριοι συγγραφείς: Hermann, Martin (Συγγραφέας), Saravi, Masoud (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: New Delhi : Springer India : Imprint: Springer, 2014.
• Θέματα: Mathematics.; Differential equations.; Applied mathematics.; Engineering mathematics.; Mathematical physics.; Numerical analysis.; Continuum mechanics.; Ordinary Differential Equations.; Numerical Analysis.; Applications of Mathematics.; Mathematical Applications in the Physical Sciences.; Continuum Mechanics and Mechanics of Materials.; Mathematical Physics.

This book presents a modern introduction to analytical and numerical techniques for solving ordinary differential equations (ODEs). Contrary to the traditional format—the theorem-and-proof format—the book is focusing on analytical and numerical methods. The book supplies a variety of problems and ex...

Πίνακας περιεχομένων:

• Chapter 1. Basic Concepts of Differential Equations
• Chapter 2. First-Order Differential Equations
• Chapter 3. Second-Order Differential Equations
• Chapter 4. Laplace Transforms
• Chapter 5. System of Linear Differential Equations
• Chapter 6. Power Series Solutions
• Chapter 7. Numerical Methods for Initial Value Problems
• Chapter 8. Shooting Methods for Linear Boundary
• Appendix A. Power Series
• Appendix B. Some elementary integration formulae
• Appendix C. Table of Laplace    transforms.             .