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A First Course in Ordinary Differential Equations Analytical and Numerical Methods

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...

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Bibliographic Details
Main Authors: Hermann, Martin, Saravi, Masoud (Author)
Format: eBook
Language:English
Published: New Delhi Springer India 2014, 2014
Edition:1st ed. 2014
Subjects:
Mechanics, Applied
Numerical Analysis
Mathematical Physics
Solids
Solid Mechanics
Applications Of Mathematics
Mathematics
Differential Equations
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Table of Contents:
  • 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.             

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