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

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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: Printed Book
Language:English
Edition:1st ed. 2014.
Subjects:
Applied mathematics.
Differential equations.
Engineering mathematics.
Mathematical physics.
Mechanics, Applied.
Mechanics.
Numerical analysis.
Ordinary Differential Equations.
Applications of Mathematics.
Mathematical Applications in the Physical Sciences.
Mathematical Physics.
Numerical Analysis.
Solid Mechanics.
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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