Table of Contents: A First Course in Ordinary Differential Equations

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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Main Authors:	Hermann, Martin. (Author, http://id.loc.gov/vocabulary/relators/aut), Saravi, Masoud. (http://id.loc.gov/vocabulary/relators/aut)
Corporate Author:	SpringerLink (Online service)
Language:	English
Published:	New Delhi : Springer India : Imprint: Springer, 2014.
Edition:	1st ed. 2014.
Subjects:	Differential equations. Numerical analysis. Applied mathematics. Engineering mathematics. Mathematical physics. Mechanics. Mechanics, Applied. Ordinary Differential Equations. Numerical Analysis. Applications of Mathematics. Mathematical Applications in the Physical Sciences. Solid Mechanics. Mathematical Physics.
Online Access:	https://doi.org/10.1007/978-81-322-1835-7

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. .

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

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