Differential Equations: Theory and Applications

• Main Author: Betounes, David (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: New York, NY : Springer New York, 2010.
• Subjects: Mathematics.; Dynamics.; Ergodic theory.; Differential equations.; Numerical analysis.; Physics.; Ordinary Differential Equations.; Numerical Analysis.; Dynamical Systems and Ergodic Theory.; Mathematical Methods in Physics.

The book provides a comprehensive introduction to the theory of ordinary differential equations at the graduate level and includes applications to Newtonian and Hamiltonian mechanics. It not only has a large number of examples and computer graphics, but also has a complete collection of proofs for t...

Table of Contents:

• Techniques, Concepts and Examples
• Existence and Uniqueness: The Flow Map
• Linear Systems
• Linearization #x0026; Transformation
• Stability Theory
• Integrable Systems
• Newtonian Mechanics
• Hamiltonian Systems
• Elementary Analysis
• Lipschitz Maps and Linearization
• Linear Algebra
• Electronic Contents.