Aspects of Integrability of Differential Systems and Fields A Mathematical Primer for Physicists /

• Main Author: Papachristou, Costas J. (Author, http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2019.
• Edition: 1st ed. 2019.
• Series: SpringerBriefs in Physics,
• Subjects: Physics.; Mathematical physics.; Differential equations.; Partial differential equations.; Mathematical Methods in Physics.; Mathematical Physics.; Ordinary Differential Equations.; Partial Differential Equations.

This book serves as an introduction to the concept of integrability as it applies to systems of differential equations as well as to vector-valued fields. The author focuses on specific aspects of integrability that are often encountered in a variety of problems in applied mathematics, physics and e...

Table of Contents:

• Integrability on the plane and in space
• Integrability on the complex plane
• Ordinary differential equations
• Systems of ordinary differential equations
• Differential systems: Geometric viewpoint
• Integrable systems of partial differential equations.