Aspects of Integrability of Differential Systems and Fields

  title={Aspects of Integrability of Differential Systems and Fields},
  author={Costas J. Papachristou},
  journal={arXiv: General Mathematics},
This monograph, written for educational purposes, serves as an introduction to the concept of integrability as it applies to systems of differential equations (both ordinary and partial) as well as to vector-valued fields. The general cases of integrability examined are: path-independence of line integrals of vector fields on the plane and in space; integration of systems of ordinary differential equations by using first integrals; and integrable systems of partial differential equations… Expand
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