English

Pythagoras, Binomial, and de Moivre Revisited Through Differential Equations

General Mathematics 2018-04-02 v1

Abstract

The classical Pythagoras theorem, binomial theorem, de Moivre's formula, and numerous other deductions are made using the uniqueness theorem for the initial value problems in linear ordinary differential equations.

Cite

@article{arxiv.1803.11458,
  title  = {Pythagoras, Binomial, and de Moivre Revisited Through Differential Equations},
  author = {Jitender Singh and Renu Bajaj},
  journal= {arXiv preprint arXiv:1803.11458},
  year   = {2018}
}

Comments

7 pages

R2 v1 2026-06-23T01:09:47.877Z