The Fundamental Theorem of Algebra and Linear Algebra

@article{Derksen2003TheFT,
  title={The Fundamental Theorem of Algebra and Linear Algebra},
  author={Harm Derksen},
  journal={The American Mathematical Monthly},
  year={2003},
  volume={110},
  pages={620-623}
}
  • Harm Derksen
  • Published 2003 in The American Mathematical Monthly
The first widely accepted proof of the Fundamental Theorem of Algebra was published by Gauß in 1799 in his Ph.D. thesis, although to current standards this proof has gaps. Argand gave a proof (with only small gaps) in 1814 which was based on a flawed proof of d’Alembert of 1746. Many more proofs followed, including three more proofs by Gauß. For a more about the history of the Fundamental Theorem of Algebra, see [5, 6]. Proofs roughly can be divided up in three categories (see [3] for a… CONTINUE READING