D'Alembert's proof of the fundamental theorem of algebra

Christopher Baltus

doi:10.1016/j.hm.2003.12.001

D'Alembert's proof of the fundamental theorem of algebra

Christopher Baltus

Open Access

https://doi.org/10.1016/j.hm.2003.12.001

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Journal: Historia Mathematica	Publication Date: Mar 10, 2004
Citations: 5	License type: elsevier-specific: oa user license

Affiliation: State University of New York at Oswego

#Fundamental Theorem Of Algebra #Proof Of Theorem + Show 3 more

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Abstract

D'Alembert's proof of the fundamental theorem of algebra (FTA), the first published, is still widely misunderstood. Typical of d'Alembert, his work is bold and imaginative but in need of significant repair. The proof is examined in detail, in both the 1746 and 1754 versions, along with commentary over 250 years and recent efforts to revive d'Alembert's reputation. A particular challenge is to work with algebraic equations while avoiding dependence on the FTA itself. A repaired version is offered.

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