On Gauss’s First Proof of the Fundamental Theorem of Algebra

DOI10.4169/amer.math.monthly.124.8.688zbMath1391.30002arXiv1704.06585OpenAlexW2964253997WikidataQ58301184 ScholiaQ58301184MaRDI QIDQ4575416

Daniel J. Velleman, Soham Basu

Publication date: 13 July 2018

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1704.06585

Mathematics Subject Classification ID

History of mathematics in the 18th century (01A50) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Polynomials in real and complex fields: location of zeros (algebraic theorems) (12D10) History of functions of a complex variable (30-03)

Related Items (4)

A NOTE ON THE FUNDAMENTAL THEOREM OF ALGEBRA ⋮ STRICTLY REAL FUNDAMENTAL THEOREM OF ALGEBRA USING POLYNOMIAL INTERLACING ⋮ Application of Adomian decomposition method to nonlinear systems ⋮ Simple proof of existence of a complex eigenvalue of a complex square matrix …and yet another proof of the fundamental theorem of algebra with linear algebra

Cites Work

• Unnamed Item
• Harmonic algebraic curves and noncrossing partitions
• Mathematics and Its History
• Shorter Notes: On Gauss's First Proof of the Fundamental Theorem of Algebra
• The fundamental theorem of algebra and complexity theory

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