Bibliography for the Fundamental Theorem of Algebra

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  1. Yet Another Calculus Proof of the Fundamental Theorem of Algebra  
    Ralph Kopperman  
    The American Mathematical Monthly, December 2009, Vol. 116,  Number 10,  pp. 909.
  2. Lagrange multipliers and the Fundamental Theorem of Algebra
    Theo de Jong
    The American Mathematical Monthly, November 2009, Vol. 116,  Number 9, pp. 828-830.
  3. A Simple Complex Analysis and an Advanced Calculus Proof of the Fundamental Theorem of Algebra  
    Anton R. Schep  
    The American Mathematical Monthly, January 2009, Vol. 116,  Number 1,  pp. 67-68.
  4. The fundamental theorem of Algebra deduced from elementary Calculus
    José Carlos Santos
    The Mathematical Gazette, 2007, Vol. 91, Number 521, pp. 302-303.
  5. Yet Another Application of the Gauss-Bonnet Theorem for the Sphere
    (In this short note we prove the Fundamental Theorem of Algebra)
    J. M. Almira and A. Romero
    Bull. Belg. Math. Soc. Simon Stevin 14 (2007), pp. 341–342.
  6. From the Cauchy-Riemann Equations to the Fundamental Theorem of Algebra  
    Alan C. Lazer  
    Mathematics Magazine, Vol. 79, No. 3, June 2006,  pp. 210-213.
  7. On the Fundamental Theorem of Algebra
    T. E. Korner
    The American Mathematical Monthly, April 2006, Vol. 113, Number 4, pp. 347-348, Jstor.  
  8. A Nonstandard Proof of the Fundamental Theorem of Algebra
    George Leibman
    The American Mathematical Monthly, October 2005, Vol. 112, Number 8, pp. 705-712, Jstor.  
  9. Another Proof of the Fundamental theorem of Algebra
    Jose Carlos de Sousa Oliveira Santos
    The American Mathematical Monthly, January 2005, Vol. 112, Number 1, pp. 76-78, Jstor.  
  10. Green's theorem and the fundamental theorem of algebra
    Loya, Paul
    Amer. Math. Monthly 110 (2003), no. 10, 944--946, Jstor.
  11. Another topological proof of the fundamental theorem of algebra
    Almira, J. M.; Jiménez, M.; Del Toro, N.
    Elem. Math. 57 (2002), no. 1, 32--37, MathSciNet. 
  12. On the Fundamental Theorem of Algebra
    Mays J.
    Lithuanian Mathematical Journal, October 2002, vol. 42, no. 4, pp. 364-372(9), Ingenta.   
  13. Polynomial interpolation and a multivariate analog of the fundamental theorem of algebra.
    Hakopian, H. A.; Tonoyan, M. G.
    East J. Approx. 8 (2002), no. 3, 355--379, MathSciNet.  
  14. A graphical approach to understanding the fundamental theorem of algebra  
    Sudhir Kumar Goel, Denise T. Reid.
    Mathematics Teacher Dec 2001 v94 i9 p749(1), Expanded Academic.
  15. Fundamental theorem of albegra - yet another proof  
    Anindya Sen  
    The American Mathematical Monthly Nov 2000 v107 i9 p842(2), Expanded Academic.  
  16. A forgotten paper on the fundamental theorem of algebra  
    Frank Smithies  
    Notes and Records Roy. Soc. London 54 (2000), no. 3, 333--341, MathSciNet.   
  17. The fundamental theorem of algebra: a constructive development without choice  
    Fred Richman  
    Pacific J. Math. 196 (2000), no. 1, 213--230, MathSciNet.   
  18. An elementary proof of the fundamental theorem of algebra  
    Martin Kochol  
    Internat. J. Math. Ed. Sci. Tech. 30 (1999), no. 4, 614--615, MathSciNet.   
  19. A simple proof of the fundamental theorem of algebra  
    John Byl  
    Internat. J. Math. Ed. Sci. Tech. 30 (1999), no. 4, 602--603, MathSciNet.   
  20. The Fundamental Theorem of Algebra  
    Michael D. Hirschhorn  
    College Math Journal: Volume 29, Number 4, (1998), Pages: 276-277.   
  21. Another Proof of the Fundamental Theorem of Algebra (in Notes)  
    Daniel J. Velleman  
    Mathematics Magazine, Vol. 70, No. 3. (Jun., 1997), pp. 216-217, Jstor.  
  22. A Proof That Polynomials Have Roots  
    Uwe F. Mayer  
    College Math Journal: Volume 28, Number 1, (1997), Pages: 58.   
  23. On the fundamental theorem of algebra  
    Diego Vaggione  
    Colloq. Math. 73 (1997), no. 2, 193--194, MathSciNet.   
  24. An explicit proof of the fundamental theorem of algebra in the elementary theory of real numbers  
    Judit Robu  
    Modern applied analysis (Ilieni, 1997). Pure Math. Appl. 9 (1998), no. 1-2, 171--179, MathSciNet.   
  25. The fundamental theorem of algebra  
    Benjamin Fine; Gerhard Rosenberger  
    Undergraduate Texts in Mathematics. Springer-Verlag, New York, 1997. xii+208 pp. ISBN: 0-387-94657-8, MathSciNet.   
  26. Why Polynomials Have Roots  
    Javier Gomez-Calderon; David M. Wells  
    The College Mathematics Journal, Vol. 27, No. 2. (Mar., 1996), pp. 90-94, Jstor.  
  27. The fundamental theorem of algebra before Carl Friedrich Gauss  
    Josep Carrera  
    Publ. Mat. 36 (1992), no. 2B, 879--911 (1993), MathSciNet.   
  28. Euler and the Fundamental Theorem of Algebra  
    William Dunham  
    The College Mathematics Journal, Vol. 22, No. 4. (Sep., 1991), pp. 282-293, Jstor.  
  29. Plane Curves, Polar Coordinates and Winding Numbers  
    John A. Baker  
    Mathematics Magazine, Vol. 64, No. 2. (Apr., 1991), pp. 75-91, Jstor.  
  30. Gauss' first proof of the fundamental theorem of algebra  
    A. Fryant; V. L. N. Sarma  
    Math. Student 52 (1984), no. 1-4, 101--105 (1990), MathSciNet.   
  31. A theorem equivalent to the fundamental theorem of algebra  
    Alexander Abian; James A. Wilson  
    Nieuw Arch. Wisk. (4) 8 (1990), no. 1, 47--48, MathSciNet.   
  32. Finding Rational Roots of Polynomials (in Classroom Capsules)  
    Don Redmond  
    The College Mathematics Journal, Vol. 20, No. 2. (Mar., 1989), pp. 139-141, Jstor.  
  33. Graphing the Complex Zeros of Polynomials Using Modulus Surfaces  
    Cliff Long; Thomas Hern  
    The College Mathematics Journal, Vol. 20, No. 2. (Mar., 1989), pp. 98-105, Jstor.  
  34. Shorter Notes: On Gauss's First Proof of the Fundamental Theorem of Algebra  
    S. M. Gersten; John R. Stallings  
    Proceedings of the American Mathematical Society, Vol. 103, No. 1. (May, 1988), pp. 331-332, Jstor.  
  35. A new proof of the fundamental theorem of algebra  
    A. Abian  
    Caribbean J. Math. 5 (1986), no. 1, 9--12, MathSciNet.   
  36. Roots of Polynomials and Loci  
    Ali R. Amir-Moez  
    The Two-Year College Mathematics Journal, Vol. 14, No. 4. (Sep., 1983), pp. 313-317, Jstor.  
  37. An Advanced Calculus Proof of the Fundamental Theorem of Algebra (in Classroom Notes)  
    Frank Forelli  
    American Mathematical Monthly, Vol. 88, No. 5. (May, 1981), pp. 347-348, Jstor.  
  38. Proof of the Fundamental Theorem of Algebra  
    J. L. Brenner; R. C. Lyndon  
    American Mathematical Monthly, Vol. 88, No. 4. (Apr., 1981), pp. 253-256, Jstor.  
  39. Counterexamples from the Algebra of Polynomials over a Nonfield (in Mathematical)  
    Janet B. Pomeranz  
    The Two-Year College Mathematics Journal, Vol. 8, No. 1. (Jan., 1977), pp. 11-14, Jstor.  
  40. A proof of the fundamental theorem of algebra (Spanish)
    José Manuel Bayod  
    Gac. Mat. (Madrid) (1) 29 (1977), no. 5-6, 107--110, MathSciNet.   
  41. The Fundamental Theorem of Algebra (in Classroom Notes)  
    Frode Terkelsen  
    American Mathematical Monthly, Vol. 83, No. 8. (Oct., 1976), p. 647, Jstor.  
  42. A new proof of the fundamental theorem of algebra Pivoting and extensions.
    H. W. Kuhn  
    Math. Programming Stud. No. 1 (1974), 148--158, MathSciNet.   
  43. A Note on the Geometry of Zeros of Polynomials  
    C. A. Long  
    Mathematics Magazine, Vol. 44, No. 3. (May, 1971), pp. 157-159, Jstor.  
  44. Open Mappings and the Fundamental Theorem of Algebra  
    R. L. Thompson  
    Mathematics Magazine, Vol. 43, No. 1. (Jan., 1970), pp. 39-40, Jstor.  
  45. The Fundamental Theorem of Algebra  
    Paul J. Campbell  
    Pi Mu Epsilon J., (1967), V. 4, No. 6, pp. 243-247.   
  46. An Easy Proof of the Fundamental Theorem of Algebra (in Classroom Notes)  
    Charles Fefferman  
    American Mathematical Monthly, Vol. 74, No. 7. (Aug. - Sep., 1967), pp. 854-855, Jstor.  
  47. Proof of the Fundamental Theorem of Algebra (in Classroom Notes)  
    S. Wolfenstein  
    American Mathematical Monthly, Vol. 74, No. 7. (Aug. - Sep., 1967), pp. 853-854, Jstor.  
  48. On the Fundamental Theorem of Algebra  
    Hans Zassenhaus  
    American Mathematical Monthly, Vol. 74, No. 5. (May, 1967), pp. 485-497, Jstor.  
  49. A proof of the "Fundamental theorem of algebra" by means of Galois theory and 2-Sylow groups  
    L. Horowitz  
    Nieuw Arch. Wisk. (3) 14 1966 95--96, MathSciNet.   
  50. What! Another Note Just on the Fundamental Theorem of Algebra? (in Classroom Notes)  
    R. M. Redheffer  
    American Mathematical Monthly, Vol. 71, No. 2. (Feb., 1964), pp. 180-185, Jstor.  
  51. Yet Another Proof of the Fundamental Theorem of Algebra (in Mathematical Notes)  
    R. P. Boas, Jr.  
    American Mathematical Monthly, Vol. 71, No. 2. (Feb., 1964), p. 180, Jstor.  
  52. The Fundamental Theorem of Algebra (in Classroom Notes)  
    J. E. Eaton  
    American Mathematical Monthly, Vol. 67, No. 6. (Jun. - Jul., 1960), pp. 578-579, Jstor.  
  53. The Fundamental Theorem of Algebra (in Mathematical Notes)  
    Raymond Redheffer  
    American Mathematical Monthly, Vol. 64, No. 8. (Oct., 1957), pp. 582-585, Jstor.  
  54. On the fundamental theorem of algebra  
    T. Estermann  
    J. London Math. Soc. 31 (1956), 238--240, MathSciNet.   
  55. The Fundamental Theorem of Algebra (in Mathematical Notes)  
    S. Stein  
    American Mathematical Monthly, Vol. 61, No. 2. (Feb., 1954), p. 109, Jstor.  
  56. A Matric Proof of the Fundamental Theorem of Algebra for Real Quaternions (in Mathematical Notes)  
    Mark Leum; M. F. Smiley  
    American Mathematical Monthly, Vol. 60, No. 2. (Feb., 1953), pp. 99-100, Jstor.  
  57. Group Invariant Integration and the Fundamental Theorem of Algebra  
    Herbert Scarf  
    Proceedings of the National Academy of Sciences of the United States of America, Vol. 38, No. 5. (May 15, 1952), pp. 439-440, Jstor.  
  58. A Correction A Topological Proof of the Fundamental Theorem of Algebra (in Mathematical Notes)  
    B. H. Arnold; Ivan Niven
    American Mathematical Monthly, Vol. 58, No. 2. (Feb., 1951), p. 104, Jstor.  
  59. Extension of a Topological Proof of the Fundamental Theorem of Algebra (in Mathematical Notes)  
    Ivan Niven  
    American Mathematical Monthly, Vol. 57, No. 4. (Apr., 1950), pp. 246-248, Jstor.  
  60. A Topological Proof of the Fundamental Theorem of Algebra (in Mathematical Notes)  
    B. H. Arnold  
    American Mathematical Monthly, Vol. 56, No. 7. (Aug. - Sep., 1949), pp. 465-466, Jstor.  
  61. One More Proof of the Fundamental Theorem of Algebra (in Mathematical Notes)  
    N. C. Ankeny  
    American Mathematical Monthly, Vol. 54, No. 8. (Oct., 1947), p. 464, Jstor.  
  62. An Elementary Constructive Proof of the Fundamental Theorem of Algebra  
    P. C. Rosenbloom  
    American Mathematical Monthly, Vol. 52, No. 10. (Dec., 1945), pp. 562-570, Jstor.  
  63. The "fundamental theorem of algebra" for quaternions"
    Samuel Eilenberg; Ivan Niven  
    Bull. Amer. Math. Soc. 50, (1944). 246--248, MathSciNet.   
  64. A Proof of the Fundamental Theorem of Algebra (in Questions, Discussions, and Notes)  
    R. P. Boas, Jr.  
    American Mathematical Monthly, Vol. 42, No. 8. (Oct., 1935), pp. 501-502, Jstor.  
  65. On the Fundamental Theorem of Algebra  
    W. Paul Webber  
    Mathematics News Letter, Vol. 7, No. 5. (Feb., 1933), pp. 9-13, Jstor.  
  66. On Certain Proofs of the Fundamental Theorem of Algebra  
    Robert E. Moritz  

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