

Bibliography for
the
Fundamental Theorem of
Algebra
unabridged
- 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.
- 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.
341342.
- 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.
- On the Fundamental Theorem of
Algebra
T. E. Korner
The American Mathematical Monthly, April 2006, Vol. 113, Number 4,
pp. 347-348, Jstor.
- 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.
- Another Proof of the Fundamental theorem
of Algebra
Jose Carlos de Sousa Oliveria Santos
The American Mathematical Monthly, January 2005, Vol. 112, Number
1, pp. 76-78, Jstor.
- Green's theorem and the fundamental
theorem of algebra
Loya, Paul
Amer. Math. Monthly 110 (2003), no. 10, 944--946, Jstor.
- 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.
- On the Fundamental Theorem of Algebra
Mays J.
Lithuanian Mathematical Journal, October 2002, vol. 42, no. 4, pp.
364-372(9), Ingenta.
- 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.
- 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.
- Une démonstration élémentaire du
théorème fondamental d'algèbre. (French)
[An elementary proof of the fundamental theorem of
algebra]
Nakaoka, Akira
Mem. Fac. Engrg. Design Kyoto Inst. Tech. Ser. Sci. Tech. 50
(2001), 9--12 (2002), MathSciNet.
- Fundamental theorem of albegra - yet
another proof
Anindya Sen
The American Mathematical Monthly Nov 2000 v107 i9 p842(2),
Expanded Academic.
- On a kind of function equations and the fundamental theorem of
algebra
Won Sok Yoo
Bull. Korean Math. Soc. 37 (2000), no. 4, 669--674,
MathSciNet.
- A forgotten paper on the fundamental theorem of
algebra
Frank Smithies
Notes and Records Roy. Soc. London 54 (2000), no. 3, 333--341,
MathSciNet.
- The fundamental theorem of algebra: a constructive development
without choice
Fred Richman
Pacific J. Math. 196 (2000), no. 1, 213--230,
MathSciNet.
- An elementary proof of the fundamental
theorem of algebra
Martin Kochol
Internat. J. Math. Ed. Sci. Tech. 30 (1999), no. 4, 614--615,
MathSciNet.
- A simple proof of the fundamental
theorem of algebra
John Byl
Internat. J. Math. Ed. Sci. Tech. 30 (1999), no. 4, 602--603,
MathSciNet.
- The Fundamental Theorem of
Algebra
Michael D. Hirschhorn
College Math Journal: Volume 29, Number 4, (1998), Pages:
276-277.
- Errata to: "On the fundamental theorem of
algebra" [Colloq. Math. 73 (1997), no. 2, 193--194;
MR 97m:30003].
Diego Vaggione
Colloq. Math. 77 (1998), no. 2, 321,
MathSciNet.
- 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.
- A Proof That Polynomials Have
Roots
Uwe F. Mayer
College Math Journal: Volume 28, Number 1, (1997), Pages:
58.
- On the fundamental theorem of algebra
Diego Vaggione
Colloq. Math. 73 (1997), no. 2, 193--194,
MathSciNet.
- 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.
- A theorem equivalent to Picard's Little theorem and a
derivation of the fundamental theorem of algebra
Paula Kemp; Alexander Abian
Far East J. Math. Sci. 5 (1997), no. 4, 623--626,
MathSciNet.
- 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.
- Why
Polynomials Have Roots
Javier Gomez-Calderon; David M. Wells
The College Mathematics Journal, Vol. 27, No. 2. (Mar., 1996), pp.
90-94, Jstor.
- Supersymmetry, vacuum statistics, and the fundamental theorem
of algebra
Donald Spector
Comm. Math. Phys. 177 (1996), no. 1, 13--25,
MathSciNet.
- A probabilistic proof of the fundamental theorem of algebra
and a generalization (Chinese)
Shun Long Luo
Math. Appl. 8 (1995), no. 4, 487--489,
MathSciNet.
- Vom Fundamentalsatz der Algebra zum Satz von Gelfand-Mazur,"
(German) [From the fundamental theorem of algebra to the
theorem of Gelfand-Mazur]
Reinhold Vom Remmert
Math. Semesterber. 40 (1993), no. 1, 63--71,
MathSciNet.
- The fundamental theorem of algebra before Carl Friedrich
Gauss
Josep Carrera
Publ. Mat. 36 (1992), no. 2B, 879--911 (1993),
MathSciNet.
- Euler
and the Fundamental Theorem of Algebra
William Dunham
The College Mathematics Journal, Vol. 22, No. 4. (Sep., 1991), pp.
282-293, Jstor.
- Plane
Curves, Polar Coordinates and Winding
Numbers
John A. Baker
Mathematics Magazine, Vol. 64, No. 2. (Apr., 1991), pp. 75-91,
Jstor.
- Sur l'histoire du théorème fondamental de
l'algèbre: théorie des équations et calcul
intégral," (French) [On the history of the fundamental
theorem of algebra: the theory of equations and integral
calculus]
Christian Gilain
Arch. Hist. Exact Sci. 42 (1991), no. 2, 91--136,
MathSciNet.
- 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.
- 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.
- Finding
Rational Roots of Polynomials (in Classroom
Capsules)
Don Redmond
The College Mathematics Journal, Vol. 20, No. 2. (Mar., 1989), pp.
139-141, Jstor.
- 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.
- 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.
- Beweis des Fundamentalsatzes der Algebra als Anwendung des
Spernerschen Lemmas," (German) [Proof of the fundamental
theorem of algebra as application of Sperner's
lemma]
Hermann Hering
Math. Semesterber. 34 (1987), no. 1, 65--70,
MathSciNet.
- A new proof of the fundamental theorem of
algebra
A. Abian
Caribbean J. Math. 5 (1986), no. 1, 9--12,
MathSciNet.
- On the impossibility of a fixed point proof of the fundamental
theorem of algebra
Alexandru Aleman
Seminar on mathematical analysis (Cluj-Napoca, 1985), 157--161,
Preprint, 85-7, Univ. "Babecs-Bolyai", Cluj-Napoca, 1985,
MathSciNet.
- On fundamental theorem of algebra
S. Ghosh
Bull. Calcutta Math. Soc. 76 (1984), no. 6, 349--350,
MathSciNet.
- Zum Fundamentalsatz der Algebra (German) [On the
fundamental theorem of algebra]
Hermann Hering
Elem. Math. 39 (1984), no. 2, 38--42,
MathSciNet.
- A Brouwer type coincidence theorem and the fundamental theorem
of algebra
M. M. Dodson
Canad. Math. Bull. 27 (1984), no. 4, 478--480,
MathSciNet.
- 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.
- A multivariable form of the fundamental theorem of
algebra.
Salzberg, Pablo M.
Canad. Math. Bull. 26 (1983), no. 3, 271--272,
MathSciNet.
- Zum Fundamentalsatz der Algebra (German) [On the
fundamental theorem of algebra]
Hans-Joachim Kowalsky
Abh. Braunschweig. Wiss. Ges. 35 (1983), 111--120,
MathSciNet.
- 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.
- 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.
- The fundamental theorem of algebra and complexity
theory
Steve Smale
Bull. Amer. Math. Soc. (N.S.) 4 (1981), no. 1, 1--36,
MathSciNet.
- Herausragende Einzelleistungen im Zusammenhang mit der
Kreisteilungsgleichung, dem Fundamentalsatz der Algebra und der
Reihenkonvergenz. (German) [Notable individual accomplishments
in connection with the cyclotomic equation, the fundamental
theorem of algebra, and series convergence]
Schneider, Ivo
Carl Friedrich Gauß (1777--1855), pp. 37--63,
Wissenschaftsgeschichte, Minerva, Munich, 1981,
MathSciNet.
- 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.
- A proof of the fundamental theorem of algebra (Spanish)
José Manuel Bayod
Gac. Mat. (Madrid) (1) 29 (1977), no. 5-6, 107--110,
MathSciNet.
- Gauss and the fundamental theorem of
algebra (Dutch)
R. C. F. Kooistra
Nieuw Tijdschr. Wisk. 64 (1976/77), no. 4, 173--175,
MathSciNet.
- The
Fundamental Theorem of Algebra (in Classroom
Notes)
Frode Terkelsen
American Mathematical Monthly, Vol. 83, No. 8. (Oct., 1976), p.
647, Jstor.
- A new proof of the fundamental theorem of algebra Pivoting and
extensions.
H. W. Kuhn
Math. Programming Stud. No. 1 (1974), 148--158,
MathSciNet.
- From the history of the analytic proofs of the fundamental
theorem of algebra," (Russian)
S. S. Petrova
History and methodology of the natural sciences, No. XIV:
Mathematics, mechanics (Russian), pp. 167--172. Izdat. Moskov.
Univ., Moscow, 1973, MathSciNet.
- A
Note on the Geometry of Zeros of
Polynomials
C. A. Long
Mathematics Magazine, Vol. 44, No. 3. (May, 1971), pp. 157-159,
Jstor.
- Open
Mappings and the Fundamental Theorem of
Algebra
R. L. Thompson
Mathematics Magazine, Vol. 43, No. 1. (Jan., 1970), pp. 39-40,
Jstor.
- The first proof of the fundamental theorem of algebra,"
(Bulgarian)
Svetlana S. Petrova
Fiz.-Mat. Spis. Bcdprime lgar. Akad. Nauk. 13(46) (1970),
205--210, MathSciNet.
- The Fundamental Theorem of
Algebra
Paul J. Campbell
Pi Mu Epsilon J., (1967), V. 4, No. 6, pp.
243-247.
- 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.
- 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.
- On
the Fundamental Theorem of Algebra
Hans Zassenhaus
American Mathematical Monthly, Vol. 74, No. 5. (May, 1967), pp.
485-497, Jstor.
- A constructive form of the second Gauss proof of the
fundamental theorem of algebra
R. L. Goodstein
1969 Constructive Aspects of the Fundamental Theorem of Algebra
(Proc. Sympos., Zürich-Rüschlikon, 1967) pp. 69--76
Wiley-Interscience, New York, MathSciNet.
- Constructive aspects of the fundamental theorem of
algebra
Bruno Dejon; Peter Henrici, Editors
Proceedings of a Symposium Conducted at the IBM Research
Laboratory, Zürich-Rüschlikon, June 5-7, 1967.
Wiley-Interscience A Division of John Wiley & Sons, Ltd.,
London-New York-Sydney 1969 vii+337 pp.,
MathSciNet.
- The fundamental theorem of algebra in recursive analysis.
Specker, E.
1969 Constructive Aspects of the Fundamental Theorem of Algebra
(Proc. Sympos., Zürich-Rüschlikon, 1967) pp. 321--329
Wiley-Interscience, New York, MathSciNet.
- The fundamental theorem of algebra for polyanalytic
polynomials (Russian)
M. B. Balk
Litovsk. Mat. Sb. 8 1968 401--404,
MathSciNet.
- 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.
- 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.
- 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.
- 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.
- Generalizations of the Fundamental Theorem of
Algebra
M. Reichbach
Bull. Res. Council Israel Sect. F 7F 1958 155--164 (1958),
MathSciNet.
- The
Fundamental Theorem of Algebra (in Mathematical
Notes)
Raymond Redheffer
American Mathematical Monthly, Vol. 64, No. 8. (Oct., 1957), pp.
582-585, Jstor.
- A new proof of the fundamental theorem of algebra
(Chinese)
Heng-san Kao
Advancement in Math. 3 1957 608--611,
MathSciNet.
- On the fundamental theorem of algebra
T. Estermann
J. London Math. Soc. 31 (1956), 238--240,
MathSciNet.
- The
Fundamental Theorem of Algebra (in Mathematical
Notes)
S. Stein
American Mathematical Monthly, Vol. 61, No. 2. (Feb., 1954), p.
109, Jstor.
- On the fundamental theorem of algebra
Kanesiroo Iseki
J. Math. Soc. Japan 6, (1954). 129--130,
MathSciNet.
- 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.
- 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.
- 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.
- 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.
- 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.
- On the fundamental theorem of algebra III.
J. G. van der Corput
Nederl. Akad. Wetensch., Proc. 49, (1946) 985--994 = Indagationes
Math. 8, 605--614 (1946), MathSciNet.
- On the fundamental theorem of algebra I, II.
J. G. van der Corput
Nederl. Akad. Wetensch., Proc. 49, (1946) 722--732, 878--886
=Indagationes Math. 8, 430--440, 549--557 (1946),
MathSciNet.
- 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.
- 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.
- The "fundamental theorem of algebra" for quaternions"
Samuel Eilenberg; Ivan Niven
Bull. Amer. Math. Soc. 50, (1944). 246--248,
MathSciNet.
- Exercise on the fundamental theorem of algebra
(Norwegian)
Carl Størmer
Norsk Mat. Tidsskr. 24, (1942). 33--42,
MathSciNet.
- A comment on the essay "The fundamental theorem of algebra and
intuitionism"
D. van Dalen
Math. Z. 46 (1940), 287--302, MathSciNet.
- 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.
- On
the Fundamental Theorem of Algebra
W. Paul Webber
Mathematics News Letter, Vol. 7, No. 5. (Feb., 1933), pp. 9-13,
Jstor.
- On
Certain Proofs of the Fundamental Theorem of
Algebra
Robert E. Moritz
American Mathematical Monthly, Vol. 10, No. 6/7. (Jun. - Jul.,
1903), pp. 159-161, Jstor.
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(c) John
H. Mathews 2006