

Bibliography for
the complex
numbers
short
- Quantum reality, complex numbers, and the meteorological
butterfly effect
Palmer, Tim N.
Bulletin of the American Meteorological Society, v 86, n 4, April,
2005, p 519-530, Compendex.
- Geometry of Generalized Complex Numbers
Anthony A. Harkin; Joseph B Harkin;
Mathematics Magazine, Vol. 77, No. 2, April 2004, pp.
118-129.
- Complex Numbers and Plane Geometry
Thierry Dana-Picard
Int. J. Math. Educ. Sci. Technol., 2003, vol. 34, no. 2, pp.
257-271.
- Fast Fourier Transforms Using the Complex Logarithmic Number
System
Arnold M.; Bailey T.; Cowles J.; Walter C.
The Journal of VLSI Signal Processing, March 2003, vol. 33, no. 3,
pp. 325-335(11), Ingenta.
- Geometrical aspects of a relation ordering the field of
complex numbers.
Kaczmarek, Jerzy
Zeszyty Nauk. Geom. 22 (2002), 39--52,
MathSciNet.
- Iterative decoding of codes over complex numbers
Haring, J.; Han Vinck, A.J.
IEEE International Symposium on Information Theory - Proceedings,
2001, p 25, Compendex.
- Drawing with complex numbers.
Eastwood, Michael; Penrose, Roger
Math. Intelligencer 22 (2000), no. 4, 8--13,
MathSciNet.
- Enhanced artificial neural networks using complex numbers
Michel, Howard E.; Awwal, A.A.S.
Proceedings of the International Joint Conference on Neural
Networks, v 1, 1999, p 456-461, Compendex.
- Sums
of Complex Numbers of Unit
Magnitude
Hubert Kiechle; A. N. 't Woord
The American Mathematical Monthly, Vol. 105, No. 5 (May, 1998), p.
469, Jstor.
- Constructing the complex numbers
Cuoco, A.
International Journal of Computers for Mathematical Learning, v 2,
n 2, 1997, p 155-186, Compendex.
- Arg
(in Notes)
John A. Baker; Willem Sluis
Mathematics Magazine, Vol. 70, No. 4. (Oct., 1997), p. 291,
Jstor.
- Rotations, complex numbers and quaternions
Tzanakis, C.
International Journal of Modern Physics A, v 10, n 8, 1995, p 45,
Compendex.
- On Santilli's isotopies of the theory of real numbers, complex
numbers, quaternions and octonions.
Kamiya, Noriaki
New frontiers in algebras, groups and geometries (Monteroduni,
1995), 523--551, Ser. New Front. Adv. Math. Ist. Ric. Base,
Hadronic Press, Palm Harbor, FL, 1996,
MathSciNet.
- Simplified optical complex multiplication using
quater-imaginary number representation
Guoqiang L.; Liren L.; Changhe Z.
Optics Communications, 15 December 1995, vol. 122, no. 1, pp.
16-22(7), Ingenta.
- Complex numbers and geometry.
Hahn, Liang-shin
MAA Spectrum. Mathematical Association of America, Washington, DC,
1994. x+192 pp. ISBN: 0-88385-510-0, MathSciNet.
- A
Perspective Into Ligand-Receptor Affinities Using Complex
Numbers
Irving M. Klotz
Proceedings of the National Academy of Sciences of the United
States of America, Vol. 90, No. 15 (Aug., 1993), pp. 7191-7194,
Jstor.
- A note on sums of powers of complex numbers.
Fabrykowski, J.
Acta Math. Hungar. 62 (1993), no. 3-4, 209--210,
MathSciNet.
- On some problems of P. Turán concerning power sums of
complex numbers.
Erdös, L.
Acta Math. Hungar. 59 (1992), no. 1-2, 11--24,
MathSciNet.
- Extending the Complex Number
System
Pineda, Anton and David C. Arney
Math. and Comp. Ed., (1991), V. 25, No. 1, pp.
10-16.
- A
Visit to the Newtonian N-Body Problem via Elementary Complex
Variables
Donald G. Saari
American Mathematical Monthly, Vol. 97, No. 2. (Feb., 1990), pp.
105-119, Jstor.
- Generalizations
of a Complex Number Identity (in Classroom
Capsules)
M. S. Klamkin; Alberta Murty; V. N. Murty
The College Mathematics Journal, Vol. 20, No. 5. (Nov., 1989), pp.
415-416, Jstor.
- Parameter
Determination for Complex Number-Theoretic Transforms Using
Cyclotomic Polynomials
R. Creutzburg; M. Tasche
Mathematics of Computation, Vol. 52, No. 185 (Jan., 1989), pp.
189-200, Jstor.
- Complex number multipliers.
Pekmestzi, K. Z. Source:
IEE Proceedings. Part E, Computers and Digital Techniques v. 136
(Jan. '89) p. 70-5, First Search.
- Complex Numbers and Pythagorean
Triples
Jackson, Margaret
The Math. Gazette, (1987), V. 71, No. 456, p. 127
- Power of Complex
Numbers
Kimberling, Clark
The Math. Teach., (1987), V. 80, No. 1, pp.
63-67.
- Formalism, Hamilton and complex numbers.
O'Neill, John
Stud. Hist. Philos. Sci. 17 (1986), no. 3, 351--372,
MathSciNet.
- Solvability
of Infinite Systems of Polynomial Equations Over the Field of
Complex Numbers
Alexander Abian
American Mathematical Monthly, Vol. 92, No. 2. (Feb., 1985), pp.
94-98, Jstor.
- Archimedes
and the Complex Plane
George M. Phillips
American Mathematical Monthly, Vol. 91, No. 2. (Feb., 1984), pp.
108-114, Jstor.
- Products
of Sets of Complex Numbers
Byron L. McAllister
The Two-Year College Mathematics Journal, Vol. 14, No. 5. (Nov.,
1983), pp. 390-397, Jstor.
- Proving
Pedoe's Inequality by Complex Number Computation (in
Notes)
Gengzhe Chang
American Mathematical Monthly, Vol. 89, No. 9. (Nov., 1982), p.
692, Jstor.
- An
Identity for Complex Numbers: Problem 80-15 (in
Solutions)
M. S. Klamkin; A. Meir
SIAM Review, Vol. 23, No. 3. (Jul., 1981), pp. 395-396,
Jstor.
- Applying
Complex Arithmetic
Herbert L. Holden
The Two-Year College Mathematics Journal, Vol. 12, No. 3. (Jun.,
1981), pp. 190-194, Jstor.
- A note on ordering the complex numbers.
Weimer, Richard C.
A collection of manuscripts related to the Fibonacci sequence, pp.
20--21, Fibonacci Assoc., Santa Clara, Calif., 1980,
MathSciNet.
- On Euler's Formula
Subramaniam, K. B.
Int. J. of Math. Ed. in Sci. and Tech., (1979), V. 10, No. 2, pp.
279.
- Algebraic
Equations Whose Roots Form Regular n-Gons in the Complex Plane (in
Classroom Notes)
Bolesh J. Skutnik
American Mathematical Monthly, Vol. 86, No. 9. (Nov., 1979), pp.
770-771, Jstor.
- A criterion for the algebraic dependence of two complex
numbers.
Dvornicich, Roberto
Boll. Un. Mat. Ital. A (5) 15 (1978), no. 3, 678--687,
MathSciNet.
- Can
the Complex Numbers Be Ordered? (in
Mathematical)
Richard C. Weimer
The Two-Year College Mathematics Journal, Vol. 7, No. 4. (Dec.,
1976), pp. 10-12, Jstor.
- Sets
of Complex Numbers
D. E. Daykin; A. Wilansky
Mathematics Magazine, Vol. 47, No. 4. (Sep., 1974), pp. 228-229,
Jstor.
- Shorter
Notes: Continued Fractions and Equivalent Complex
Numbers
Richard B. Lakein
Proceedings of the American Mathematical Society, Vol. 42, No. 2.
(Feb., 1974), pp. 641-642, Jstor.
- Complex
Numbers as Residue Classes of Polynomials mod (x^2 + 1) (in
Classroom Notes)
Rosemary Schmalz
The Two-Year College Mathematics Journal, Vol. 3, No. 2. (Autumn,
1972), pp. 78-80, Jstor.
- A
Categorical System of Axioms for the Complex
Numbers
W. Bosch; P. Krajkiewicz
Mathematics Magazine, Vol. 43, No. 2. (Mar., 1970), pp. 67-70,
Jstor.
- An
Inequality About Complex Numbers (in Classroom
Notes)
W. W. Bledsoe
American Mathematical Monthly, Vol. 77, No. 2. (Feb., 1970), pp.
180-182, Jstor.
- An Approach to Complex
Numbers
Willson, William Wynne
The Math. Gazette, (1970), V. 54, No. 390, pp.
342-346.
- Complex
Variables and Line-Coordinates
R. Kittappa
Mathematics Magazine, Vol. 41, No. 5. (Nov., 1968), pp. 269-272,
Jstor.
- Automorphisms
of the Complex Numbers
Paul B. Yale
Mathematics Magazine, Vol. 39, No. 3. (May, 1966), pp. 135-141,
Jstor.
- A
Note on the Operation of Multiplication in the Complex Plane (in
Classroom Notes)
D. J. Hansen
American Mathematical Monthly, Vol. 71, No. 2. (Feb., 1964), pp.
185-186, Jstor.
- Axioms
for Complex Numbers (in Mathematical
Notes)
D. H. Potts
American Mathematical Monthly, Vol. 70, No. 9. (Nov., 1963), pp.
974-975, Jstor.
- Plane
Geometry and Complex Numbers (in Miscellaneous
Notes)
Robert G. Blake
Mathematics Magazine, Vol. 35, No. 4. (Sep., 1962), pp. 239-242,
Jstor.
- A
Note on a Theorem in Complex Variables and Applications (in
Teaching of Mathematics)
Eugene M. Romer
Mathematics Magazine, Vol. 35, No. 3. (May, 1962), pp. 173-174,
Jstor.
- Equiangular
Complex Numbers (in Classroom Notes)
J. P. Ballantine
American Mathematical Monthly, Vol. 67, No. 7. (Aug. - Sep.,
1960), pp. 674-678, Jstor.
- The
Imaginary Number Problem (in Classroom
Notes)
A. W. McGaughey
American Mathematical Monthly, Vol. 64, No. 3. (Mar., 1957), pp.
193-194, Jstor.
- Complex
Numbers and Trigonometry
D. E. Richmond
American Mathematical Monthly, Vol. 64, No. 7. (Aug. - Sep.,
1957), pp. 478-485, Jstor.
- Introduction
to Complex Numbers
Louis E. Diamond
Mathematics Magazine, Vol. 30, No. 5. (May - Jun., 1957), pp.
233-249, Jstor.
- Complex
Numbers and their Graphical
Representation
Walter B. Carver
American Mathematical Monthly, Vol. 63, No. 9, Part 2: The
Conjugate Coordinate System for Plane Euclidean Geometry. (Nov.,
1956), pp. 1-7, Jstor.
- Introduction
of Complex Numbers as Vectors of the Plane (in Classroom
Notes)
L. Fuchs and T. Szele
American Mathematical Monthly, Vol. 59, No. 9. (Nov., 1952), pp.
628-631, Jstor.
- Complex
Numbers and Vector Algebra (in Classroom
Notes)
D. E. Richmond
American Mathematical Monthly, Vol. 58, No. 9. (Nov., 1951), pp.
622-628, Jstor.
- Convergence-
and Sum-Factors for Series of Complex
Numbers
E. Calabi; A. Dvoretzky
Transactions of the American Mathematical Society, Vol. 70, No. 1.
(Jan., 1951), pp. 177-194, Jstor.
- Open
Additive Semi-Groups of Complex Numbers
Einar Hille; Max Zorn
The Annals of Mathematics, 2nd Ser., Vol. 44, No. 3. (Jul., 1943),
pp. 554-561, Jstor.
- A
Paradox in Complex Numbers and Integration (in Questions,
Discussions, and Notes)
C. O. Oakley
American Mathematical Monthly, Vol. 47, No. 1. (Jan., 1940), pp.
37-39, Jstor.
- Applications
of Complex Numbers to Geometry of
Circles
Allen A. Shaw
National Mathematics Magazine, Vol. 14, No. 1. (Oct., 1939), pp.
26-36, Jstor.
- A
Note on Geometrical Applications of Complex Numbers (in Questions
and Discussions)
S. A. Schelkunoff
American Mathematical Monthly, Vol. 37, No. 6. (Jun. - Jul.,
1930), pp. 301-303, Jstor.
- On
the Use of Complex Numbers
W. Paul Webber
Mathematics News Letter, Vol. 4, No. 4. (Dec., 1929), pp. 15-16,
Jstor.
- Some
Geometrical Applications of Complex
Numbers
Lloyd L. Small
American Mathematical Monthly, Vol. 36, No. 10. (Dec., 1929), pp.
504-511, Jstor.
- A
Contribution of Leibniz to the History of Complex
Numbers
R. B. McClenon
American Mathematical Monthly, Vol. 30, No. 7. (Nov., 1923), pp.
369-374, Jstor.
- Discussions:
Definitions of Imaginary and Complex Numbers (in Questions and
Discussions)
Edward S. Allen
American Mathematical Monthly, Vol. 29, No. 8. (Sep., 1922), pp.
301-303, Jstor.
- Discussion:
Complex Numbers in Advanced Algebra (in Questions and
Discussions)
H. E. Webb
American Mathematical Monthly, Vol. 27, No. 11. (Nov., 1920), pp.
411-413, Jstor.
- Discussions:
Relating to the Graph of Y = f(X) for Complex Variables (in
Questions and Discussions)
E. L. Rees
American Mathematical Monthly, Vol. 25, No. 3. (Mar., 1918), p.
128, Jstor.
- Rational
Approximations to Irrational Complex
Number
Lester R. Ford
Transactions of the American Mathematical Society, Vol. 19, No. 1.
(Jan., 1918), pp. 1-42, Jstor.
- The
Graph of F(X) for Complex Numbers
A. F. Frumveller
American Mathematical Monthly, Vol. 24, No. 9. (Nov., 1917), pp.
409-420, Jstor.
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(c) John
H. Mathews 2006