Bibliography for the complex numbers

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  1. 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.
  2. Geometry of Generalized Complex Numbers  
    Anthony A. Harkin;  Joseph B Harkin;
    Mathematics Magazine, Vol. 77, No. 2, April 2004, pp. 118-129.  
  3. Complex Numbers and Plane Geometry  
    Thierry Dana-Picard  
    Int. J. Math. Educ. Sci. Technol., 2003, vol. 34, no. 2, pp. 257-271.
  4. 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.  
  5. Geometrical aspects of a relation ordering the field of complex numbers.
    Kaczmarek, Jerzy
    Zeszyty Nauk. Geom. 22 (2002), 39--52, MathSciNet.  
  6. Iterative decoding of codes over complex numbers
    Haring, J.; Han Vinck, A.J.
    IEEE International Symposium on Information Theory - Proceedings, 2001, p 25, Compendex.
  7. Drawing with complex numbers.
    Eastwood, Michael; Penrose, Roger
    Math. Intelligencer 22 (2000), no. 4, 8--13, MathSciNet.  
  8. 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.
  9. 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.   
  10. Constructing the complex numbers
    Cuoco, A.
    International Journal of Computers for Mathematical Learning, v 2, n 2, 1997, p 155-186, Compendex.
  11. Arg (in Notes)  
    John A. Baker; Willem Sluis  
    Mathematics Magazine, Vol. 70, No. 4. (Oct., 1997), p. 291, Jstor.  
  12. Rotations, complex numbers and quaternions
    Tzanakis, C.
    International Journal of Modern Physics A, v 10, n 8, 1995, p 45, Compendex.
  13. 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.  
  14. 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.   
  15. 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.  
  16. 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.  
  17. A note on sums of powers of complex numbers.
    Fabrykowski, J.
    Acta Math. Hungar. 62 (1993), no. 3-4, 209--210, MathSciNet.  
  18. 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.  
  19. Extending the Complex Number System  
    Pineda, Anton and David C. Arney  
    Math. and Comp. Ed., (1991), V. 25, No. 1, pp. 10-16.  
  20. 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.  
  21. 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.  
  22. 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.  
  23. Complex number multipliers.
    Pekmestzi, K. Z. Source:
    IEE Proceedings. Part E, Computers and Digital Techniques v. 136 (Jan. '89) p. 70-5, First Search.
  24. Complex Numbers and Pythagorean Triples  
    Jackson, Margaret  
    The Math. Gazette, (1987), V. 71, No. 456, p. 127  
  25. Power of Complex Numbers  
    Kimberling, Clark  
    The Math. Teach., (1987), V. 80, No. 1, pp. 63-67.  
  26. Formalism, Hamilton and complex numbers.
    O'Neill, John
    Stud. Hist. Philos. Sci. 17 (1986), no. 3, 351--372, MathSciNet.  
  27. 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.  
  28. Archimedes and the Complex Plane  
    George M. Phillips  
    American Mathematical Monthly, Vol. 91, No. 2. (Feb., 1984), pp. 108-114, Jstor.  
  29. 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.  
  30. Proving Pedoe's Inequality by Complex Number Computation (in Notes)  
    Gengzhe Chang  
    American Mathematical Monthly, Vol. 89, No. 9. (Nov., 1982), p. 692, Jstor.  
  31. 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.  
  32. Applying Complex Arithmetic  
    Herbert L. Holden  
    The Two-Year College Mathematics Journal, Vol. 12, No. 3. (Jun., 1981), pp. 190-194, Jstor.  
  33. 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.  
  34. On Euler's Formula [Graphics:../Images/ComplexNumbersBib_gr_1.gif]  
    Subramaniam, K. B.  
    Int. J. of Math. Ed. in Sci. and Tech., (1979), V. 10, No. 2, pp. 279.  
  35. 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.  
  36. 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.  
  37. 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.  
  38. Sets of Complex Numbers  
    D. E. Daykin; A. Wilansky  
    Mathematics Magazine, Vol. 47, No. 4. (Sep., 1974), pp. 228-229, Jstor.  
  39. 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.  
  40. 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.  
  41. 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.  
  42. An Inequality About Complex Numbers (in Classroom Notes)  
    W. W. Bledsoe  
    American Mathematical Monthly, Vol. 77, No. 2. (Feb., 1970), pp. 180-182, Jstor.  
  43. An Approach to Complex Numbers  
    Willson, William Wynne  
    The Math. Gazette, (1970), V. 54, No. 390, pp. 342-346.  
  44. Complex Variables and Line-Coordinates  
    R. Kittappa  
    Mathematics Magazine, Vol. 41, No. 5. (Nov., 1968), pp. 269-272, Jstor.  
  45. Automorphisms of the Complex Numbers  
    Paul B. Yale  
    Mathematics Magazine, Vol. 39, No. 3. (May, 1966), pp. 135-141, Jstor.  
  46. 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.  
  47. Axioms for Complex Numbers (in Mathematical Notes)  
    D. H. Potts  
    American Mathematical Monthly, Vol. 70, No. 9. (Nov., 1963), pp. 974-975, Jstor.  
  48. Plane Geometry and Complex Numbers (in Miscellaneous Notes)  
    Robert G. Blake  
    Mathematics Magazine, Vol. 35, No. 4. (Sep., 1962), pp. 239-242, Jstor.  
  49. 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.  
  50. Equiangular Complex Numbers (in Classroom Notes)  
    J. P. Ballantine  
    American Mathematical Monthly, Vol. 67, No. 7. (Aug. - Sep., 1960), pp. 674-678, Jstor.  
  51. The Imaginary Number Problem (in Classroom Notes)  
    A. W. McGaughey  
    American Mathematical Monthly, Vol. 64, No. 3. (Mar., 1957), pp. 193-194, Jstor.  
  52. Complex Numbers and Trigonometry  
    D. E. Richmond  
    American Mathematical Monthly, Vol. 64, No. 7. (Aug. - Sep., 1957), pp. 478-485, Jstor.  
  53. Introduction to Complex Numbers  
    Louis E. Diamond  
    Mathematics Magazine, Vol. 30, No. 5. (May - Jun., 1957), pp. 233-249, Jstor.  
  54. 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.  
  55. 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.  
  56. Complex Numbers and Vector Algebra (in Classroom Notes)  
    D. E. Richmond  
    American Mathematical Monthly, Vol. 58, No. 9. (Nov., 1951), pp. 622-628, Jstor.  
  57. 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.  
  58. 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.  
  59. 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.  
  60. Applications of Complex Numbers to Geometry of Circles  
    Allen A. Shaw  
    National Mathematics Magazine, Vol. 14, No. 1. (Oct., 1939), pp. 26-36, Jstor.  
  61. 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.  
  62. On the Use of Complex Numbers  
    W. Paul Webber  
    Mathematics News Letter, Vol. 4, No. 4. (Dec., 1929), pp. 15-16, Jstor.  
  63. Some Geometrical Applications of Complex Numbers  
    Lloyd L. Small  
    American Mathematical Monthly, Vol. 36, No. 10. (Dec., 1929), pp. 504-511, Jstor.  
  64. 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.  
  65. 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.  
  66. 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.  
  67. 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.  
  68. 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.  
  69. 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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