Bibliography for the history of complex numbers

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  1. Documenting Riemann's impact on the theory of complex functions.  
    Neuenschwander, E.
    Math. Intelligencer  20  (1998),  no. 3, 19--26, MathSciNet.  
  2. Solving a Polynomial Equation: Some History and Recent Progress  
    Victor Y. Pan  
    SIAM Review, Vol. 39, No. 2. (Jun., 1997), pp. 187-220, Jstor.  
  3. Three Secrets About Harmonic Functions (in Notes)  
    R. B. Burckel  
    The American Mathematical Monthly, Vol. 104, No. 1. (Jan., 1997), pp. 52-56 Jstor.  
  4. History and Uses of Complex Numbers  
    Nievergelt, Yves  
    UMAP, Module 743, (1997), pp. 1-66, COMAP, Inc. Lexington, MA 02420 USA. COMAP   
  5. The Geometry of Harmonic Functions  
    Tristan Needham  
    Mathematics Magazine, Vol. 67, No. 2. (Apr., 1994), pp. 92-108, Jstor.  
  6. The fundamental theorem of algebra before Carl Friedrich Gauss  
    Josep Carrera  
    Publ. Mat. 36 (1992), no. 2B, 879--911 (1993), MathSciNet.   
  7. Locality, Complex Numbers, and Relativistic Quantum Theory (in Quantum Theory II)  
    Simon W. Saunders  
    PSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association, Vol. 1992, Volume One: Contributed Papers. (1992), pp. 365-380, Jstor.  
  8. Extending the Complex Number System  
    Thor, Anton and Ivan Pineda and David C. Arney  
    Math. and Computer Education, (1991), Vol. 25, No. 1, pp. 10-16.
  9. The birth of complex numbers. (Catalan)
    Molas, Cori; Pérez, Juli
    Butl. Soc. Catalana Mat. No. 5 (1990), 37--66, MathSciNet.  
  10. Thinking the Unthinkable: The Story of Complex Numbers (with a Moral)  
    Kleiner, Israel  
    The Math. Teach., (1988), V. 81, No. 7, p. 583-92.
  11. A Classroom Note: on Elementary Use of Complex Numbers  
    Azarnia, Nozar  
    Math. and Comp. Ed., (1987), Vol 21, No. 2, pp. 135-136.
  12. Harmonic Functions from a Complex Analysis Viewpoint  
    Sheldon Axler  
    The American Mathematical Monthly, Vol. 93, No. 4. (Apr., 1986), pp. 246-258, Jstor.  
  13. Development of complex numbers: a historical account.
    Lal, Sunder
    Math. Ed. 3 (1986), no. 1, 35--38, MathSciNet.  
  14. 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.   
  15. The introduction of complex numbers.
    Crossley, John N.
    Math. Medley 8 (1980), no. 1, 7--11, MathSciNet.  
  16. Studies in the history of complex function theory. I.
    Neuenschwander, E.
    The Casorati-Weierstrass theorem. Historia Math. 5 (1978), no. 2, 139--166, MathSciNet.  
  17. An interpretation of Viète's Calculus of triangles as a precursor of the algebra of complex numbers.
    Glushkov, Stanislav
    Historia Math. 4 (1977), 127--136, MathSciNet.  
  18. The Historical Development of Complex Numbers  
    Green, D. R.  
    The Math. Gazette, (1976), V. 60, No. 412, pp. 99-107.
  19. History of the Riemann Mapping Theorem  
    J. L. Walsh  
    The American Mathematical Monthly, Vol. 80, No. 3. (Mar., 1973), pp. 270-276, Jstor.  
  20. A History of the Prime Number Theorem  
    L. J. Goldstein  
    The American Mathematical Monthly, Vol. 80, No. 6. (Jun. - Jul., 1973), pp. 599-615, Jstor.  
  21. Highlights in the History of Spectral Theory  
    L. A. Steen  
    The American Mathematical Monthly, Vol. 80, No. 4. (Apr., 1973), pp. 359-381, Jstor.  
  22. History in the Mathematics Curriculum: Its Status, Quality, and Function  
    R. L. Wilder  
    The American Mathematical Monthly, Vol. 79, No. 5. (May, 1972), pp. 479-495, Jstor.  
  23. Notes on the History of the Uses of Analyticity in Operator Theory  
    Angus E. Taylor  
    The American Mathematical Monthly, Vol. 78, No. 4. (Apr., 1971), pp. 331-342, Jstor.  
  24. Introduction to Complex Numbers  
    Louis E. Diamond  
    Mathematics Magazine, Vol. 30, No. 5. (May - Jun., 1957), pp. 233-249, Jstor.  
  25. Notes on the History of the General Equations of Hydrodynamics  
    C. Truesdell  
    The American Mathematical Monthly, Vol. 60, No. 7. (Aug. - Sep., 1953), pp. 445-458, Jstor.  
  26. Introduction of Complex Numbers as Vectors of the Plane (in Classroom Notes)  
    L. Fuchs  
    The American Mathematical Monthly, Vol. 59, No. 9. (Nov., 1952), pp. 628-631, Jstor.  
  27. Analytic Functions Related to Primes  
    R. M. Redheffer  
    Mathematics Magazine, Vol. 24, No. 3. (Jan. - Feb., 1951), pp. 135-138, Jstor.  
  28. History of Mathematics After the Sixteenth Century  
    Raymond Clare Archibald  
    The American Mathematical Monthly, Vol. 56, No. 1, Part 2: Outline of the History of Mathematics. (Jan., 1949), pp. 35-56, Jstor.  
  29. The Use of Mathematicians in the Aircraft Industry (in History and Humanism)  
    William Bollay  
    Mathematics Magazine, Vol. 21, No. 2. (Nov. - Dec., 1947), pp. 105-109, Jstor.  
  30. An Eleventh Lesson in the History of Mathematics (in History and Humanism)  
    G. A. Miller  
    Mathematics Magazine, Vol. 21, No. 1. (Sep. - Oct., 1947), pp. 48-55, Jstor.  
  31. A Tenth Lesson in the History of Mathematics (in Humanism and History of Mathematics)  
    G. A. Miller  
    National Mathematics Magazine, Vol. 19, No. 6. (Mar., 1945), pp. 286-293, Jstor.  
  32. Gauss and the Early Development of Algebraic Numbers (in Humanism and History of Mathematics)  
    E. T. Bell  
    National Mathematics Magazine, Vol. 18, No. 5. (Feb., 1944), pp. 188-204, Jstor.  
  33. A Sixth Lesson in the History of Mathematics (in Humanism and History of Mathematics)  
    G. A. Miller  
    National Mathematics Magazine, Vol. 17, No. 8. (May, 1943), pp. 341-351, Jstor.  
  34. A Fifth Lesson in the History of Mathematics (in Humanism and History of Mathematics)  
    G. A. Miller  
    National Mathematics Magazine, Vol. 17, No. 5. (Feb., 1943), pp. 212-220, Jstor.  
  35. A Fourth Lesson in the History of Mathematics (in Humanism and History of Mathematics)  
    G. A. Miller  
    National Mathematics Magazine, Vol. 17, No. 1. (Oct., 1942), pp. 13-20, Jstor.  
  36. Third Lesson in the History of Mathematics (in Humanism and History of Mathematics)  
    G. A. Miller  
    National Mathematics Magazine, Vol. 15, No. 5. (Feb., 1941), pp. 234-244, Jstor.  
  37. The Nature of Mathematics (in Humanism and History of Mathematics)  
    A. L. O'Toole  
    National Mathematics Magazine, Vol. 13, No. 7. (Apr., 1939), pp. 323-328, Jstor.  
  38. A Second Lesson in the History of Mathematics (in Humanism and History of Mathematics)  
    G. A. Miller  
    National Mathematics Magazine, Vol. 14, No. 3. (Dec., 1939), pp. 144-152, Jstor.  
  39. Sidelights on the Cardan-Tartaglia Controversy (in Humanism and History of Mathematics)  
    Martin A. Nordgaard  
    National Mathematics Magazine, Vol. 12, No. 7. (Apr., 1938), pp. 327-346, Jstor.  
  40. The History of Blissard's Symbolic Method, with a Sketch of its Inventor's Life  
    E. T. Bell  
    The American Mathematical Monthly, Vol. 45, No. 7. (Aug. - Sep., 1938), pp. 414-421, Jstor.  
  41. Conformal Representation, with Applications to Problems of Applied Mathematics  
    Warren Weaver  
    The American Mathematical Monthly, Vol. 39, No. 8. (Oct., 1932), pp. 448-473, Jstor.  
  42. The History of the Solution of the Cubic Equation  
    Lucye Guilbeau  
    Mathematics News Letter, Vol. 5, No. 4. (Dec., 1930), pp. 8-12, Jstor.  
  43. A Contribution of Leibniz to the History of Complex Numbers  
    R. B. McClenon  
    The American Mathematical Monthly, Vol. 30, No. 7. (Nov., 1923), pp. 369-374, Jstor.  
  44. On Quaternions and Their Generalization and the History of the Eight Square Theorem  
    L. E. Dickson  
    The Annals of Mathematics, 2nd Ser., Vol. 20, No. 3. (Mar., 1919), pp. 155-171, Jstor.  
  45. History of the Exponential and Logarithmic Concepts  
    Florian Cajori  
    The American Mathematical Monthly, Vol. 20, No. 7. (Sep., 1913), pp. 205-210, Jstor.  
  46. History of the Exponential and Logarithmic Concepts  
    Florian Cajori  
    The American Mathematical Monthly, Vol. 20, No. 6. (Jun., 1913), pp. 173-182, Jstor.  
  47. History of the Exponenetial and Logarithmic Concepts  
    Florian Cajori  
    The American Mathematical Monthly, Vol. 20, No. 5. (May, 1913), pp. 148-151, Jstor.  
  48. History of the Exponential and Logarithmic Concepts  
    Florian Cajori  
    The American Mathematical Monthly, Vol. 20, No. 3. (Mar., 1913), pp. 75-84, Jstor.  

 

 

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