Bibliography for the history of complex numbers

unabridged

 

  1. Neuenschwander, E.
    Documenting Riemann's impact on the theory of complex functions.  
    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. Les nombres complexes hyperboliques: des complexes qui nous laissent perplexes. (French) [Hyperbolic complex numbers: complexes that leave us perplexed]  
    Lambert, Dominique
    Rev. Questions Sci.  166  (1995),  no. 4, 383--400, MathSciNet.  
  6. The Geometry of Harmonic Functions  
    Tristan Needham  
    Mathematics Magazine, Vol. 67, No. 2. (Apr., 1994), pp. 92-108, Jstor.  
  7. On the history of the Riemann mapping theorem  
    Gray, Jeremy  
    Rend. Circ. Mat. Palermo (2) Suppl. No. 34, (1994), 47--94, MathSciNet.  
  8. The fundamental theorem of algebra before Carl Friedrich Gauss  
    Josep Carrera  
    Publ. Mat. 36 (1992), no. 2B, 879--911 (1993), MathSciNet.   
  9. 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.  
  10. 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.
  11. The birth of complex numbers. (Catalan)
    Molas, Cori; Pérez, Juli
    Butl. Soc. Catalana Mat. No. 5 (1990), 37--66, MathSciNet.  
  12. Thinking the Unthinkable: The Story of Complex Numbers (with a Moral)  
    Kleiner, Israel  
    The Math. Teach., (1988), V. 81, No. 7, p. 583-92.
  13. Die komplexen Zahlen. (German) [The complex numbers] Theorie---Praxis---Geschichte. [Theory---practice---history]
    Pieper, Herbert
    Second edition. Mathematische Schülerbücherei [Mathematical Library for Students], 110. VEB Deutscher Verlag der Wissenschaften, Berlin, 1988. 256 pp. ISBN: 3-326-00406-0, MathSciNet.  
  14. Einleitung in die Theorie der analytischen Funktionen. (German) [Introduction to the theory of analytic functions] Vorlesung Berlin 1878. [Berlin lecture of 1878] Lecture notes taken and with supplementary material by Adolf Hurwitz. With a preface by R. Remmert. Edited and with a foreword by Peter Ullrich.
    Weierstraß, Karl
    Dokumente zur Geschichte der Mathematik [Documents on the History of Mathematics], 4. Deutsche Mathematiker Vereinigung, Freiburg; Friedr. Vieweg & Sohn, Braunschweig, 1988. xxx+184 pp. ISBN: 3-528-06334-3, MathSciNet.  
  15. Complex numbers in mathematics, mechanics and physics. (Italian)
    Duma, Andrei
    Atti Accad. Peloritana Pericolanti Cl. Sci. Fis. Mat. Natur. 65 (1987), 5--16 (1988), MathSciNet.  
  16. A Classroom Note: on Elementary Use of Complex Numbers  
    Azarnia, Nozar  
    Math. and Comp. Ed., (1987), Vol 21, No. 2, pp. 135-136.
  17. Zur Geschichte der komplexen Zahlen. II. (German) [On the history of complex numbers. II]  
    Pieper, Herbert
    Wiss. Z. Pädagog. Hochsch. Erfurt/Mühlhausen Math.-Natur. Reihe  23  (1987),  no. 1, 146--159, MathSciNet.  
  18. Harmonic Functions from a Complex Analysis Viewpoint  
    Sheldon Axler  
    The American Mathematical Monthly, Vol. 93, No. 4. (Apr., 1986), pp. 246-258, Jstor.  
  19. Development of complex numbers: a historical account.
    Lal, Sunder
    Math. Ed. 3 (1986), no. 1, 35--38, MathSciNet.  
  20. Formalism, Hamilton and complex numbers.
    O'Neill, John
    Stud. Hist. Philos. Sci. 17 (1986), no. 3, 351--372, MathSciNet.  
  21. Origine de la notion de pseudoconvexité dans la théorie des fonctions analytiques de plusieurs variables complexes. Signification du problème inverse de Hartogs. (French) [Origin of the notion of pseudoconvexity in the theory of analytic functions of several complex variables. Significance of the inverse problem of Hartogs]
    Takase, Masahito
    Historia Sci. No. 28 (1985), 139--151, MathSciNet.  
  22. 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.   
  23. The Poincaré-Volterra theorem: a significant event in the history of the theory of analytic functions.  
    Israel, Giorgio; Nurzia, Laura
    Historia Math.  11  (1984),  no. 2, 161--192, MathSciNet.  
  24. Zur Geschichte der komplexen Zahlen. I. (German) [On the history of complex numbers. I]
    Pieper, Herbert
    Wiss. Z. Pädagog. Hochsch. Erfurt/Mühlhausen Math.-Natur. Reihe 18 (1982), no. 1, 63--82, MathSciNet.  
  25. Studies in the history of complex function theory. II.
    Neuenschwander, E.
    Interactions among the French school, Riemann, and Weierstrass.  Bull. Amer. Math. Soc. (N.S.)  5  (1981), no. 2, 87--105, MathSciNet.  
  26. Das historische Argument für die Beschäftigung mit komplexen Zahlen. (German) [The historical argument for the study of complex numbers]
    Pieper, H.
    Mitt. Math. Ges. DDR 1, (1981), 31--59, MathSciNet.  
  27. The introduction of complex numbers.
    Crossley, John N.
    Math. Medley 8 (1980), no. 1, 7--11, MathSciNet.  
  28. Some questions concerning the history of the theory of analytic functions in the nineteenth century. (Russian)
    Markushevich, A. I.
    Istor.-Mat. Issled. No. 25 (1980), 52--70, 378, MathSciNet.
  29. Studies in the history of complex function theory. I.
    Neuenschwander, E.
    The Casorati-Weierstrass theorem. Historia Math. 5 (1978), no. 2, 139--166, MathSciNet.  
  30. Some questions of the history of the theory of analytic functions in the 19th century. (Russian)
    Markushevich, A. I.
    Proceedings of the International Congress of Mathematicians (Helsinki, 1978), pp. 1015--1020, Acad. Sci. Fennica, Helsinki, 1980, MathSciNet.
  31. 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.  
  32. The geometric interpretation of the logarithms of complex numbers in Karsten's treatise of 1768. (Polish)
    Dobrzycki, Stanislaw
    Kwart. Hist. Nauki i Tech. 22 (1977), no. 3, 529--534, MathSciNet.  
  33. The Historical Development of Complex Numbers  
    Green, D. R.  
    The Math. Gazette, (1976), V. 60, No. 412, pp. 99-107.
  34. History of the Riemann Mapping Theorem  
    J. L. Walsh  
    The American Mathematical Monthly, Vol. 80, No. 3. (Mar., 1973), pp. 270-276, Jstor.  
  35. 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.  
  36. Highlights in the History of Spectral Theory  
    L. A. Steen  
    The American Mathematical Monthly, Vol. 80, No. 4. (Apr., 1973), pp. 359-381, Jstor.  
  37. 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.  
  38. 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.  
  39. Introduction to Complex Numbers  
    Louis E. Diamond  
    Mathematics Magazine, Vol. 30, No. 5. (May - Jun., 1957), pp. 233-249, Jstor.  
  40. On some questions in the history of the theory of analytic functions. (Russian)
    Belozerov, S. E.
    Trudy Inst. Istor. Estest. Tehn. 15 (1956), 169--205, MathSciNet.
  41. 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.  
  42. 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.  
  43. Analytic Functions Related to Primes  
    R. M. Redheffer  
    Mathematics Magazine, Vol. 24, No. 3. (Jan. - Feb., 1951), pp. 135-138, Jstor.  
  44. Ocerki po istorii teorii analiticeskih funkcii. (Russian) [Essays on the history of the theory of analytic functions.]
    Markushevich, A. I.
    Gosudarstv. Izdat. Tehn.-Teor. Lit., Moscow-Leningrad, 1951. 127 pp., MathSciNet.
  45. 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.  
  46. 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.  
  47. 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.  
  48. 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.  
  49. 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.  
  50. 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.  
  51. 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.  
  52. 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.  
  53. 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.  
  54. 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.  
  55. 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.  
  56. 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.  
  57. 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.  
  58. 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.  
  59. The History of the Solution of the Cubic Equation  
    Lucye Guilbeau  
    Mathematics News Letter, Vol. 5, No. 4. (Dec., 1930), pp. 8-12, Jstor.  
  60. 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.  
  61. 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.  
  62. History of the Exponential and Logarithmic Concepts  
    Florian Cajori  
    The American Mathematical Monthly, Vol. 20, No. 7. (Sep., 1913), pp. 205-210, Jstor.  
  63. History of the Exponential and Logarithmic Concepts  
    Florian Cajori  
    The American Mathematical Monthly, Vol. 20, No. 6. (Jun., 1913), pp. 173-182, Jstor.  
  64. History of the Exponenetial and Logarithmic Concepts  
    Florian Cajori  
    The American Mathematical Monthly, Vol. 20, No. 5. (May, 1913), pp. 148-151, Jstor.  
  65. 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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