1550251515-Classical_Complex_Analysis__Gonzalez_

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74 Chapter^1


2a. P. Capelli, Sur le nombre complexe binaire, Bull. Amer. Math. Soc., 47 (1941),
585-595.



  1. C. Caratheodory, Theory of Functions of a Complex Variable, 2 vols., English
    edition, Chelsea, New York, 1958-1960.

  2. A. Cayley, Collect. Math. Papers, I, 127.

  3. C. W. Curtis, The Four and Eight Square Problem and Division Algebras,
    Studies in Mathematics, Vol. 2, Mathematical Association of America, 1963.

  4. M. A. B. Deakin, Functions of a dual or duo variable, Math. Mag., 39 (1966),
    215-219.

  5. L. E. Dickson, Linear Algebras, Cambridge University Press, Cambridge, 1930.

  6. L. E. Dickson, On quaternions and their generalizations and the history of the
    eight square theorem, Ann. of Math. 20 (1919),

  7. M. Eastham, On the definition of dual numbers, Math. Gaz. 45 (1961), 232.

  8. F. G. Frobenius, Uber lineare Substitutionen und bilineare Formen, J. Reine
    Angew. Math., 84 (1978), 1-63.

  9. H. G. Grassman, Die lineale Ausdehnungslehre, Leipzig, 1844; 2nd ed., 1862.

  10. L. Gutierrez Novoa, Order characterization of the complex field, Canad. Math.
    Bull., 21 (1978), 313-318.

  11. W. R. Hamilton, Lectures on Quaternions, Dublin, 1853.

  12. A Hurwitz, Uber die Composition der quadratischen Formen von beliebig
    vielen Variabeln, Nachrichten der koniglichen Gesellschaft der Wissenschaft,
    Gottingen, 1898, 306-316.

  13. M. Itoh, Theory of bicomplex quaternionic and wave-analyti~ functions (ab-
    stract), Notices Amer. Math. Soc., 16 (1969), 307; also mimeographed notes,
    North Carolina State University (Raleigh).

  14. C. C. MacDuffee, An Introduction to Abstract Algebra, Wiley, New York, 1940.

  15. J. Milnor, Some consequences of a theorem of Bott, Ann. of Math. 68 (1958),
    444-449.

  16. D. H. Moore, Complex number algebra as a simple case of Heaviside
    operational calculus, Math. Mag., 43 (1970), 269-272.

  17. R. Nevanlinna and V. Paatero, Introduction to Complex Analysis, Addison-
    Wesley, Reading, Mass., 1969.

  18. D. H. Potts, Axioms for complex numbers, Amer. Math. Monthly, 70 (1963),
    974-975.

  19. E. Study, Geometrie der Dynamen, Leipzig, 1903.

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