History of Analysis

On the Web

• Pages on analysis at the Mathematical MacTutor History of Mathematics archive
  • Pi through the ages
  • The trigonometric functions
  • The rise of calculus
  • The fundamental theorem of algebra
  • The beginnings of set theory

Bibliography

• Arnold, Vladimir Igorevich. Giuigens i Barrou, Niuton i Guk. translated by Eric J.F. Primrose into English as Huygens and Barrow, Newton and Hooke: pioneers in mathematical analysis and catastrophe theory from evolvents to quasicrystals. Birkhauser, Boston, 1990.
• Baron, Margaret E. The origins of the infinitesimal calculus. Pergamon Press, Oxford-New York, 1969.
• Beckmann, Petr A history of p (pi). Golem, Boulder, Colorado, 1970. 2nd edition: 1971.
• Bertoloni Meli, Domenico. Equivalence and priority: Newton versus Leibniz. Clarendon Press, Oxford, 1993.
• Birkhoff, Garrett, editor. A source book in classical analysis. Harvard University Press, Cambridge, Mass., 1973.
• Bottazzini, Umberto. Calcolo sublime. Translated by Warren Van Egmond into English as The higher calculus: a history of real and complex analysis from Euler to Weierstrass. Springer-Verlag, New York, 1986.
• Boutroux, Pierre Leon. Les principes de l'analyse mathematiques; expose historique et critique. Hermann, Paris, 1914-19.
• Boyer, Carl Benjamin.
  • The concepts of the calculus; a critical and historical discussion of the derivative and the integral. Hafner, New York, 1949. Reprinted as The history of the calculus and its conceptual development. Dover, New York, 1959.
  • History of analytic geometry. Scripta Mathematica, New York, 1956.
• Edwards,Charles Henry. The historical development of the calculus. Springer-Verlag, New York, 1979.
• Goldstine, Herman Heine.
  • A history of the calculus of variations from the 17th through the 19th century. Springer-Verlag, New York, 1980.
  • A history of numerical analysis from the 16th through the 19th century. Springer-Verlag, Berlin-New York, 1977. Review: Math. Rev. 58#4774.
• Grabiner, Judith V. The origins of Cauchy's rigorous calculus. MIT Press, Cambridge, Mass, 1981.
• Grattan-Guinness, I. The development of the foundations of mathematical analysis from Euler to Riemann. MIT Press, Cambridge, Mass., 1970.
• Hall, Alfred Rupert. Philosophers at war: the quarrel between Newton and Leibniz. Cambridge University Press, Cambridge, 1980.
• Ipsen, D. C. Isaac Newton, reluctant genius. Enslow, Hillside, N.J., 1985.
• Manheim, Jerome H. The genesis of point set topology. Macmillan, New York, 1964.
• Monna, A. F. Dirichlet's principle: a mathematical comedy of errors and its influence on the development of analysis Oosthoek, Scheltema & Holkema, Utrecht, 1975.
• Priestley, William McGowen. Calculus, an historical approach. Springer-Verlag, New York, 1979.
• Simmons, George Finlay. Calculus gems: brief lives and memorable mathematics. McGraw-Hill, New York, 1992.
• Stanton, R. J. and R. O. Wells, Jr., editors. History of analysis. Rice University, Houston, Tex., 1978.
• Todhunter, Isaac (1820-1884). A history of the calculus of variations during the nineteenth century. Chelsea, 1962 reprint of the 1861 edition.
• Weissenborn, Hermann (1830-1896). Die Principien der hoheren Analysis in ihrer Entwicklung von Liebniz bis auf Lagrange, als ein historisch-Kritischer Beitrag zur Geschichte der Mathematik. H. W. Schmidt, Halle, 1856.
• Woodhouse, Robert (1773-1827). A history of the calculus of variations in the eighteenth century. Chelsea, New York, 1964 reprint of the 1910 edition.

Regional mathematics (this page)| Subjects | Books and other resources | Chronology | Home.