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References

  • Bombelli, Rafael.L’Algebra, prima edizione integrale. Prefazioni di Ettore Bortolotti e di Umberto Forti. Milano: Feltrinelli, 1966.

    Google Scholar 

  • —.L’Algebra, opera di Rafael Bombelli da Bologna. Libri IV e V comprendenti“La parte geometrica” inedita tratta dal manoscritto B. 1569, [della] Biblioteca dell’Archiginnasio di Bologna. Pubblicata a cura di Ettore Bortolotti Bologna: Zanichelli, 1929.

    Google Scholar 

On the mathematical environment at Bombelli’s time in Italy in general and particularly in Bologna, see:

  • Bortolotti, Ettore.La storia delta matematica nella Università di Bologna. Bologna: Zanichelli, 1947.

    Google Scholar 

  • Bortolotti, E.“L’Algebra nella scuola matematica bolognese del sec. XVI,”Periodico di matematica, series IV (5) (1925).

  • Cossali, Pietro.Origine, trasporto in Italia, primi progressi in essa dell’algebra; storia critica di nuove disquisizioni analitiche e metafisiche arricchita. Parma: Reale Tipografia, 1797-1799. 2 vols.

    Google Scholar 

  • Libri, Guillaume.Histoire des sciences mathématiques en Italie, depuis la reinaissance des lettres jusqu’à la fin du dix-septième siècle. Vols. 2 and 3. 2nd ed. Halle: Schmidt, 1865.

    Google Scholar 

For information about Bombelli’s life see:

  • Gillispie, Charles Coulston, editor in chief.Dictionary of Scientific Biography. New York: Scribners, 1970-1980. 16 vols.

    Google Scholar 

  • Jayawardene, S. A. “Unpublished Documents Relating to Rafael Bombelli in the Archives of Bologna,”Isis 54 (1963), 391–395.

    Article  MATH  Google Scholar 

  • —. “Documenti inediti degli archivi di Bologna intorno a Raffaele Bombelli e la sua famiglia.”Atti Accad. Sci. 1st. Bologna CI. Sci. Fis. Rend. 10 (2) (1962/1963), 235–247.

    MathSciNet  Google Scholar 

For the history of algebra during Bombelli’s age see:

  • Giusti, E. “Algebra and Geometry in Bombelli and Viète,”Boll. Storia Sci. Mat. 12 (2) (1992), 303–328.

    MATH  MathSciNet  Google Scholar 

  • Maracchia, Silvio.Da Cardano a Galois: momenti di storia dell’algebra. Milano: Feltrinelli, 1979.

    Google Scholar 

  • Reich, K.“Diophant, Cardano, Bombelli, Viète: Ein Vergleich ihrer Aufgaben,”Festschrift für Kurt Vogel (Munich, 1968), 131–150.

  • Rivolo, MT. and Simi, A. “The computation of square and cube roots in Italy from Fibonacci to Bombelli,”Arch. Hist. Exact Sci. 52 (2) (1998), 161–193. (Italian)

    Article  MATH  MathSciNet  Google Scholar 

  • Sesiano, Jacques.Une introduction à l’histoire de l’algèbre. Lausanne: Presses polytechniques et universitaires romandes, 1999.

    MATH  Google Scholar 

On the relationship between mathematicians and humanists in the revival of Greek mathematics:

  • Rose P. L.The Italian Renaissance of Mathematics. Geneva: Librairie Droz, 1975.

    Google Scholar 

On the relation between angle trisection and cubic equations in Bombelli see:

  • Bortolotti, E.“La trisezione dell’angolo ed il caso irreducible dell’equazione cubica nell’Algebra di Raffaele Bombelli,”Rend. Acc. di Bologna (1923), 125–139.

On cubic and quartic equations in Cardano, Bombelli, and the Bologna school of mathematics see:

  • Bortolotti, E.“I contributi del Tartaglia, del Cardano, del Ferrari, e della Scuola Matematica Bolognese alla teoria algebrica delle equazioni cubiche,”Studi e mem. dell’Univ. di Bologna 9 (1926).

  • Bortolotti, E.“Sulla scoperta della risoluzione algebrica delle equazioni del quarto grado,”Periodico di Matematica, série IV (4) (1926).

  • Kaucikas, A. P. “Indeterminate equations in R. Bombelli’s Algebra,”History and Methodology of the Natural Sciences XX (Moscow, 1978), 138–146. (Russian)

    MathSciNet  Google Scholar 

  • Smimova G. S. “Geometric solution of cubic equations in Raffaele Bombelli’s ‘Algebra,’”Istor. Metodol. Estestv. Nauk. 36 (1989), 123–129. (Russian)

    Google Scholar 

On Bombelli and imaginary numbers see:

  • Hofmann, J. E. “R. Bombelli-Erstentdecker des Imaginären II,”Praxis Math. 14 (10) (1972), 251–254.

    MathSciNet  Google Scholar 

  • —. “R. Bombelli-Erstentdecker des Imaginären,”Praxis Math. 14 (9) (1972), 225–230.

    MATH  MathSciNet  Google Scholar 

  • Wieleitner, H. “Zur Frügeschichte des Imaginären,”Jahresbericht der Deutschen Mathematiker-Vereinigung 36 (1927), 74–88.

    MATH  Google Scholar 

On Bombelli’s L’Algebra and its influence on Leibniz see:

  • Hofmann, J. E. “Bombelli’s Algebra. Eine genialische Einzelleistung und ihre Einwirkung auf Leibniz,”Studia Leibnitiana 4 (3–4) (1972), 196–252.

    MathSciNet  Google Scholar 

On the calculation of square roots in Bombelli see:

On Bombelli as engineer see:

  • Jayawardene, S. A. “Rafael Bombelli, Engineer-Architect: Some Unpublished Documents of the Apostolic Camera,”Isis 56 (1965), 298–306.

    Article  Google Scholar 

  • —. “The influence of practical arithmetics on the Algebra of Rafael Bombelli,”Isis 64 (224) (1973), 510–523.

    Article  MATH  MathSciNet  Google Scholar 

Books on Mathematical Problems in the Ancient World

  • Ball Rouse W. W., and H. S. M. Coxeter.Mathematical Recreations and Essays. New York: Dover, 1987.

    Google Scholar 

  • Bold, B.Famous Problems of Geometry and How to Solve Them. New York: Dover, 1982.

    Google Scholar 

  • Boyer, Carl B., and U. C. Merzbach.A History of Mathematics. New York: John Wiley & Sons, 1989.

    MATH  Google Scholar 

  • Bunt, Lucas N. H., P. S. Jones, and J. D. Bedient.The Historical Roots of Elementary Mathematics. Englewood Cliffs, NJ: Prentice-Hall, 1976.

    MATH  Google Scholar 

  • Courant, Ft, and H. Robbins.What Is Mathematics? An Elementary Approach to Ideas and Methods. New York: Oxford University Press, 1996.

    MATH  Google Scholar 

  • Dörrie, H.100 Great Problems of Elementary Mathematics: Their History and Solutions. Trans. David Antin. New York: Dover, 1965.

    Google Scholar 

  • Fowler, D. H.The Mathematics of Plato’s Academy. A New Reconstruction. Oxford: Clarendon Press, 1987.

    Google Scholar 

  • Grattan-Guinness, Ivor.The Norton History of the Mathematical Sciences. New York: W.W. Norton & Company, 1997.

    Google Scholar 

  • Gow, James.A Short History of Greek Mathematics. New York: G.E. Stechert & Co., 1923.

    Google Scholar 

  • Heath, Thomas.A History of Greek Mathematics. Oxford: Clarendon Press, 1921.

    MATH  Google Scholar 

  • Klein, Jacob.Greek Mathematical Thought and the Origin of Algebra. Trans. Eva Brann. Cambridge, MA: The M.I.T. Press, 1968.

    MATH  Google Scholar 

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Correspondence to Federica La Nave or Barry Mazur.

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Nave, F.L., Mazur, B. Reading bombelli. The Mathematical Intelligencer 24, 12–21 (2002). https://doi.org/10.1007/BF03025306

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