Literature - A brief course - The history of mathematics

The history of mathematics: A brief course (2013)

Literature

Note: CSHPM/SCHPM = Canadian Society for the History and Philosophy of Mathematics/Société Canadienne d'Histoire et Philosophie des Mathématiques

Adler, Ada, 1971. Suidae Lexicon, Teubner-Verlag, Stuttgart.

Aimgargün, Ahmet G.; Fletcher, Colin R., 1994. “Al-Farisi and the fundamental theorem of arithmetic,” Historia Mathematica, 21, No. 2, 162–173.

Allman, George Johnston, 1889. Greek Geometry from Thales to Euclid, Longmans, Green & Co., London.

Amir-Moez, Ali R., 1959. “Discussion of difficulties in Euclid by Omar ibn Abrahim al-Khayyami,” Scripta Mathematica, XXIV, 275–303.

Amir-Moez, Ali R., 1963. “A paper of Omar Khayyam,” Scripta Mathematica, XXVI, No. 4, 323–337.

Andrews, George E., 1979. “An introduction to Ramanujan's ‘lost’ notebook,” American Mathematical Monthly, 86, No. 2, 89–108.

Ang Tian-Se; Swetz, Frank J., 1986. “A Chinese mathematical classic of the third century: The Sea Island Mathematical Manual of Liu Hui, Historia Mathematica, 13, No. 2, 99–117.

Aschbacher, Michael, 1981. “The classification of the finite simple groups,” The Mathematical Intelligencer, 3, No. 2, 59–65.

Ascher, Marcia, 1991. Ethnomathematics, Brooks/Cole, New York.

Ascher, Marcia, 1997. “Malagasy Sikidy: A case in ethnomathematics,” Historia Mathematica, 24, No. 4, 376–395.

Ayoub, R. 1980. “Paolo Ruffini's contributions to the quintic,” Archive for History of Exact Sciences, 23, No. 3, 253–277.

Bag, Amulya Kumar, 1966. “Binomial theorem in ancient India,” Indian Journal of History of Science, 1, No. 1, 68–74.

Bagheri, Mohammad, 1997. “A newly found letter of al-Kashi on scientific life in Samarkand,” Historia Mathematica, 24, No. 3, 241–256.

Baigozhina, G. O., 1995. “On the classification principle of the problems in Abu-Kamil's Book of Indeterminate Problems,” Istoriko-Matematicheskie Issledovaniya, 1, No. 36, 61–66 (Russian).

Baltzer, R., ed., 1885. August Ferdinand Möbius, Gesammelte Werke, S. Hirzel, Leipzig.

Bashmakova, I. G; Smirnova, G. S., 1997. “The origin and development of algebra,” in: B. V. Gnedenko, ed., Essays on the History of Mathematics, Moscow University Press, Moscow, pp. 94–246 (Russian). English translation published separately as The Beginnings and Evolution of Algebra, A. Shenitzer (transl.), Mathematical Association of America, Oberlin, OH, 2000.

Beckers, Danny J., 1999. “Lagrange in the Netherlands: Dutch attempts to obtain rigor in calculus, 1797–1840,” Historia Mathematica, 26, No. 3, 234–238.

Belcastro, Sarah-Marie; Yackel, Carolyn, 2008. Making Mathematics with Needlework, AK Peters, Wellesley, MA.

Beman, Wooster Woodruff; Smith, David Eugene, 1930. Famous Problems of Elementary Geometry, G. E. Stechert & Co., New York.

Berggren, J. L., 1986. Episodes in the Mathematics of Medieval Islam, Springer-Verlag, New York.

Berggren, J. L., 1989. “Abu Sahl al-Kuhi: what the manuscripts say,” Proceedings of the 15th annual meeting of the CSHPM/SCHPM, Université Laval, Montréal, Québec, pp. 31–48.

Berggren, J. L., 1990. “Greek and Islamic elements in Arabic mathematics,” Proceedings of the 16th annual Meeting of the CSHPM/SCHPM, University of Victoria, Victoria, British Columbia, pp. 25–38.

Berggren, J. L., 2002. “The transmission of Greek geometry to medieval Islam,” CUBO, 4, No. 2, 1–13.

Berggren, J. L.; Jones, Alexander, 2000. Ptolemy's Geography. Princeton University Press.

Bernal, Martin, 1992. “Animadversions on the origins of western science,” Isis, 83, No. 4, 596–607.

Bernays, Paul, ed., 1971. Foundations of Geometry, by David Hilbert, translated by Leo Unger, Open Court, La Salle, IL.

Berndt, Bruce C., ed., 1985. Ramanujan's Notebooks, 5 vols., Springer-Verlag, New York.

Betti, E. 1852. “Sulla risoluzione delle equazioni algebriche,” Tortolini Annali, III, 49–51.

Blackwell, Richard, transl., 1986. Christiaan Huygens' The Pendulum Clock, Iowa State University Press, Ames, IA.

Bochenski, I. M., 1961. A History of Formal Logic, University of Notre Dame Press.

Boncompagni, Baldassare, 1854. Intorno ad alcune opere matematica notizie di Leonardo, matematico del secolo decimoterzo, Tipografia Delle Belle Arti, Rome.

Bottazzini, Umberto, 1986. The Higher Calculus: A History of Real and Complex Analysis from Euler to Weierstrass, Springer-Verlag, New York.

Boyer, Carl B., 1949. The History of the Calculus and its Conceptual Development, Hafner, New York. Reprint: Dover, New York, 1959.

Brentjes, Sonja; Hogendijk, Jan P., 1989. “Notes on Thabit ibn Qurra and his rule for amicable numbers,” Historia Mathematica, 16, No. 4, 373–378.

Bretschneider, Carl Anton, 1870. Die Geometrie und die Geometer vor Euklides. Ein historischer Versuch, Teubner, Leipzig. Reprint: M. Sändig, Wiesbaden, 1968.

Brett, William F.; Feldman, Emile B.; Sentlowitz, Michael, 1974. An Introduction to the History of Mathematics, Number Theory and Operations Research, MSS Information Corporation, New York.

Brown, James Robert, 1999. Philosophy of Mathematics: An Introduction to the World of Proofs and Pictures, Routledge, New York.

Buck, R. C., 1980. “Sherlock Holmes in Babylon,” The American Mathematical Monthly, 87, No. 5, 335–345.

Burington, Richard Stevens, 1958. Handbook of Mathematical Tables and Formulas, Handbook Publishers, Sandusky, OH.

Burkert, Walter, 1962. Weisheit und Wissenschaft: Studien zu Pythagoras, Philolaos und Platon. Verlag Hans Carl, Nürnberg.

Butzmann, Hans, 1970. Codex Agrimensorum Romanorum: Codex Arcerianusa der Herzog-August-Bibliothek zu Wolfenbüttel, A. W. Sijthoff, Lugduni Batavorum.

Bychkov, S. N., 2001. “Egyptian geometry and Greek science,” Istoriko-Matematicheskie Issledovaniya, 6, No. 41, 277–284 (Russian).

Cajori, Florian, 1922. A History of Mathematics. Macmillan & Company, New York.

Cantor, Moritz, 1880. Vorlesungen über Geschichte der Mathematik, Vol. 1, Teubner, Leipzig.

Cauchy, A.-L., 1815. “Mémoire sur le nombre des valeurs qu'une fonction peut acquérir,” Journal de l'École Polytechnique, XVIIe Cahier, Tome X = Œuvres Complètes, Tome 13, pp. 64–90. Gauthier-Villars, Paris.

Caveing, Maurice, 1985. “La tablette babylonienne AO 17264 du Musée du Louvre et le problème des six frères,” Historia Mathematica, 12, No. 1, 6–24.

Chace, A. B., Bull, L., Manning, H. P., and Archibald, R. C., 1927. The Rhind Mathematical Papyrus, Mathematical Association of America, Oberlin, OH, Vol. 1.

Chaikovskii, Yu. V., 2001. “What is probability? The evolution of the concept (from antiquity to Poisson),” Istoriko-Matematicheskie Issledovaniya, 6, No. 41, 34–56 (Russian).

Chaucer, Geoffrey, 1391. A Treatise on the Astrolabe, in: F. N. Robinson, ed., The Works of Geoffrey Chaucer, 2nd ed., Houghton Mifflin, Boston, 1957, pp. 545–563.

Chemla, Karine, 1991. “Theoretical aspects of the Chinese algorithmic tradition (first to third century),” Historia Scientiarum, No. 42, 75–98.

Christianidis, Jean, 1998. “Une interprétation byzantine de Diophante,” Historia Mathematica, 25, No. 1, 22–28.

Ciancio, Salvatore, 1965. La tomba di Archimede, Ciranna, Roma.

Clagett, Marshall, 1960. The Medieval Science of Weights, University of Wisconsin Press, Madison, WI.

Clagett, Marshall, 1968. Nicole Oresme and the Medieval Geometry of Qualities and Motions, University of Wisconsin Press, Madison, WI.

Clark, Walter Eugene, ed., 1930. The Aryabhatiya of Aryabhata, University of Chicago Press, Chicago.

Closs, Michael P., ed., 1986. Native American Mathematics, University of Texas Press, Austin, TX.

Closs, Michael P., 1992. “Ancient Maya mathematics and mathematicians,” Proceedings of the 18th Annual Meeting of the CSHPM/SCHPM, University of Prince Edward Island, Charlottetown, P.E.I., pp. 1–13.

Coe, Michael D., 1973. The Maya Scribe and His World, The Grolier Club, New York.

Colebrooke, Henry Thomas, 1817. Algebra with Arithmetic and Mensuration from the Sanscrit of Brahmegupta and Bhascara, J. Murray, London.

Colson, F. H., 1926. The Week: An Essay on the Origin and Development of the Seven-Day Cycle, Greenwood Press, Westport, CT.

Coolidge, Julian Lowell, 1940. A History of Geometrical Methods, Clarendon Press, Oxford.

Craik, Alex D. D., 1999. “Calculus and analysis in early nineteenth-century Britain: the work of William Wallace,” Historia Mathematica, 26, No. 3, 239–267.

Crossley, John N.; Henry, Alan S., 1990. “Thus spake al-Khwimgrizmimg: A translation of the text of Cambridge University Library Ms. ii.vi.5,” Historia Mathematica, 17, No. 2, 103–131.

Cullen, Christopher, 1996. Astronomy and Mathematics in Ancient China: The Zhou Bi Suan Jing, Cambridge University Press.

Cuomo, Serafina, 2000. Pappus of Alexandria and the Mathematics of Late Antiquity, Cambridge University Press.

al-Daffa, Ali Abdullah, 1977. The Muslim Contribution to Mathematics, Humanities Press, Atlantic Highlands, NJ.

Dahan, Amy, 1980. “Les travaux de Cauchy sur les substitutions; Étude de son approche du concept de groupe,” Archive for History of Exact Sciences, 23, No. 4, 279–319.

Dahan-Dalmédico, Amy, 1987. “Mécanique et théorie des surfaces: les travaux de Sophie Germain,” Historia Mathematica, 14, No. 4, 347–365.

van Dalen, D., 1981. Brouwer's Cambridge Lectures on Intuitionism, Cambridge University Press.

Dauben, Joseph W., 1996. “Mathematics at the University of Toronto: Abraham Robinson in Canada (1951–1957),” in: Dauben, Folkerts, Knobloch, and Wussing, History of Mathematics: States of the Art, Academic Press, New York.

Dauben, Joseph W.; Scriba, Christoph J., eds., 2002. Writing the History of Mathematics: Its Historical Development, Birkhäuser, Boston.

David, H. A.; Edwards, A. W. F., 2001. Annotated Readings in the History of Statistics, Springer-Verlag, New York.

Davis, Margaret Daly, 1977. Piero Della Francesca's Mathematical Treatises: the Tratto d'abaco and Libellus de quinque corporibus regularibus, Longe Editore, Ravenna.

Davis, Philip J.; Hersh Reuben, 1986. Descartes' Dream: The World According to Mathematics, Harcourt Brace Jovanovich, New York.

Deakin, Michael, 1994. “Hypatia and her mathematics,” American Mathematical Monthly, 101, No. 3, 234–243.

Detlefsen, Michael, 2001. “What does Gödel's second theorem say?” Philosophia Mathematica (3), 9, No. 1, 37–71.

Detlefsen, Michael; Erlandson, Douglas K.; Heston, J. Clark; Young, Charles M., 1975. “Computation with Roman numerals,” Archive for History of Exact Science, 15, No. 2, 141–148.

Devlin, Keith, 2011. The Man of Numbers: Fibonacci's Arithmetic Revolution, Walker and Company, New York.

De Mora-Charles, 1992. “Quelques jeux de hazard selon Leibniz.” Historia Mathematica 19, No. 2, 125–157.

de Mora-Charles, S., 1992. “Quelques jeux de hazard selon Leibniz,” Historia Mathematica, 19, No. 2, 125–157.

De Young, Gregg, 1995. “Euclidean geometry in the tradition of Islamic India,” Historia Mathematica, 22, No. 2, 138–153.

Dick, Auguste, 1981. Emmy Noether, 1882–1935, translated by H. I. Blocher. Birkhäuser, Boston.

Dickson, Leonard Eugene, 1919. History of the Theory of Numbers I: Divisibility and Primality, Carnegie Institute, Washington, DC. Reprint: Chelsea, New York, 1966.

Dickson, Leonard Eugene, 1920. History of the Theory of Numbers II: Diophantine Analysis, Carnegie Institute, Washington, DC. Reprint: Chelsea, New York, 1966.

Dickson, Leonard Eugene, 1923. History of the Theory of Numbers III: Quadratic and Higher Forms, Carnegie Institute, Washington, DC. Reprint: Chelsea, New York, 1966.

Diels, Hermann, 1951. Die Fragmente der Vorsokratiker, 6th corrected edition (Walther Kranz, ed.), Weidmann, Berlin.

Dijksterhuis, E. J., 1956. Archimedes, Munksgård, Copenhagen.

Dilke, O. A. W., 1985. Greek and Roman Maps, Cornell University Press, Ithaca, NY.

D'ooge, Martin Luther, 1926, translator. Introduction to Arithmetic (Nicomachus of Gerasa), Macmillan, New York.

Dorofeeva, A. V., 1998. “The calculus of variations,” in: Mathematics of the 19th Century, Birkhäuser, Basel, pp. 197–260.

Duren, Peter, 1989. A Century of Mathematics in America (3 Vols.), American Mathematical Society, Providence, RI.

Dutka, Jacques, 1988. “On the Gregorian revision of the Julian calendar,” Mathematical Intelligencer, 10, No. 1, 56–64.

Dzielska, Maria, 1995. Hypatia of Alexandria, Harvard University Press, Cambridge, MA.

Edwards, H. M., 1974. Riemann's Zeta Function, Academic Press, New York.

Edwards, H. M., 1977. Fermat's Last Theorem, Springer-Verlag, New York.

Engel, Friedrich; Heegaard, Poul, eds., 1960. Sophus Lie, Gesammelte Abhandlungen, Teubner, Leipzig.

Erdimgs, P.; Dudley, U., 1983. “Some remarks and problems in number theory related to the work of Euler,” Mathematics Magazine, 56, No. 5, 292–298.

Euler, L., 1732. “De formes radicum aequationum cuiusque ordinis coniectatio,” Commentarii Academiae Petropolitanae, 6 (1738), p. 216.

Euler, L., 1744. Methodus inveniendi lineas curvas maximi minimive proprietate gaudentes, Bousquet & Co., Lausanne.

Euler, L., 1749. “Recherches sur les racines imaginaires des équations,” Histoire de l'Académie des Sciences de Berlin, p. 222.

Euler, L., 1762. “De resolutione aequationum cuiusque gradus,” Novi Commentarii Academiae Petropolitanae 9, p. 70.

Feigenbaum, L., 1994. “Infinite series and solutions of ordinary differential equations, 1670–1770,” in: Companion Encyclopedia of the History and Philosophy of the Mathematical Sciences, Vol. 1, Routledge, London and New York, pp. 504–519.

Feingold, Mordechai, 1993. “Newton, Leibniz, and Barrow too: An attempt at a reinterpretation,” Isis, 84, No. 2, 310–338.

Ferreirós, José, 1995. “ ‘What fermented in me for years': Cantor's discovery of transfinite numbers,” Historia Mathematica, 22, 33–42.

Field, J. V.; Gray, J. J., 1987. The Geometrical Work of Girard Desargues, Springer-Verlag, Berlin.

Fitzgerald, Augustine, transl., 1926. The Letters of Synesius of Cyrene, Oxford University Press.

Flegg, G. 1988. “Nicolas Chuquet—An introduction,” in: Cynthia Hay, ed., Mathematics from Manuscript to Print, 1300–1600, Oxford University Press, pp. 59–72.

Fletcher, Colin R., 1989. “Fermat's theorem,” Historia Mathematica, 16, No. 2, 149–153.

Folkerts, Menso, 1970. Ein neuer Text des Euclides latinus, H. A. Gerstenberg, Hildesheim.

Folkerts, Menso, 1971. Anonyme lateinische Euklidbearbeitungen aus dem 12. Jahrhundert, Österreichische Akademie der Wissenschaften, Mathematisch-Naturwissenschaftliche Klasse, Denkschriften, 116, erste Abhandlung.

Fowler, David, 1992. “Dedekind's theorem: img,” The American Mathematical Monthly, 99, No. 8, 725–733.

Fowler, David, 1998. The Mathematics of Plato's Academy, 2nd ed., Clarendon Press, Oxford.

Franchella, Miriam, 1995. “L. E. J. Brouwer: toward intuitionistic logic,” Historia Mathematica, 22, No. 3, 304–322.

Franci, Rafaella, 1988. “Antonio de’ Mazzinghi, an algebraist of the fourteenth century,” Historia Mathematica, 15, No. 3, 240–249.

Fraser, Craig, 1987. “Joseph-Louis Lagrange's algebraic vision of the calculus,” Historia Mathematica, 14, No. 1, 38–53.

Fraser, Craig, 1993. “A history of Jacobi's theorem in the calculus of variations,” Proceedings of the 19th Annual Meeting of the CSPHM/SCHPM, Carleton University, Ottawa, Ontario, pp. 168–185.

Friberg, Jöran, 1981. “Methods and traditions of Babylonian mathematics: Plimpton 322, Pythagorean triples and the Babylonian triangle parameter equations,” Historia Mathematica, 8, No. 3, 277–318.

Fried, Michael N.; Unguru, Sabetai, 2001. Apollonius of Perga's Conica. Text, Context, Subtext, Brill, Boston.

von Fritz, Kurt, 1945. “The discovery of incommensurability by Hippasus of Metapontum,” Annals of Mathematics, 46, 242–264.

Fu Daiwie, 1991. “Why did Lui Hui fail to derive the volume of a sphere?”, Historia Mathematica, 18, No. 3, 212–238.

Fukugawa Hidetoshi, ed., 2005. Sho Min No San Jutsu Ten (Exhibit of Popular Computational Art), Nagoya City Museum of Science.

Fukagawa Hidetoshi; Pedoe, D., 1989. Japanese Temple Geometry Problems: San Gaku, Winnipeg, Manitoba.

Fukagawa Hidetoshi; Rothman, T. 2008. Sacred Mathematics: Japanese Temple Geometry, Princeton University Press. Sho Min No San Jutsu Ten (Exhibit of Popular Computational Art

Fuson, Karen, 1988. Children's Counting and Concepts of Number, Springer-Verlag, New York.

Gandz, Solomon, 1926. “The origin of the term ‘algebra’,” American Mathematical Monthly, 33, No. 9, 437–440.

Gauss, Carl Friedrich, 1799. “Demonstratio nova theorematis omnem functionem algebraicam rationalem integralam unius variabilis in factores reales primi vel secundi gradus resolvi posse,” in: Werke, Vol. 3, Königlichen Gesellschaft der Wissenschaften, Göttingen, 1866, pp. 3–31.

Gauss, Carl Friedrich, 1965. General Investigations of Curved Surfaces, translated from the Latin and German by Adam Hiltebeitel and James Morehead, Raven Press, Hewlett, NY.

Geijsbeek, John B., ed. and transl., 1914. Ancient Double-Entry Bookkeeping. Lucas Pacioli's Treatise (A.D. 1494—The Earliest Known Writer on Bookkeeping), Denver, CO.

Gerdes, Paulus, 1985. “Three alternate methods of obtaining the ancient Egyptian formula for the area of a circle,” Historia Mathematica, 12, No. 3, 261–268.

Gerhardt, C. J., ed., 1971. Leibniz: Mathematische Schriften, G. Olms Verlag, Hildesheim.

Gericke, Helmut, 1996. “Zur Geschichte der negativen Zahlen,” in: Dauben, Folkerts, Knobloch, and Wussing, eds., History of Mathematics: States of the Art, Academic Press, New York, pp. 279–306.

Gericke, Helmut; Vogel, Kurt, 1965. De Thiende von Simon Stevin, Akademische Verlagsgesellschaft, Frankfurt am Main.

Gillings, Richard J., 1972. Mathematics in the Time of the Pharaohs, MIT Press, Cambridge, MA. Reprint: Dover, New York, 1982.

Gold, David; Pingree, David, 1991. “A hitherto unknown Sanskrit work concerning Mimgdhava's derivation of the power series for sine and cosine,” Historia Scientiarum, No. 42, 49–65.

Goldstine, Herman H., 1980. A History of the Calculus of Variations from the 17th Through the 19th Century, Springer-Verlag, New York.

Gottwald, Siegfried; Ilgauds, Hans-Joachim; Schlote, Karl-Heinz, eds., 1990. Lexikon Bedeutender Mathematiker, Bibliographisches Institut, Leipzig.

Gould, James L.; Gould, Carol Grant, 1995. The Honey Bee, Scientific American Library, New York.

Gow, James, 1884. A Short History of Greek Mathematics. Reprint: Chelsea, New York, 1968.

Grabiner, Judith, 1981. The Origins of Cauchy's Rigorous Calculus. MIT Press.

Grabiner, Judith, 1995. “Descartes and problem-solving,” Mathematics Magazine, 68, No. 2, 83–97.

Grattan-Guinness, Ivor, 1972. “A mathematical union: William Henry and Grace Chisholm Young,” Annals of Science, 29, No. 2, 105–186.

Grattan-Guinness, Ivor, 1975. “Mathematical bibliography for W. H. and G. C. Young,” Historia Mathematica, 2, 43–58.

Grattan-Guinness, Ivor, 1990. Convolutions in French Mathematics, 1800–1840, Birkhäuser, Basel.

Grattan-Guinness, Ivor, 2000. The Search for Mathematical Roots, 1870–1940: Logics, Set Theories, and the Foundations of Mathematics from Cantor through Russell to Gödel, Princeton University Press, Princeton, NJ.

Grattan-Guinness, Ivor, 2004. “History or heritage? An important distinction in mathematics and for mathematics education,” American Mathematical Monthly, 111, 1–12.

Gray, J. J., 1989. Ideas of Space: Euclidean, Non-Euclidean, and Relativistic, 2nd ed., Clarendon Press, Oxford.

Gray, J. J., 2005. “Bernhard Riemann, posthumous thesis ‘On the hypotheses which lie at the foundations of geometry’,” in: I. Grattan-Guinness, ed., Landmark Writings in Western Mathematics, 1640–1940, Elsevier, Amsterdam, 2005, pp. 506–520.

Gray, Robert, 1994. “Georg Cantor and transcendental numbers,” The American Mathematical Monthly, 101, No. 9, 819–832.

Greenleaf, Benjamin, 1876. New Practical Arithmetic; in Which the Science and Its Applications Are Simplified by Induction and Analysis, Leach, Shewell, and Sanborn, Boston and New York.

Grosholz, Emily, 1987. “Two Leibnizian manuscripts of 1690 concerning differential equations,” Historia Mathematica, 14, No. 1, 1–37.

Guizal, Brahim; Dudley, John, 2002. “Ibn Sahl: Inventeur de la loi de la réfraction,” Revue pour la science, No. 301, November 2002.

Guo Shuchung, 1992. “Guo Shuchung's edition of the Jiu Zhang Suan Shu,” Historia Mathematica, 19, No. 2, 200–202.

Gupta, R. C., 1989. “Sino-Indian interaction and the great Chinese Buddhist astronomer-mathematician I-Hsing (A.D. 683–727),” Bulletin of the Indian Society for History of Mathematics, 11, Nos. 1–4, 38–49.

Gupta, R. C., 1991. “On the volume of a sphere in ancient India,” Historia Scientiarum, No. 42, 33–44.

Gupta, R. C., 1994a. “Six types of Vedic mathematics,” Bulletin of the Indian Society for History of Mathematics, 16, Nos. 1–4, 5–15.

Gupta, R. C., 1994b. “A circulature rule from the Agni img,” Bulletin of the Indian Society for History of Mathematics, 16, Nos. 1–4, 53–56.

Gustafson, W. H.; Halmos, P. R.; Moolgavkar, S. H.; Wheeler, W. H.; Ziemer, W. P., 1976. “American mathematics from 1940 to the day before yesterday,” The American Mathematical Monthly, 83, No. 7, 503–516.

Hadamard, J., 1896. “Sur la distribution des zéros de la fonction ζ(s) et ses consequences arithmétiques,” Bulletin de la Société Mathématique de France, 24, 199–220.

Hairetdinova, N. G., 1986. “On spherical trigonometry in the medieval Near East and in Europe,” Historia Mathematica, 13, No. 2, 136–146.

Hamilton, W. R., 1837. “On the argument of Abel, respecting the impossibility of expressing a root of any general equation above the fourth degree, by any finite combination of radicals and rational functions,” Transactions of the Royal Irish Academy, XVIII (1839), 171–259; H. Halberstam and R. Ingram, eds., The Mathematical Papers of Sir William Rowan Hamilton, Vol. III, pp. 517–569.

Hari, K. Chandra, 2002. “Genesis and antecedents of img,” Indian Journal of History of Science, 37, No. 2, 101–113.

al-Hassan, Ahmad Y.; Hill, Donald R., 1986. Islamic Technology: An Illustrated History, Cambridge University Press.

Hawkins, Thomas, 1989. “Line geometry, differential equations, and the birth of Lie's theory of groups,” in: David Rowe and John McCleary, eds., The History of Modern Mathematics, Vol. 1, Academic Press, New York.

Hayashi Takao, 1987. “Varahamihira's pandiagonal magic square of the order four,” Historia Mathematica, 14, No. 2, 159–166.

Hayashi Takao, 1991. “A note on Bhimgskara I's rational approximation to sine,” Historia Scientiarum, No. 42, pp. 45–48.

Heath, T. L., 1910. Diophantus of Alexandria: A Study in the History of Greek Algebra, 2nd ed., Cambridge University Press, 1910.

Heath, T. L., 1897–1912. The Works of Archimedes Edited in Modern Notation with Introductory Chapters, Reprint: Dover, New York, 1953.

Heath, T. L., 1921. A History of Greek Mathematics, Clarendon Press, Oxford.

Hersh, Reuben, 1997. What is Mathematics, Really? Oxford University Press, New York.

Heyde, C. C.; Seneta, E., 1977. I. J. Bienaymé: Statistical Theory Anticipated, Springer-Verlag, New York.

Hilbert, David, 1971. Foundations of Geometry, translated by Leo Unger, Open Court, LaSalle, IL.

Hille, Einar, 1959. Analytic Function Theory, Vol. 1. Ginn and Company, New York.

Hogendijk, Jan P., 1985. “Thabit ibn Qurra and the pair of amicable numbers 17296, 18416,” Historia Mathematica, 12, No. 3, 269–273.

Hogendijk, Jan P., 1989. “Sharaf al-Din al-Tusi on the number of positive roots of cubic equations,” Historia Mathematica, 16, No. 1, 69–85.

Hogendijk, Jan P., 1991. “Al-Khwarizmi's table of the ‘sine of the hours' and underlying sine table,” Historia Scientiarum, No. 42, pp. 1–12.

Hogendijk, Jan P., 2002. “The surface area of the bicylinder and Archimedes' Method,” Historia Mathematica, 29, No. 1, 199–203.

Holt, P. M.; Lambton, Ann K. S.; Lewis, Bernard, eds., 1970. The Cambridge History of Islam, Vol. 2B.

Homann, Frederick A., 1987. “David Rittenhouse: logarithms and leisure,” Mathematics Magazine, 60, No. 1, 15–20.

Homann, Frederick A., 1991. Practical Geometry: Practica Geometriae, attributed to Hugh of St. Victor, Marquette University Press, Milwaukee, WI.

Himgyrup, Jens, 2002. “A note on Old Babylonian computational techniques,” Historia Mathematica, 29, No. 2, 193–198.

Himgyrup, Jens, 2010. “Old Babylonian ‘Algebra,’ and What It Teaches Us about Possible Kinds of Mathematics,” Paper presented at the ICM Satellite Conference on Mathematics in Ancient Times, Kerala School of Mathematics, 19 August–1 September 2010. Available on-line at www.akira.ruc.dk/jensh.

Hughes, Barnabas, 1981. De numeris datis (Jordan de Nemore), University of California Press, Berkeley, CA.

Hughes, Barnabas, 1989. “The arithmetical triangle of Jordanus de Nemore,” Historia Mathematica, 16, No. 3, 213–223.

Hultsch, F., ed., 1965. Pappi Alexandrini Collectionis, Vol. 1, Verlag Adolf M. Hakkert, Amsterdam.

Huygens, Christiaan, 1888. Œuvres complètes. M. Nijhoff, La Haye.

Ifrah, Georges, 2000. The Universal History of Numbers: From Prehistory to the Invention of the Computer, translated from the French by David Bellos, Wiley, New York.

Il'ina, E. A., 2002. “On Euclid's Data,” Istoriko-Matematicheskie Issledovaniya, 7, No. 42, 201–208 (Russian).

Indorato, Luigi; Nastasi, Pietro, 1989. “The 1740 resolution of the Fermat–Descartes controversy,” Historia Mathematica, 16, No. 2, 137–148.

Iviimg, Aleksandar, 1985. The Riemann Zeta-Function: Theory and Applications, Dover, New York.

Ivins, W. M., 1947. “A note on Desargues' theorem,” Scripta Mathematica, 13, 203–210.

Jami, Catherine, 1988. “Western influence and Chinese tradition in an eighteenth century Chinese mathematical work,” Historia Mathematica, 15, No. 4, 311–331.

Jami, Catherine, 1991. “Scholars and mathematical knowledge during the late Ming and early Qing,” Historia Scientiarum, No. 42, 95–110.

Jentsch, Werner, 1986. “Auszüge aus einer unveröffentlichten Korrespondenz von Emmy Noether und Hermann Weyl mit Heinrich Brandt,” Historia Mathematica, 13, No. 1, 5–12.

Jha, V. N., 1994. “Indeterminate analysis in the context of the Mahimgsiddhimgnta of img II,” Indian Journal of History of Science, 29, No. 4, 565–578.

Jones, Alexander, 1986. Book 7 of the Collection, Springer-Verlag, New York.

Jones, Alexander, 1990. Ptolemy's First Commentator, American Philosophical Society, Philadelphia.

Jones, Alexander, 1991. “The adaptation of Babylonian methods in Greek numerical astronomy,” Isis, 82, No. 313, 441–453.

Kasir, Daoud, 1931. The Algebra of Omar Khayyam, Teachers College, Columbia University Contributions to Education, No. 385, New York.

Kawahara Hideki, 1991. “World-View of the Santong-Li,” Historia Scientiarum, No. 42, 67–73.

Kazdan, Jerry L., 1986. “A visit to China,” The Mathematical Intelligencer, 8, No. 4, 22–32.

Kimberling, C. H., 1972a. “Emmy Noether,” The American Mathematical Monthly, 79, No. 2, 136–149.

Kimberling, C. H., 1972b. “Addendum to ‘Emmy Noether’,” The American Mathematical Monthly, 79, No. 7, 755.

King, R. Bruce, 1996. Beyond the Quartic Equation, Birkhäuser, Boston.

Kiro, S. N., 1967, “N. I. Lobachevskii and mathematics at Kazan’ University,” in: History of Russian and Soviet Mathematics (Istoriya Otechestvennoi Matematiki), Vol. 2, Naukova Dumka, Kiev (Russian).

Klein, Felix, 1884. Lectures on the Icosahedron and the Solution of Equations of the Fifth Degree, translated by George Gavin Morrice. Reprint: Dover, New York, 1956.

Klein, Felix, 1897. The Theory of the Top. Charles Scribner's Sons, New York.

Klein, Felix, 1926. Vorlesungen über die Entwicklung der Mathematik im 19. Jahrhundert, Springer-Verlag, Berlin, 2 vols. Reprint: American Mathematical Society (Chelsea Publishing Company), Providence, RI, 1967.

Klein, Jacob, 1933. Plato's Trilogy: Theaetetus, the Sophist, and the Statesman, University of Chicago Press, Chicago, 1977.

Klein, Jacob, 1934–1936. Greek Mathematical Thought and the Origin of Algebra, translated by Eva Brann, MIT Press, Cambridge, MA, 1968.

Klein, Jacob, 1965. A Commentary on Plato's Meno, University of North Carolina Press, Chapel Hill, NC.

Kleiner, Israel, 1991. “Emmy Noether: Highlights of her life and work,” Proceedings of the 17th Annual Meeting of the CSHPM/SCHPM, Queen's University, Kingston, Ontario, pp. 19–42.

Kline, Morris, 1953. Mathematics in Western Culture, Oxford University Press.

Kline, Morris, 1972. Mathematical Thought From Ancient to Modern Times, Oxford University Press.

Knorr, Wilbur, 1975. The Evolution of the Euclidean Elements, Reidel, Boston.

Knorr, Wilbur, 1976. “Problems in the interpretation of Greek number theory: Euclid and the ‘fundamental theorem of arithmetic’,” Studies in the Historical and Philosophical Sciences, 7, 353–368.

Knorr, Wilbur, 1982. “Techniques of fractions in ancient Egypt,” Historia Mathematica, 9, No. 2, 133–171.

Koblitz, Ann Hibner, 1983. A Convergence of Lives. Sophia Kovalevskaia: Scientist, Writer, Revolutionary. Birkhäuser, Boston.

Koblitz, Ann Hibner, 1984. “Sofia Kovalevskaia and the mathematical community,” The Mathematical Intelligencer, 6, No. 1, 20–29.

Koehler, Otto, 1937. Bulletin of Animal Behavior, No. 9. English translation in James R. Newman, ed., The World of Mathematics, vol. 1, Simon and Schuster, New York, 1956, pp. 491–492.

Kowalewski, Gerhard, 1950. Bestand und Wandel, Oldenbourg, München.

Kracht, Manfred; Kreyszig, Erwin, 1990. “E. W. von Tschirnhaus: his role in early calculus and his work and impact on algebra,” Historia Mathematica, 17, No. 1, 16–35.

Kreyszig, Erwin, 1993. “On the calculus of variations and its major influences on the mathematics of the first half of our century,” Proceedings of the 19th Annual Meeting of the CSHPM/SCHPM, Carleton University, Ottawa, Ontario, pp. 119–149.

Kunoff, Sharon, 1990. “A curious counting/summation formula from the ancient Hindus,” in: Proceedings of the 16th Annual Meeting of the CSHPM/SCHPM, University of Victoria, Victoria, British Columbia, pp. 101–107.

Kunoff, Sharon, 1992. “Some inheritance problems in ancient Hebrew literature,” in: Proceedings of the 18th Annual Meeting of the CSHPM/SCHPM, University of Prince Edward Island, Charlottetown, P.E.I., pp. 14–20.

Lagrange, J.-L., 1771. “Réflexions sur la résolution algébrique des équations,” Nouveaux mémoires de l'Académie Royale des Sciences et Belles-lettres de Berlin; Œuvres (1869), Vol. 3, pp. 205–421.

Lagrange. J.-L., 1795. Lectures on Elementary Mathematics, translated by Thomas J. McCormack, Open Court, Chicago, 1898.

Lam Lay-Yong, 1994. “Jiu Zhang Suanshu (Nine Chapters on the Mathematical Art): An Overview,” Archive for History of Exact Sciences, 47, No. 1, 1–51.

Lam Lay-Yong; Ang Tian-Se, 1986. “Circle measurements in ancient China,” Historia Mathematica, 13, No. 4, 325–340.

Lam Lay-Yong; Ang Tian-Se, 1987. “The earliest negative numbers: how they emerged from a solution of simultaneous linear equations,” Archive for History of Exact Sciences, 37, 222–267.

Lam Lay-Yong; Ang Tian-Se, 1992. Fleeting Footsteps. Tracing the Conception of Arithmetic and Algebra in Ancient China, World Scientific, River Edge, NJ.

Lam Lay-Yong; Shen Kangsheng, 1985. “The Chinese concept of Cavalieri's principle and its applications,” Historia Mathematica, 12, No. 3, 219–228.

Lasserre, François, 1964. The Birth of Mathematics in the Age of Plato, Hutchinson, London.

Lattin, harriet Pratt, 1961. The Letters of Gerbert, Columbia University Press, New York.

Laugwitz, Detlef, 1987. “Infinitely small quantities in Cauchy's textbooks,” Historia Mathematica, 14, No. 3, 258–274.

Laugwitz, Detlef, 1999. Bernhard Riemann, 1826–1866: Turning Points in the Conception of Mathematics, Birkhäuser, Boston.

Levey, Martin, 1966. The Algebra of Abimg Kimgmil, University of Wisconsin Press, Madison, WI.

Levey, Martin; Petruck, Marvin, 1965. Kimgshyimgr ibn Labbimgn: Principles of Hindu Reckoning, University of Wisconsin Press, Madison, WI.

Libbrecht, Ulrich, 1973. Chinese Mathematics in the Thirteenth Century, MIT Press, Cambridge, MA.

Liebmann, Heinrich, 1904. N. J. Lobatschefskijs imaginäre Geometrie und Anwendung der imaginären Geometrie auf einige Integrale, Teubner, Leipzig.

Li Yan; Du Shiran, 1987. Chinese Mathematics: A Concise History, translated by John N. Crossley and Anthony W.-C. Lun, Clarendon Press, Oxford.

Mack, John, 1990. Emil Torday and the Art of the Congo. 1900–1909, University of Washington Press, Seattle, WA.

Maharajah, Bharati Krishna Tirthaji, 1965. Vedic Mathematics. Motilal Banarsidass Publishers, Delhi.

Mallayya, V. Madhukar, 1997. “Arithmetic operation of division with special reference to Bhimgskara II's Limglimgvatimg and its commentaries,” Indian Journal of History of Science, 32, No. 4, 315–324.

Mancosu, Paolo, 1989. “The metaphysics of the calculus: a foundational debate in the Paris Academy of Sciences, 1700–1706,” Historia Mathematica, 16, No. 3, 224–248.

Martzloff, Jean-Claude, 1982. “Li Shanlan (1811–1882) and Chinese traditional mathematics,” The Mathematical Intelligencer, 14, No. 4, 32–37.

Martzloff, Jean-Claude, 1990. “A survey of Japanese publications on the history of Japanese traditional mathematics (Wasan) from the last 30 years,” Historia Mathematica, 17, No. 4, 366–373.

Martzloff, Jean-Claude, 1993. “Eléments de réflexion sur les réactions chinoises à la géométrie euclidienne à la fin du XVIIième siècle—Le Jihe lunyue {a}de Du Zhigeng {b}vue principalement à partir de la préface de l'auteur et deux notices bibliographiques rédigées par des lettrés illustres,” Historia Mathematica, 20, 160–179.

Martzloff, Jean-Claude, 1994. “Chinese mathematics,” in: I. Grattan-Guinness, ed., Companion Encyclopedia of the History and Philosophy of the Mathematical Sciences, Vol. 1, Routledge, London, pp. 93–103.

Matvievskaya, G. P., 1999. “On the Arabic commentaries to the tenth book of Euclid's Elements,” Istoriko-Matematicheskie Issledovaniya, 4, No. 39, 12–25 (Russian).

Melville, Duncan, 2002. “Weighing stones in ancient Mesopotamia,” Historia Mathematica, 29, No. 1, 1–12.

Menninger, Karl, 1969. Number Words and Number Symbols: A Cultural History of Numbers, translated from the revised German edition by Paul Broneer. MIT Press, Cambridge, MA.

Mikami Yoshio, 1913. The Development of Mathematics in China and Japan. Reprint: Chelsea, New York, 1961.

Mikolás, M., 1975. “Some historical aspects of the development of mathematical analysis in Hungary,” Historia Mathematica, 2, No. 2, 304–308.

Milman, Dean; Guizot, M.; Smith, William, 1845. The History of the Decline and Fall of the Roman Empire by Edward Gibbon, John D. Morris, Philadelphia.

Moore, Gregory H., 1982. Zermelo's Axiom of Choice, Springer-Verlag, New York.

Murata Tamotsu, 1994. “Indigenous Japanese mathematics, wasan,” in: I. Grattan-Guinness, ed., Companion Encyclopedia of the History and Philosophy of Mathematical Science, Vol. 1, Routledge, London, pp. 104–110.

Narasimhan, Raghavan, 1990. Bernhard Riemann: Gesammelte Mathematische Werke, Wissens-chaftlicher Nachlaß und Nachträge, Springer-Verlag, Berlin.

Needham, J., 1959. Science and Civilisation in China, Vol. 3: Mathematics and the Sciences of the Heavens and the Earth, Cambridge University Press, London.

Neugebauer, O., 1935. Mathematische Keilschrifttexte, Springer-Verlag, Berlin.

Neugebauer, O., 1952. The Exact Sciences in Antiquity, Princeton University Press, Princeton, NJ.

Neugebauer, O., 1975. A History of Ancient Mathematical Astronomy (three vols.), Springer-Verlag Berlin.

Novosyolov, M. M., 2000. “On the history of the debate over intuitionistic logic,” Istoriko-Matematicheskie Issledovaniya, 5, No. 40, 272–280 (Russian).

Ore, Oystein 1957. Niels Henrik Abel, Mathematician Extraordinary. Reprint: Chelsea, New York, 1974.

Özdural, Alpay, 2000. “Mathematics and arts: connections between theory and practice in the Medieval Islamic world,” Historia Mathematica, 27, 171–200.

Panteki, M., 1987. “William Wallace and the introduction of Continental calculus to Britain: a letter to George Peacock,” Historia Mathematica, 14, No. 2, 119–132.

Parshall, Karen Hunger, 1985. “Joseph H. M. Wedderburn and the structure theory of algebras,” Archive for History of Exact Sciences, 32, Nos. 3/4, 223–349.

Parshall, Karen Hunger, 1988. “The art of algebra from al-Khwarizmi to Viète: a study in the natural selection of ideas,” History of Science, 26, 129–164.

Parshall, Karen Hunger, 2000. “Perspectives on American mathematics,” Bulletin of the American Mathematical Society, 37, No. 4, 381–405.

Patterson, S. J., 1990. “Eisenstein and the quintic equation,” Historia Mathematica, 17, 132–140.

Pavlov, Ivan, 1928. Conditioned Reflexes. Reprint: Dover, New York, 1960.

Pavlov, Ivan, 1955. Selected Works, Foreign Languages Publishing House, Moscow.

Perminov, V. Ya., 1997. “On the nature of deductive reasoning in the pre-Greek era of the development of mathematics,” Istoriko-Matematicheskie Issledovaniya 2, No. 37, 180–200 (Russian).

Pesic, Peter, 2003. Abel's Proof, MIT Press, Cambridge, MA.

Phili, Ch., 1997. “Sur le développement des mathématiques en Grèce durant la période 1850–1950. Les fondateurs,” Istoriko-Matematicheskie Issledovaniya, 2nd ser., special issue on mathematical schools.

Piaget, Jean, 1952. The Child's Conception of Number, Humanities Press, New York.

Piaget, Jean; Inhelder, Bärbel, 1967. The Child's Conception of Space, Routledge & Kegan Paul, London.

Picard, É., ed., 1897. Œuvres Mathématiques d'Évariste Galois, Gauthier-Villars, Paris.

Pingree, David, 1968. “The fragments of the works of Ya‘qimgb ibn Timgriq,” Journal of Near Eastern Studies, 26, 97–125.

Pingree, David, 1970. “The fragments of the works of al-Fazimgrimg,” Journal of Near Eastern Studies, 28, 103–123.

Pitcher, Everett, 1988. “The growth of the American Mathematical Society,” Notices of the American Mathematical Society, 35, No. 6, 781–782.

Plofker, Kim, 2009. Mathematics in India. Princeton University Press.

Poisson, S.-D., 1818. “Remarques sur les rapports qui existent entre la propagation des ondes à la surface de l'eau, et leur propagation dans une plaque élastique,” Bulletin des sciences, par la Société Philomatique de Paris, 97–99.

Price, D. J., 1964. “The Babylonian ‘Pythagorean triangle’,” Centaurus, 10, 210–231.

Pringsheim, A., 1910. “Über neue Gültigkeitsbedingungen für die Fouriersche Integralformel,” Mathematische Annalen, 68, 367–408.

Rajagopal, P., 1993. “Infinite series in south Indian mathematics, 1400–1600,” Proceedings of the CSHPM/SCHPM 19th Annual Meeting, Carleton University, Ottawa, Ontario, pp. 86–118.

Rashed, Roshdi, 1989. “Ibn al-Haytham et les nombres parfaits,” Historia Mathematica, 16, No. 4, 343–352.

Rashed, Roshdi, 1990. “A pioneer in anaclastics: Ibn Sahl on burning mirrors and lenses,” Isis, 81, No. 308, 464–491.

Rashed, Roshdi, 1993. Les mathématiques infinitésimales du IXe au XIe siècle, Vol. II, Al-Furqan Islam Heritage Foundation, London.

R¯ashid, Rushd¯i, 1994. The Development of Arabic Mathematics: between Arithmetic and Algebra, translated by Angela Armstrong, Kluwer Academic, Dordrecht and Boston.

Reich, Karin, 1977. Carl Friedrich Gauss: 1777/1977, Inter Nationes, Bonn–Bad Godesberg.

Richards, Joan, 1987. “Augustus de Morgan and the history of mathematics,” Isis, 78, No. 291, 7–30.

Robins, Gay; Shute, Charles, 1987. The Rhind Mathematical Papyrus: An Ancient Egyptian Text, British Museum Publications, London.

Robson, Eleanor, 1995. Old Babylonian coefficient lists and the wider context of mathematics in ancient Mesopotamia 2100–1600 BC. Dissertation, Oxford University.

Robson, Eleanor, 1999. Mesopotamian Mathematics, 2100–1600 BC: Technical Constants in Bureaucracy and Education, Clarenden Press, Oxford and Oxford University Press, New York.

Robson, Eleanor, 2001. “Neither Sherlock Holmes nor Babylon: A reassessment of Plimpton 322,” Historia Mathematica, 28, No. 3, 167–206.

Robson, Eleanor, 2008. Mathematics in Ancient Iraq, Princeton University Press.

Robson, Eleanor, 2009. “Mathematics education in an Old Babylonian scribal school,” in: Robson and Stedall, 2009, pp. 199–227.

Robson, Eleanor; Stedall, Jacqueline, eds., 2009. The Oxford Handbook of the History of Mathematics, Oxford University Press.

Rosen, Frederic, 1831. The Algebra of Mohammed ben Musa, Oriental Translation Fund, London.

Russell, Bertrand, 1945. A History of Western Philosophy, Simon and Schuster, New York.

Sabra, A. I., 1969. “Simplicius's proof of Euclid's parallel postulate,” Journal of the Warburg and Courtauld Institute, 32, 1–24.

Sabra, A. I., 1998. “One ibn al-Haytham or two? An exercise in reading the bio-bibliographical sources,” Zeitschrift für Geschichte der Arabisch-Islamischen Wissenschaft, 12, 1–50.

Sarkor, Ramatosh, 1982. “The Bakhshali Manuscript,” Ganita-Bharati (Bulletin of the Indian Society for the History of Mathematics), 4, Nos. 1–2, 50–55.

Scharlau, W., 1986. Rudolf Lipschitz, Briefwechsel mit Cantor, Dedekind, Helmholtz, Kronecker, Weierstraß, Vieweg, Deutsche Mathematiker-Vereinigung, Braunschweig–Wiesbaden.

Scharlau, Winfried; Opolka, Hans, 1985. From Fermat to Minkowski: Lectures on the Theory of Numbers and Its Historical Development, Springer-Verlag, New York.

Servos, John W., 1986. “Mathematics and the physical sciences in America, 1880–1930,” Isis, 77, 611–629.

Sesiano, Jacques, 1982. Books IV to VII of Diophantus' Arithmetica in the Arabic Translation Attributed to Qusta ibn Luqa, Springer-Verlag, New York.

Shen Kangshen, 1988. “Mutual-subtraction algorithm and its applications in ancient China,” Historia Mathematica, 15, 135–147.

Siegmund-Schultze, Reinhard, 1988. Ausgewählte Kapitel aus der Funktionenlehre, Teubner, Leipzig.

Siegmund-Schultze, Reinhard, 1997. “The emancipation of mathematical research publication in the United States from German dominance (1878–1945),” Historia Mathematica, 24, 135–166.

Sigler, L. E., transl., 1987. Leonardo Pisano Fibonacci: The Book of Squares, Academic Press, New York.

Simonov, R. A., 1999. “Recent research on methods of rationalizing the computation of the Slavic Easter calculators (from manuscripts of the 14th through 17th centuries),” Istoriko-Matematicheskie Issledovaniya, 3, No. 38, 11–31 (Russian).

Singh, Parmanand, 1985. “The so-called Fibonacci numbers in ancient and medieval India,” Historia Mathematica, 12, No. 3, 229–244.

Skinner, B. F., 1948. “ ‘Superstition’ in the pigeon,” Journal of Experimental Psychology, 38, No. 1 (February), 168–172.

Smith, David Eugene, 1929. A Source Book in Mathematics, 2 vols. Reprint: Dover, New York, 1959.

Smith, David Eugene; Ginsburg, Jekuthiel, 1934. A History of Mathematics in America before 1900, Mathematical Association of America/Open Court, Chicago (Carus Mathematical Monograph 5).

Smith, David Eugene; Ginsburg, Jekuthiel, 1937. Numbers and Numerals, National Council of Teachers of Mathematics, Washington, DC.

Smith, David Eugene; Latham, Marcia L., transl., 1954. The Geometry of René Descartes. Reprint: Dover, New York.

Smith, David Eugene; Mikami, Yoshio, 1914. A History of Japanese Mathematics, Open Court, Chicago.

Srinivasiengar, C. N., 1967. The History of Ancient Indian Mathematics, World Press Private, Calcutta.

Stanley, Autumn, 1992. “The champion of women inventors,” American Heritage of Invention and Technology, 8, No. 1, 22–26.

Stevin, Simon, 1585. De Thiende. German translation by Helmuth Gericke and Kurt Vogel. Akademische Verlag, Frankfurt am Main, 1965.

Strauss, Walter, 1977. Albrecht Dürer: The Painter's Manual, Abaris Books, New York.

Struik, D. J., 1933. “Outline of a history of differential geometry,” Isis, 19, 92–121, 20, 161–192.

Struik, D. J., ed., 1986. A Source Book in Mathematics, 1200–1800, Princeton University Press, Princeton, NJ.

Stubhaug, Arild, 2000. Niels Henrik Abel and his Times: Called Too Soon by Flames Afar, Springer-Verlag, New York.

Stubhaug, Arild, 2002. The Mathematician Sophus Lie: It Was the Audacity of my Thinking, translated from the Norwegian by Richard Daly, Springer-Verlag, Berlin.

Swetz, Frank, 1977. Was Pythagoras Chinese? An Examination of Right Triangle Theory in Ancient China, The Pennsylvania State University Studies, No. 40. The Pennsylvania State University Press, University Park, PA, and National Council of Teachers of Mathematics, Reston, VA.

Thomas, Ivor, 1939. Selections Illustrating the History of Greek Mathematics, Vol. 1, Thales to Euclid, Harvard University Press, Cambridge, MA.

Thomas, Ivor, 1941. Selections Illustrating the History of Greek Mathematics, Vol. 2, Aristarchus to Pappus, Harvard University Press, Cambridge, MA.

Thoren, Victor E., 1988. “Prosthaphæresis revisited.” Historia Mathematica, 15, 32–39.

Todhunter, Isaac, 1861. A History of the Calculus of Variations in the Nineteenth Century. Reprint: Chelsea, New York, 1962.

Todhunter, Isaac, 1865. A History of the Mathematical Theory of Probability from the Time of Pascal to that of Laplace. Reprint: Chelsea, New York, 1949.

Toomer, G. J., 1976. Diocles on Burning Mirrors: The Arabic Translation of the Lost Greek Original, Springer-Verlag, New York.

Toomer, G. J., 1984a. Ptolemy's Almagest, Springer-Verlag, New York.

Toomer, G. J., 1984b. “Lost Greek mathematical works in Arabic translation,” The Mathematical Intelligencer, 4, No. 2, 32–38.

Toomer, G. J., 1990. Conies, Books V to VII. The Arabic Translation of the Lost Greek Original in the Version of the Banu Musa. Springer, New York.

Tropfke, 1902. Geschichte der Elementarmatematik, 4. Auflage, completely revised by Kurt Vogel, Karin Reich, and Helmuth Gericke. Band 1: Arithmetik und Algebra. Walter de Gruyter, Berlin and New York, 1980.

Tsaban, Boaz; Garber, David, 1998. “On the rabbinical approximation of π,” Historia Mathematica, 25, No. 1, 75–84.

Unguru, Sabetai, 1975/76. “On the need to rewrite the history of Greek mathematics,” Archive for History of Exact Sciences, 15, No. 1, 67–114.

Urton, Gary, 1997. The Social Life of Numbers: A Quechua Ontology of Numbers and Philosophy of Arithmetic, University of Texas Press, Austin, TX.

Varadarajan, V. S., 1983. “Mathematics in and out of Indian universities,” The Mathematical Intelligencer, 5, No. 1, 38–42.

Vidyabhusana, Satis Chandra, 1971. A History of Indian Logic (Ancient, Mediaeval, and Modern Schools), Motilal Banarsidass, Delhi.

Volkov, Alexei, 1997. “Zhao Youqin and his calculation of π,” Historia Mathematica, 24, No. 3, 301–331.

van der Waerden, B. L., 1963. Science Awakening, Wiley, New York.

van der Waerden, B. L., 1975. “On the sources of my book Moderne Algebra,” Historia Mathematica, 2, 31–40.

van der Waerden, B. L., 1983. Geometry and Algebra in Ancient Civilizations, Springer-Verlag, New York.

van der Waerden, B. L. 1985. A History of Algebra from al-Khwarizmi to Emmy Noether, Springer-Verlag, Berlin.

Walford, E., transl., 1853. The Ecclesiastical History of Socrates, Surnamed Scholasticus. A History of the Church in Seven Books, H. Bohn, London.

Wantzel, Laurent, 1837. “Recherches sur les moyens de reconnaître si un problème de Géométrie peut se resoudre avec la règle et le compas,” Journal de mathématiques pures et appliquées, 2, 366–372.

Wantzel, Laurent, 1843. “Classification des nombres incommensurables d'origine algébrique,” Nouvelles annales de mathématiques, 2, 117–127.

Wantzel, Laurent, 1845. “Démonstration de l'impossibilité de résoudre toutes les équations algébriques avec des radicaux,” Bulletin des sciences, par la Société Philomathique de Paris, 5–7.

Waring, E. 1762. Miscellanea analytica, Oxford.

Weil, André, 1984. Number Theory: An Approach Through History from Hammurapi to Legendre, Birkhäuser, Boston.

Whiteside, T. L., 1967. The Mathematical Papers of Isaac Newton, Johnson Reprint Corporation, London.

Witmer, T. Richard, transl., 1968. The Great Art, or The Rules of Algebra, by Girolamo Cardano, MIT Press, Cambridge, MA.

Woepcke, Franz, 1852. “Notice sur une théorie ajoutée par Thábit ben Korrah à l'arithmétique spéculative des Grècs,” Journal asiatique, 4, No. 20, 420–429.

Woodhouse, Robert, 1810. A History of the Calculus of Variations in the Eighteenth Century. Reprint: Chelsea, New York, 1964.

Yoshida Kôsaku, 1980. “Mathematical works of Takakazu Seki,” The Mathematical Intelligencer, 3, No. 3: Reprint of material written for the centennial of the Japan Academy.

Zaitsev, E. A., 1999. “The meaning of early medieval geometry: from Euclid and surveyors' manuals to Christian philosophy,” Isis, 90, 522–553.

Zaitsev, E. A., 2000. “The Latin versions of Euclid's Elements and the hermeneutics of the twelfth century,” Istoriko-Matematicheskie Issledovaniya, 5, No. 40, 222–232 (Russian).

Zeuthen, H. G., 1903. Geschichte der Mathematik im 16. und 17. Jahrhundert, Teubner, Stuttgart. Johnson Reprint Corporation, New York, 1966.

Zharov, V. K., 2001. “On the ‘Introduction’ to the treatise Suan Shu Chimeng of Zhu Shijie,” Istoriko-Matematicheskie Issledovaniya, 2nd Ser., 6, No. 41, 347–353 (Russian).

Zhmud, Leonid, 1989. “Pythagoras as a mathematician,” Historia Mathematica, 16, No. 3, 249–268.

Zverkina, G. A., 2000. “The Euclidean algorithm as a computational procedure in ancient mathematics,” Istoriko-Matematicheskie Issledovaniya, 5, No. 40, 232–243 (Russian).