History of Mathematics

Bibliography of Source Materials

 

  1. Baum, Robert J.,  Philosophy and Mathematics : From Plato to the Present, Freeman Cooper, 1973
  2. Berrgren, Lennart, Borwein, Jonathan, and Borwein, Peter, Pi: A Source Book, Springer, 1997
  3. Birkhoff, Garrett, ed.,  A Soucrebook in Classical Analysis, Cambridge: Harvard University Press, 1973
  4. Calinger, Ronald, Classics in Mathematics, Englewood Cliffs, NJ: Prentice-Hall, Inc., 1995
  5. Cohen, M. R. and I. E. Drabkin,  A Source Book in Greek Science, New York: McGraw-Hill, 1948
  6. Fauvel, John and Jeremy Gray, ed., The History of Mathematics: A Reader, London: Macmillan Press, 1987
  7. Grant, Edward, A Source Book in Medieval Science, Cambridge, MA: Harvard U. Press
  8. Smith, David Eugene, ed., A Source Book in Mathematics, 2 vols., New York: Dover Publications, 1959
  9. Struik, Dirk J., A Source Book in Mathematics, 1200--1800, Princeton: Princeton University Press,1986
  10. van Heijenoort, Jean, Frege and Godel: two fundamental texts in mathematical logic, Cambridge, MA: Harvard U. Press, 1970
  11. van Heijenoort, Jean, From Frege to Godel: A Source Book in Mathematical Logic, Cambridge, MA: Harvard U. Press, 1967 

 

  1. Archimedes,  Geometrical Solutons Derived from Mechanics, trans. by Dr. J. L. Heiberg, Lasalle, IL: The Open Court Publishing Company
  2. Condorcet. M.,  Essai sur l'application de l'analyse a la probabilite des decisions rendues a la pluralite des voix, Chelsea Publishing Company, 1974
  3. Darboux, G., Theorie Generale des Surfaces, Chelsea Publishing Comapny, 1974
  4. Dedekind, Richard, Essays on the Theory of Numbers, trans. by W. W. Beman, New York: Dover Publications, 1954
  5. de Moivre, Abraham, The Doctrine of Chances, Dubuque, Ia: William C. Brown Reprint Company
  6. Descartes, Rene, The Geometry, trans. by David Eugene Smith and Marcia L. Latham, New York: Dover Publications, 1954
  7. Euclid, The Elements}, trans. with commentary by T. L. Heath, Dover Publications. (The translation only can be found in Hutchins, Robert Maynard, ed., Great Books of the Western World, vol. 11, Chicago: Encyclopedia Brittanica, Inc., 1952)
  8. Galilei, Galileo, Dialogue Concerning Two New Sciences, ed. by Henry Crew and Alfonso de Salvio, Dover Publications, 1952. (An excerpt can be found in Newman, James R., ed., The World of Mathematics, New York: Simon and Schuster, 1956, vol. 2, pp.734 --770. There is another translation by Stillman Drake, University of Wisconsin Press, 1974.
  9. Galilei, Galileo, Discourses on Two Chief Systems, ed. by Giorgio de Santillana, U. of Chicago Press, 1953 
  10. Gauss, C. F., Disquisitiones Aritmeticae, New Haven: Yale University Press, 1966
  11. Gauss, C. F., General Investigations of Curved Surfaces, trans. by A. Hiltebeitel and J. Morehead, New York: Raven Press, 1965
  12. Grassman, Hermann, A New Branch of Mathematics: The  Ausdehnungslehre of 1844 and Other Works}, Peru, IL: Open Court Publishing Company, 1994
  13. Grattan-Guiness, Ivor, in collaboration with J. R Ravetz, Joseph Fourier, 1768 -- 1830. A Survey of His Life and Work, Based on a Critical Edition of His Monograph on the Propogation of Heat, Presented to the Institut de France in 1807, MIT Press, 1972
  14. Hilbert, David, The Foundations of Geometry, trans. by Leo Unger, Lasalle, IL: Open Court Publishing Company, 1971
  15. Kwarizmi, Mohammed ben Musa al-, The Algebra of Mohammed ben Musa, trans. and ed. by F. Rosen, John Murray, 1931
  16. Labban, Kushyar Ibn, Principles of Hindu Reckoning (Kitab Fi Usul Hisab al-Hind), trans. by Martin Levy and Marvin Petruck, Madison: U. of Wisconsin Press, 1965
  17. Libbrecht, Ulrich, Chinese Mathematics in the Thirteenth Century. The Shu-shu chiu-chang of Ch'in Chiu-shao, Cambridge, MA: MIT Press, 1973
  18. Lebesque, H., Lecons sur l'integration, Chelsea Publishing Company, 1974
  19. Lie, M. Sophus, Theorie der Transformationsgruppen, 3 vols., Leipzig, 1888--1893
  20. Muller, Johann (Regiomantanus), On Triangles, trans. with introduction and notes by Banabas Hughes, O.F.M., Madison, WI: University of Wisconsin Press, 1967
  21. Napier, John, A Description of the Admirable Table of Logarithms, New York: DeCapo Press, 1969 (reprint of 1616 edition)
  22. Newton, Isaac, The Method of Fluxions and Infinite Series with its Application to the Geometry of Curve-lines, with appendices by John Colson, London: Henry Woodfall, 1736, reissued at Ann Arbor, MI: Zerox University Microfilms, 1975
  23. Newton, Isaac, Philosophiae Naturalis Principia Mathematica, trans. by Andrew Motte, notes by Florian Cajori, reissued by U. of California Press, 1966, can be found in Hutchins, Robert Maynard, ed., Great Books of the Western World, vol. 34, Chicago: Encyclopedia Brittanica, Inc., 1952
  24. Papyrus Berlin, edited by Schack-Schackenburg, Zeitschrift fur aegypyische Sprache 38 (1900), p. 135 and 40 (1902), p. 65
  25. Papyrus Rhind, trans by A. B. Chace, Buffalo: Mathematical Association of America, 1929, reissued by University Microfilms
  26. Peacock, George,  Treatise on Algebra, 2 vols., New York: Scripta Mathematica, 1940
  27. Peirce, Charles S., The New Elements of Mathematics, ed. by Carolyn Eisele, The Hague: Mouton
  28. Pisano, Leonardo (Fibonacci), The Book of Squares, annotated translation by L. E. Sigler, Academic Press, 1987
  29. Proclus,  Commentary on the First Book of Euclid's Elements, trans. by G. R. Morrow, Princeton University Press, 1970
  30. Ptolemaeus, Claudius,  The Almagest, trans. by R. Catesby Taliaferro, in Hutchins, Robert Maynard, ed., Great Books of the Western World, vol. 11 Chicago: Encyclopedia Brittanica, Inc., 1952
  31. Ptolemaeus, Claudius,  Ptolemy's Catalogue of Stars; a Revision of the Almagest, edited by C. H. F. Peters and E. B. Knobel, Washington, D. C.: Carneige Institution, 1915
  32. Record, Robert, The Grounde of Artes, New York: De Capo Press, 1969
  33. Record, Robert, The Whetstone of Witte, New York: De Capo Press, 1969
  34. Russell, Bertrand, The Principles of Mathematics
  35. Salignacus, Bernardus,  The Principles of Arithemeticke, Amsterdam: DeCapo Press, 1969
  36. Seriano, Jacques, The Arabic Text of Books IV to VII of Diophantus' Arithmetica in the Translation of Qusta ibn Luqa, Sources in the History of Mathematics and Physical Sciences, New York: Springer-Verlag, 1975
  37. Tapp, John, The Path-way to Knowlege London, 1613, reissued in Amsterdam: DeCapo Press, 1968 
  1. Lagrange, Joseph-Louis, Oeuvres, edited by M. J. A. Serret and L. Lalanne, Paris: Gauthier-Villars et Fils, 1867--92
  2. Laguerre, E., Oeuvres, Chelsea Publishing Company
  3. Leibniz, Gottfried Wilhelm, Early Mathematical Manuscripts, a Selection, trans. by C.I. Gerhardt, ed. by J.M. Child, Chicago: Open Court, 1920
  4. Leibniz, Gottfried Wilhelm, Logical Papers, a Selection, trans. and ed. by G.H.R. Parkinson, Oxford: Clarendon Press, 1966
  5. Newton, Isaac, Mathematical Works, ed. by D.T. Whiteside, New York, London: Johnson Reprint
  6. Oresme, Nicole, De proportionibus proportionum and Ad pauca respicientes, edited with introductions, translations and notes by Edward Grant, Madison: U. of Wisconsin Press, 1966
  7. Peano, Giuseppe, Selected Works, ed. by Hubert C. Kennedy, Toronto: U. of Toronto Press, 1973
  8. Stevin, Simon, Les Oeuvres Mathematiques de Simon Stevin, edited by Albert Girard, Leyden, 1634
  9. Stevin, Simon, The Principal Works of Simon Stevin, Amsterdam: Swets and Zeitlinger, 1955
  10. Viete, Francois, Opera Mathematica, ed. by Fr. van Schooten, Leiden, 1846, reprinted by Georg Olms, 1970 
  1. Archimedes, ``The Sand Reckoner,'' in Newman, James R., ed. The World of Mathematics, New York: Simon and Schuster, 1956, vol. 1, pp. 420-429
  2. Bernoulli, Jacob, ``The Law of Large Numbers,'' in Newman, James R., ed. The World of Mathematics, New York: Simon and Schuster, 1956, vol. 3, pp. 1452-1455
  3. Euler, Leonhard, ``The Seven Bridges of Konigsberg,'' in Newman, James R., ed. The World of Mathematics, New York: Simon and Schuster, 1956, vol. 1, pp. 573-580
  4. Graunt, John, ``Foundations of Vital Statistics,'' in Newman, James R., ed. The World of Mathematics, New York: Simon and Schuster, 1956, vol. 3, pp. 1421-1435
  5. Klein, Felix, ``A Comparative Review of Recent Researches in Geometry,''  Bulletin of the New York Mathematical Society, v. 2 (1893), 215-249
  6. Moscow Mathematical Press, ed. by W. Struve, Quellen und Studien sur Geschicte der Matematik, ser. A, vol. 1, 1930
  7. Laplace, Pierre Simon de, ``Concerning Probability,'' in Newman, James R., ed., The World of Mathematics, New York: Simon and Schuster, 1956, vol. 2, pp. 1325-1333
  8. Newton, Isaac, ``On the binomial theorem for fractional and negative exponents,'' can be found in Newman, James R., The World of Mathematics, 4 vols., New York: Simon and Schuster, 1956 Newman, World of Mathematics, vol. 1, pp.521-524
  9. Oresme, Nicole,``Part I of  Algorismus proportionum,'' trans. by Edward Grant, Isis 56 (1965), 327-341
  10. Peirce, Benjamin, ``Linear Associative Algebra,'' American Journal of Mathematics 4 (1881)
  11. Riemann, Georg Friedrich Bernhard, ``On the Hypotheses that Lie at the Foundations of Geometry,'' Inaugural Lecture, University of Gottingen, 1854, can be found in Michael Spivak, Comprehensive Introduction to Differential Geometry, 2 vols., Boston: Publish or Perish, Inc., 1970. This work contains the text of  G.F.B. Riemann's Essay of the Foundations of Geometry.
  12. Russell, Bertrand, ``Definition of Number,''  The World of Mathematics, vol I, 537--543
  13. Viete, Francois, Isagoge (Introduction to the Analytic Art), trans. by J. Winfree Smith, Anapolis, MD.: St. Johns College, 1955, appears as an appendix in Jacob Klein,  Greek Mathematical Thought and the Origin of Algebra, trans. by Eva Brann, MIT Press, 1968
  1. Archimedes, Measurement of a Circle.
  2. Euclid, Elements
  3. Euler, Calculus of Probabilities in the game of "co-incidence"
  4. Euler, Proof of a Theorem on Looking at Prime Numbers
  5. Euler, Remarks on a Beautiful Relationship between Series of Powers and Reciprocals of Powers