70
Views
0
CrossRef citations to date
0
Altmetric
Original Articles

The Neil Bibby Lecture 2006: From Archimedes to limits: understanding real analysis

Pages 73-85 | Published online: 28 Feb 2007

Bibliography

  • Baron , Margaret . 1969 . The origins of the infinitesimal calculus , Oxford : Pergamon .
  • Burn , RP . 1992a . Irrational numbers in English Language textbooks 1890–1915: constructions and postulates for the completeness of the real numbers . Historia Mathematica , 19 : 158 – 176 .
  • Burn , RP . 1992b . Numbers and functions , Cambridge : Cambridge University Press . second edition 2000
  • Burn , RP . 2005 . The Vice: some historically inspired and proof-generated steps to limits of sequences . Educational Studies in Mathematics , 60 : 269 – 295 .
  • Du Bois , Reymond P . 1882 . Die allgemeine Funktionentheorie , Tübingen : Laupp .
  • Dugac , P . 1973 . Éléments d’analyse de Karl Weierstrass . Archive for History of Exact Sciences , 10 : 41 – 176 .
  • Fauvel , John and Gray , Jeremy . 1987 . The history of mathematics: a reader , London : Macmillan .
  • Grabiner , Judith V . 1981 . The origins of Cauchy's rigorous calculus , Cambridge, MA : MIT Press .
  • Grattan-Guinness , Ivor . 1980 . From the calculus to set theory, 1630–1910 , London : Duckworth .
  • Grégoire de Saint Vincent . 1647 . Opus geometricum quadraturae circuli et sectionum coni, decem librum comprehensum Antwerp
  • Jordan , Camille . 1882–87 . Cours d’Analyse , Paris : Gauthier-Villars . 2nd edition 1893–96
  • Mahoney , Michael Sean . 1994 . The mathematical career of Pierre de Fermat , Princeton : Princeton University Press .
  • Osgood , WF . 1907 . Lehrbuch der Funktionentheorie , Leipzig : Teubner .
  • Pringsheim , A . 1898 . Irrationalzahlen und Konvergenz unendlicher Prozesse . Encyklopädie der mathematischen Wissenschaften , 1 : 1 – 53 . revised French translation by J Molk, ‘Nombres irrationels et notion de limite’, Encyclopédie des sciences mathématiques pure et appliqués, Vol. 1 (1904), 133–208
  • Pourciau , B . 2001 . Newton and the notion of limit, . Historia Mathematica , 28 : 18 – 30 .
  • Struik Dirk , J . 1969 . A source book in mathematics 1200–1800 , Cambridge, MA : Harvard University Press .
  • Wallis , John . 1656 . Arithmetica infinitorum Oxford reprinted Opera mathematica, I, Oxford, 1695; reprinted in facsimile Hildesheim: Olms, 1972

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.