ଜର୍ଜ କ୍ୟାଣ୍ଟର

ଉଇକିପିଡ଼ିଆ ରୁ
ଜର୍ଜ କ୍ୟାଣ୍ଟର
ଜନ୍ମ ଜର୍ଜ ଫର୍ଡିନାଣ୍ଡ ଲୁଡୱିଗ ଫିଲିପ କ୍ୟାଣ୍ଟର
ମାର୍ଚ ୩, ୧୮୪୫(1845-03-03)
ସେଣ୍ଟ ପିଟସବର୍ଗ
ମୃତ୍ୟୁ ୬ ଜାନୁଆରି, ୧୯୧୮ (୭୨ ବର୍ଷ)
ହାଲେ
ଜାତୀୟତା ଜର୍ମାନ

ବିଖ୍ୟାତ ଜର୍ମାନ ଗଣିତଜ୍ଞ । ସେଟ୍ ତତ୍ଵର ଉଦ୍ଭାବକ ଭାବେ ପ୍ରସିଦ୍ଧ ।

ଆଧାର[ସମ୍ପାଦନା]

ଅଧିକ ଦେଖନ୍ତୁ[ସମ୍ପାଦନା]

Older sources on Cantor's life should be treated with caution. See Historiography section above.
Primary literature in English
Primary literature in German
Secondary literature
  • Aczel, Amir D. (2000), written at New York, The mystery of the Aleph: Mathematics, the Kabbala, and the Human Mind, Four Walls Eight Windows Publishing . ISBN 0-7607-7778-0. A popular treatment of infinity, in which Cantor is frequently mentioned.
  • Dauben, Joseph W. (1977), "Georg Cantor and Pope Leo XIII: Mathematics, Theology, and the Infinite", Journal of the History of Ideas 38 (1) .
  • Dauben, Joseph W. (1979), written at Boston, Georg Cantor: his mathematics and philosophy of the infinite, Harvard University Press . The definitive biography to date. ISBN 978-0-691-02447-9
  • Dauben, Joseph W. (1983), "Georg Cantor and the Origins of Transfinite Set Theory", Scientific American 248 (6) 
  • Dauben, Joseph (1993, 2004), "Georg Cantor and the Battle for Transfinite Set Theory", Proceedings of the 9th ACMS Conference (Westmont College, Santa Barbara, CA) . Internet version published in Journal of the ACMS 2004.
  • Davenport, Anne A. (1997), "The Catholics, the Cathars, and the Concept of Infinity in the Thirteenth Century", Isis 88 (2) .
  • Ferreirós, José (2007), written at Basel, Switzerland, Labyrinth of Thought: A History of Set Theory and Its Role in Mathematical Thought, Birkhäuser . ISBN 3-7643-8349-6 Contains a detailed treatment of both Cantor's and Dedekind's contributions to set theory.
  • Grattan-Guinness, Ivor (1971), "Towards a Biography of Georg Cantor", Annals of Science 27 .
  • Grattan-Guinness, Ivor (2000), The Search for Mathematical Roots: 1870–1940, Princeton University Press . ISBN 978-0-691-05858-0
  • Gray, Robert (1994), "Georg Cantor and Transcendental Numbers", American Mathematical Monthly 101 .
  • Hallett, Michael (1986), written at New York, Cantorian Set Theory and Limitation of Size, Oxford University Press . ISBN 0-19-853283-0
  • Halmos, Paul (1998, 1960), written at New York & Berlin, Naive Set Theory, Springer . ISBN 3-540-90092-6
  • Hill, C. O.; Rosado Haddock, G. E. (2000), written at Chicago, Husserl or Frege? Meaning, Objectivity, and Mathematics, Open Court . ISBN 0-8126-9538-0 Three chapters and 18 index entries on Cantor.
  • Johnson, Phillip E. (1972), "The Genesis and Development of Set Theory", The Two-Year College Mathematics Journal 3 (1) .
  • Meschkowski, Herbert (1983), Georg Cantor, Leben, Werk und Wirkung (George Cantor, Life, Work and Influence, in German), Wieveg, Braunschweig 
  • Moore, A.W. (1995), "A brief history of infinity", Scientific American 272 (4) .
  • Penrose, Roger (2004), The Road to Reality, Alfred A. Knopf . ISBN 0-679-77631-1 Chapter 16 illustrates how Cantorian thinking intrigues a leading contemporary theoretical physicist.
  • Purkert, Walter; Ilgauds, Hans Joachim (1985), Georg Cantor: 1845–1918, Birkhäuser . ISBN 0-8176-1770-1
  • Reid, Constance (1996), written at New York, Hilbert, Springer-Verlag . ISBN 0-387-04999-1
  • Rucker, Rudy (2005, 1982), Infinity and the Mind, Princeton University Press . ISBN 0-553-25531-2 Deals with similar topics to Aczel, but in more depth.
  • Rodych, Victor (2007), "Wittgenstein's Philosophy of Mathematics", in Edward N. Zalta, The Stanford Encyclopedia of Philosophy .
  • Snapper, Ernst (1979), "The Three Crises in Mathematics: Logicism, Intuitionism and Formalism", Mathematics Magazine 524 .
  • Suppes, Patrick (1972, 1960), written at New York, Axiomatic Set Theory, Dover . ISBN 0-486-61630-4 Although the presentation is axiomatic rather than naive, Suppes proves and discusses many of Cantor's results, which demonstrates Cantor's continued importance for the edifice of foundational mathematics.
  • Wallace, David Foster (2003), written at New York, Everything and More: A Compact History of Infinity, W.W. Norton and Company . ISBN 0-393-00338-8
  • Weir, Alan (1998), "Naive Set Theory is Innocent!", Mind 107 (428) .