زائر

تسجيل الاشتراك

لديك حساب؟ تسجيل دخول

  • ePub Logo
  • PDF Logo
  • Kindle Logo

اقتراحات بقراءات إضافية

لقد اعتمدت أثناء بحثي لتأليف هذا الكتاب على العديد من الكتب والمقالات. وإضافةً إلى المصادر الأساسية الخاصة بكل فصل من الفصول، ذكرتُ أيضًا بعض المواد الأخرى التي قد تثير اهتمام عموم القراء والقراء المتخصصين في المجال على حد سواء. وفي الحالات التي وجدت فيها أنَّ عنوان المصدر لا يعبر عن علاقته بالموضوع، أضفت جملة أو اثنتين لوصف محتوياته.

الفصل الأول

  • The Last Problem, by E.T. Bell, 1990, Mathematical Association of America. A popular account of the origins of Fermat’s Last Theorem.
  • Pythagoras - A Short Account of His Life and Philosophy, by Leslie Ralph, 1961, Krikos.
  • Pythagoras - A Life, by Peter Gorman, 1979, Roudedge and Kegan Paul.
  • A History of Greek Mathematics, Vols. 1 and 2, by Sir Thomas Heath, 1981, Dover.
  • Mathematical Magic Show, by Martin Gardner, 1977, Knopf. A collection of mathematical puzzles and riddles.
  • River meandering as a self-organization process, by Hans-Henrik Støllum, Science 271 (1996), 1710-1713.

الفصل الثانى

  • The Mathematical Career of Pierre de Fermat, by Michael Mahoney, 1994, Princeton University Press. A detailed investigation into the life and work of Pierre de Fermat.
  • Archimedes’ Revenge, by Paul Hoffman, 1988, Penguin. Fascinating tales which describe the joys and perils of mathematics.

الفصل الثالث

  • Men of Mathematics, by E.T. Bell, Simon and Schuster, 1937. Biographies of history’s greatest mathematicians, including Euler, Fermat, Gauss, Cauchy and Kummer.
  • The periodical cicada problem, by Monte Lloyd and Henry S. Dybas, Evolution 20 (1966), 466–505.
  • Women in Mathematics, by Lynn M. Osen, 1994, MIT Press. A largely non-mathematical text containing the biographies of many of the foremost female mathematicians in history, including Sophie Germain.
  • Math Equals: Biographies of Women Mathematicians + Related Activities, by Teri Perl, 1978, Addison-Wesley.
  • Women in Science, by H. J. Mozans, 1913, D. Appleton and Co.
  • Sophie Germain, by Amy Dahan Dalmédico, Scientific American, December 1991. A short article describing the life and work of Sophie Germain.
  • Fermat’s Last Theorem - A Genetic Introduction to Algebraic Number Theory, by Harold M. Edwards, 1977, Springer. A mathematical discussion of Fermat’s Last Theorem, including detailed outlines of some of the early attempts at a proof.
  • Elementary Number Theory, by David Burton, 1980, Allyn & Bacon.
  • Various communications, by A. Cauchy, C. R. Acad. Sci. Paris 24 (1847), 407–416, 469–483.
  • Note au sujet de la demonstration du theoreme de Fermat, by G. Lamé, C. R. Acad. Sci. Paris 24 (1847), 352.
  • Extrait d’une lettre de M. Kummer á M. Lionville, by E.E. Kummer, J. Math. Pures etAppl. 12 (1847), 136. Reprinted in Collected Papers, Vol. I, edited by A. Weil, 1975, Springer.
  • A Number for Tour Thoughts, by Malcolm E. Lines, 1986, Adam Hilger. Facts and speculations about numbers from Euclid to the latest computers, including a slightly more detailed description of the dot conjecture.

الفصل الرابع

  • 3.1416 and All That, by PJ. Davis and W.G. Chinn. 1985, Birkhauser. A series of stories about mathematicians and mathematics, including a chapter about Paul Wolfskehl.
  • The Penguin Dictionary of Curious and Interesting Numbers, by David Wells, 1986, Penguin.
  • The Penguin Dictionary of Curious and Interesting Puzzles, by David Wells, 1992, Penguin.
  • Sam Loyd and his Puzzles, by Sam Loyd (II), 1928, Barse and Co.
  • Mathematical Puzzles of Sam Loyd, by Sam Loyd, edited by Martin Gardner, 1959, Dover.
  • Riddles in Mathematics, by Eugene P. Northropp, 1944, Van Nostrand.
  • The Picturegoers, by David Lodge, 1993, Penguin.
  • 13 Lectures on Fermat’s Last Theorem, by Paulo Ribenboim, 1980, Springer. An account of Fermat’s Last Theorem, written prior to the work of Andrew Wiles, aimed at graduate students.
  • Mathematics: The Science of Patterns, by Keith Devlin, 1994, Scientific American Library. A beautifully illustrated book which conveys the concepts of mathematics through striking images.
  • Mathematics: The New Golden Age, by Keith Devlin, 1990, Penguin. A popular and detailed overview of modern mathematics, including a discussion on the axioms of mathematics.
  • The Concepts of Modem Mathematics, by Ian Stewart, 1995, Penguin.
  • Principia Mathematica, by Betrand Russell and Alfred North Whitehead, 3 vols , 1910, 1912, 1913, Cambridge University Press.
  • Kurt Gödel, by G. Kreisel, Biographical Memoirs of the Fellows of the Royal Society, 1980.
  • A Mathematician’s Apology, by G.H. Hardy, 1940, Cambridge University Press. One of the great figures of twentieth-century mathematics gives a personal account of what motivates him and other mathematicians.
  • Alan Turing: The Enigma of Intelligence, by Andrew Hodges, 1983, Unwin Paperbacks. An account of the life of Alan Turing, including his contribution to breaking the Enigma code.

الفصل الخامس

  • Yutaka Taniyama and his time, by Goro Shimura, Bulletin of the London Mathematical Society 21 (1989), 186-196. A very personal account of the life and work of Yutaka Taniyama.
  • Links between stable elliptic curves and certain diophantine equations, by Gerhard Frey, Ann. Univ. Sarav. Math. Ser. 1 (1986), 1-40. The crucial paper which suggested a link between the Taniyama-Shimura conjecture and Fermat’s Last Theorem.

الفصل السادس

  • Genius and Biographers: the Fictionalization of Evariste Galois, by T. Rothman, Amer. Math. Monthly 89 (1982), 84—106. Contains a detailed list of the historical sources behind Galois’s biographies, and discusses the validity of the various interpretations.
  • La vie d’Evariste Galois, by Paul Depuy, Annales Scientifiques de I’Ecole Normale Superieure 13 (1896), 197-266.
  • Mes Memoirs, by Alexandre Dumas, 1967, Editions Gallimard.
  • Notes on Fermat’s Last Theorem, by Alf van der Poorten, 1996, Wiley. A technical description of Wiles’s proof aimed at mathematics undergraduates and above.

الفصل السابع

  • An elementary introduction to the Langlands programme, by Stephen Gelbart, Bulletin of the American Mathematical Society 10 (1984), 177-219. A technical explanation of the Langlands programme aimed at mathematical researchers.
  • Modular elliptic curves and Fermat’s Last Theorem, by Andrew Wiles, Annals of Mathematics 141 (1995), 443-551. This paper includes the bulk of Wiles’s proof of the Taniyama-Shimura conjecture and Fermat’s Last Theorem.
  • Ring-theoretic properties of certain Hecke algebras, by Richard Taylor and Andrew Wiles, Annals of Mathematics 141 (1995), 553—572. This paper describes the mathematics which was used to overcome the flaws in Wiles’s 1993 proof.
  • You can find a set of websites about Fermat’s Last Theorem on Simon Singh’s website: [http://www.simonsingh.com]
الرجوع إلى الصفحة الرئيسية للكتاب

جميع الحقوق محفوظة لمؤسسة هنداوي © ٢٠٢٤