Библиотека knigago >> Науки естественные >> Математика >> Жемчужина Эйлера

Дэвид С. Ричесон - Жемчужина Эйлера

Жемчужина Эйлера
Книга - Жемчужина Эйлера.  Дэвид С. Ричесон  - прочитать полностью в библиотеке КнигаГо
Название:
Жемчужина Эйлера
Дэвид С. Ричесон

Жанр:

Математика, Научная литература

Изадано в серии:

неизвестно

Издательство:

неизвестно

Год издания:

ISBN:

неизвестно

Отзывы:

Комментировать

Рейтинг:

Поделись книгой с друзьями!

Помощь сайту: донат на оплату сервера

Краткое содержание книги "Жемчужина Эйлера"

Автор книги повествует о примечательной формуле Эйлера для многогранников, прослеживая ее историю от древнегреческой геометрии до совсем недавних исследований, а также о многообразном ее влиянии на топологию — науку об изучении формы.

Читаем онлайн "Жемчужина Эйлера". [Страница - 127]

superficies curvas. Gottingen: Dieterich.

---. (1877). Zur mathematischen theorie der electrodynamischen wirkun-gen. In Werke, vol. 5. Koniglichen Gesellschaft der Wissenchaften zu Gottingen.

Gillispie, C. C. (ed.) (1970-1990). Dictionary of Scientific Biography, Volumes 1-16. New York: Charles Scribner's Sons.

Gingerich, O. (1973). Kepler, Johannes. In C. C. Gillispie (ed.), Dictionary of scientific biography. Vol. 7, 289-312. New York: Charles Scribner's Sons.

Girard, A. (1629). Invention nouvelle en algebre. Amsterdam: Guillaume Jansson Blaeuw.

Gluck, H. (1975). Almost all simply connected closed surfaces are rigid. In Geometric topology (Proc. Conf., Park City, Utah, 1974), 225-39. Lecture Notes in Math., Vol. 438. Berlin: Springer.

Gorman, P. (1979). Pythagoras: A life. London: Routledge & Kegan Paul.

Gottlieb, D. H. (1996). All the way with Gauss-Bonnet and the sociology of mathematics. Amer. Math. Monthly 103 (6), 457-469.

Graham, L. R. (1993). Science in Russia and the Soviet Union: A short history. Cambridge: Cambridge University Press.

Graves, R. P. (1889). Life of Sir William Rowan Hamilton, vol. 3. Dublin: Hodges, Figgis, & Co.

Grunbaum, B. (2003). Convex polytopes (2nd ed.). Vol. 221 of Graduate texts in mathematics. Prepared and with a preface by Volker Kaibel, Victor Klee, and Gunter M. Ziegler. New York: Springer-Verlag.

Grunbaum, B., and G. C. Shephard (1993). Pick's theorem. Amer. Math. Monthly 100 (2), 150-161.

Guillemin, V., and A. Pollack (1974). Differential topology. Englewood Cliffs, NJ: Prentice-Hall.

Guthrie, W. (1962). A history of Greek philosophy: The earlier presocratics and the Pythagoreans, vol. 1. Cambridge: Cambridge University Press.

Hadamard, J. (1907). Erreurs de mathematicians. L'intermediaire des mathe-maticiens 14, 31.

Hales, T. C. (2005). A proof of the Kepler conjecture. Ann. of Math. (2) 162 (3), 1065-1185.

Hamilton, R. S. (1982). Three-manifolds with positive Ricci curvature. J. Differential Geom. 17 (2), 255-306.

Hankel, H. (1884). Die Entwicklung der Mathematik in den letzten Jahrhunder-ten. Tubingen: Verlag und Druck von Franz.

Harcave, S. (1964). Russia: A history (5th ed.). Philadelphia: J. B. Lippincott.

Hardy, G. H. (1992). A mathematician's apology. Cambridge: Cambridge University Press.

Hartley, J. M. (2003). Governing the city: St. Petersburg and Catherine II's reforms. In A. Cross (ed.), St. Petersburg: 1703-1825, 99-118. London: Palgrave Macmillan.

Hatcher, A. (2002). Algebraic topology. Cambridge: Cambridge University Press.

Hayes, B. (2006). Gauss's day of reckoning: A famous story about the boy wonder of mathematics has taken on a life of its own. Ame rican Scientist 94 (3), 200-205.

Heath, T. (1981). A history of Greek mathematics: From Aristarchus to Diophantus, vol. II. Corrected reprint of the 1921 original. New York: Dover.

Hemingway, E. (1960). Death in the afternoon. New York: Charles Scribner & Sons.

Hessel, J. F. (1832). Nachtrag zu dem Eulerschen Lehrsatz von Po^dern. Journal fur die Reine und Angewandte mathematik 8, 13-20.

Hierholzer, C. (1873). Uber die mglichkeit, einen linienzug ohne wiederhol-ung und ohne unterbrechnung zu umfahren. Mathematische Annalen 6, 30-32.

Hilbert, D., and S. Cohn-Vossen (1952). Geometry and the imagination. Translated by P. Nemenyi. New York: Chelsea Publishing Company.

Hollingdale, S. (1989). Makers of mathematics. London: Penguin Books, a Pelican Book.

Hopf, H. (1925). Uber die curvatura integra geschlossener Hyperflachen. Math. Ann. 95, 340-367.

---. (1926a). Abbildungsklassen n-dimensionaler Mannigfaltigkeiten. Math. Ann. 96, 209-224.

---. (1926b). Vectorfelder in n-dimensionalen Mannigfaltigkeiten. Math. Ann. 96, 225-249.

---. (1935). Uber die Drehung der Tangenten und Sehnen ebener Kurven. Comp. Math. 2, 50-62.

Hopkins, B., and R. Wilson (2004). The truth about Konigsburg. Col. Math. J. 35 (3), May, 198-207.

Hoppe, R. (1879). Erganzung des eulerschen satzes von den polyedern. Archiv der Mathematik und Physik 63, 100-103.

Itard, J. (1972). Girard, Albert. In C. C. Gillispie (ed.), Dictionary of scientific biography. Vol. 5, 408-410. New York: Charles Scribner's Sons.

---. (1973). Legendre, Adrien-Marie. In C. C. Gillispie (ed.), Dictionary of scientific biography. Vol. 8, 135-143. New York: Charles Scribner's Sons.

Jackson, A. (2006). Conjectures no more? Consensus forming on the proof of the Poincare and geometrization conjectures. Notices Amer. Math. Soc. 53 (8), 897-901.

James, I. M. (1999). From combinatorial topology to algebraic topology. In History of topology, 561-73. Amsterdam: North-Holland.

---. (2001). Combinatorial topology versus point-set topology. In Handbook of the history of general topology, Vol. 3 of History of Topology Series, 809-834. Dordrecht: Kluwer Acad. Publ.

Jones, P. S. (1994). Irrationals or incommensurables I: Their discovery and a «logical scandal». In F. J. Swetz (ed.), From five fingers to infinity: A journey through the history of mathematics, 172-175. Chicago: Open Court.

Jordan, C. (1866a). Des contours traces sur les surfaces. J. Math. Pures Appl. (2) 11, 110-130. See also Oeuvres, vol. 4, 91-112, Paris: Gauthier-Villars et cie, 1964.

---. (1866b). Recherches sur les polyedres. Comptes rendus des Seances de l'Academie des Sciences 62, 1339-1341.

Juskevic, A. P., and E. Winter (1965). Leonhard Euler und Christian Goldbach: Briefwechsel 1729-1764. Berlin: Akademie-Verlag.

Katz, V. J. (1993). A history of mathematics: An introduction. New York: Harper Collins College Publishers.

Kauffman, L. H. (1987a). On knots, vol. 115 of Annals of mathe matics studies. Princeton, NJ: Princeton University Press.

---. (1987b). State models and the Jones polynomial. Topology 26 (3), 395407.

Kempe, A. B. (1879). On the geographical problem of four colors. American Journal of Mathematics II, 193-204.

Kepler, J. (1596). Mysterium cosmog^'aphicum. Tubingen.

---. (1938). Harmonice mundi. In M. Caspar (ed.), Johannes Kepler gesam-melte werke, vol. 6. Munich: Beck.

---. (1981). Mysterium cosmographicum: The secret of the universe. Translation by A. M. Duncan, introduction and commentary by E. J. Aiton, with a preface by I. Bernard Cohen. New York: Abaris Books.

---. (1997). The harmony of the world, vol. 209 of Memoirs of the American Philosophical Society. Translated from the Latin and with an introduction and notes by E. J. Aiton, A. M. Duncan, and J. V. Field, with a preface by Duncan and Field. Philadelphia: American Philosophical Society.

Klein, F. (1882). Uber Riemanns Theorie der algebraischen Functionen und ihrer Integrale. Leipzig: B. G. Teubner.

---. (1882/83). Neue Beitrage zur Riemannschen Funktionentheorie. Math. Ann. 21, 141-218.

Kleiner, B., and J. Lott (2006). Notes on Perelman's papers. www.math.lsa. umich.edu/~lott/ricciflow/perelman.html.

Kline, M. (1972). Mathematical thought from ancient to modern times. New York: Oxford University Press.

Knobloch, E. (1998). Mathematics at the Prussian Academy of Sciences 17001810. In H. G. W. Begehr, H. Koch, J. Kramer, N. Schnappacher, and E.-J. Thiele (eds.), Mathematics in Berlin, 1-8. Berlin: Birkhauser.

Koestler, A. (1963). The sleepwalkers: A history of man's changing vision of the universe. New York: The Universal Library.

Kuhn, T. S. (1970). The structure of scientific revolutions (2nd ed.). Chicago: University of Chicago Press.

Lakatos, I. (1976). Proofs and refutations: The logic of mathematical discovery. Cambridge: Cambridge University Press.

Lebesgue, H. (1924). Remarques sur les deux premieres demonstrations du theoreme d'Euler relatif aux polyedres. Bulletin de la Societe Mathematique de France 52, 315-336.

Lefschetz, S. (1970). The early development of algebraic topology. Bol. Soc. Brasil. Mat. 1 (1), --">

Оставить комментарий:


Ваш e-mail является приватным и не будет опубликован в комментарии.

Книги схожие с «Жемчужина Эйлера» по жанру, серии, автору или названию: