In physics and mathematics, a number of ideas are named after Henri Poincaré:
- Euler–Poincaré characteristic
- Hilbert–Poincaré series
- Poincaré–Bendixson theorem
- Poincaré–Birkhoff theorem
- Poincaré–Birkhoff–Witt theorem, usually known as the PBW theorem
- Poincaré algebra
- Poincaré–Bjerknes circulation theorem
- Poincaré complex
- Poincaré conjecture, one of the Millennium Prize Problems
- Poincaré disk model, a model of hyperbolic geometry
- Poincaré duality
- Poincaré–Einstein synchronization
- Poincaré expansion
- Poincaré group, the group of isometries of Minkowski spacetime, named in honour of Henri Poincaré
- Poincaré half-plane model, a model of two-dimensional hyperbolic geometry
- Poincaré homology sphere
- Poincaré–Hopf theorem
- Poincaré inequality
- Poincaré–Lelong equation
- Poincaré lemma
- Poincaré-Lefschetz duality
- Poincaré–Lindstedt method
- Poincaré line bundle
- Poincaré map
- Poincaré metric
- Poincaré–Miranda theorem
- Poincaré–Neumann operator
- Poincaré plot
- Poincaré polynomial
- Poincaré recurrence
- Poincaré residue
- Poincaré separation theorem
- Poincaré series (modular form)
- Poincaré space
- Poincaré sphere (optics)
- Poincaré–Steklov operator
- Poincaré symmetry
- Poincaré wave
Other
editBooks with the title "Henri Poincaré"
edit- Appell, Paul (1925). Henri Poincaré. Paris: Plon-Nourrit et cie.[1]
- Henri Poincaré (29 avril 1854-17 juillet 1912). Palermo, Italia: Circolo matematico di Palermo. 1913.
- Dantzig, Tobias (1954). Henri Poincaré, critic of crisis: reflections on his universe of discourse. New York: Scribner.[1]
- Duplantier, Bertrand; Rivasseau, Vincent, eds. (2015). Henri Poincaré, 1912-2012 : Poincaré Seminar 2012. Basel : Birkhäuser; Basel : Springer. ISBN 9783034808347.
- Ginoux, Jean-Marc; Gerini, Christian (2012). Henri Poincaré : une biographie au(x) quotidien(s); préface de Cédric Villani. Paris: Ellipses.[2]
- Gray, Jeremy (2013). Henri Poincaré : a scientific biography. Princeton University Press. ISBN 9780691152714.[3]
- Greffe, Jean-Louis; Heinzmann, Gerhard; Lorenz, Kuno, eds. (1996). Henri Poincaré : science et philosophie : congrès international, Nancy, France, 1994. Berlin : Akademie Verlag, Paris : Albert Blanchard.
- Lebon, Ernest (1909). Henri Poincaré; biographie, bibliographie analytique des écrits. Paris: Gauthier-Villars.[4] deuxième édition. Savants du jour. Gauthier-Villars. 1912.[5]
- Lubomirski, Andrzej (1974). Henri Poincarégo filozofia geometrii. Wrocław: Zakład Narodowy im. Ossolińskich.
- Nordmann, Charles (1913). Henri Poincaré; his scientific work; his philosophy. Washington.
{{cite book}}: CS1 maint: location missing publisher (link) - Sageret, Jules (1911). Henri Poincaré. Les hommes et les idées. Paris: Mercure de France.
- Schmid, Anne-Françoise (2001). Henri Poincaré : les sciences et la philosophie : suivi en annexe des textes de Bertrand Russell sur La science et l'hypothèse et sur Science et méthode. Paris: L'Harmattan.
- Toulouse, Édouard (1910). Henri Poincaré. Enquête médico-psychologique sur la supériorité intellectuelle.[Tome 2.] Paris: E. Flammarion.
- Verhulst, Ferdinand (2012). Henri Poincaré : impatient genius. New York: Springer. ISBN 9781461424079.[6]
- Volterra, Vito; Hadamard, Jacques; Langevin, Paul; Boutron, Pierre (1914). Henri Poincaré: l'œuvre scientifique, l'œuvre philosophique. Nouvelle collection scientifique. Paris: F. Alcan.
References
edit- ^ a b Weinstein, Galina (2012). "Review of A Biography of Henri Poincaré — 2012 Centenary of the Death of Poincaré". arXiv:1207.0759 [physics.hist-ph]. (See pp. 3–4 for mention of Paul Appell and Tobias Dantzig.)
- ^ Bultheel, Adhemar (2014). "Book Review: Henri Poincaré. A Biography Through the Daily Papers (JM. Ginoux, C. Gerini)". European Mathematical Society.
- ^ Stillwell, John (April 2014). "Review of Henri Poincaré. A Scientific Biography by Jeremy Gray" (PDF). Notices of the American Mathematical Society. 61 (4): 378–383. doi:10.1090/noti1101.
- ^ Young, J. W. (1910). "Review of Henri Poincaré par Ernest Lebron" (PDF). Bull. Amer. Math. Soc. 17: 42–43. doi:10.1090/s0002-9904-1910-01998-4.
- ^ Archibald, R. C. (1912). "Jules Henri Poincaré". Journal of the Royal Astronomical Society of Canada. 6: 309. Bibcode:1912JRASC...6..309D. Archibald R. C. (1915). "Savants du Jour: Henri Poincaré, Biographie, Bibliographie analytique des écrits". Bulletin of the American Mathematical Society. 22: 125–137. doi:10.1090/S0002-9904-1915-02738-2.
- ^ Berg, Michael (27 October 2012). "Review of Henri Poincaré: Impatient Genius by Ferdinand Verhulst". MAA Reviews.