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
K-Poincaré algebra
Super-Poincaré algebra
Poincaré–Bjerknes circulation theorem
Poincaré complex
Poincaré conjecture, one of the Millennium Prize Problems
Generalized Poincaré conjecture
Poincaré disk model, a model of hyperbolic geometry
Poincaré duality
Twisted Poincaré duality
Poincaré–Einstein synchronization
Poincaré expansion
Poincaré group, the group of isometries of Minkowski spacetime, named in honour of Henri Poincaré
K-Poincaré group
Poincaré half-plane model, a model of two-dimensional hyperbolic geometry
Poincaré homology sphere
Poincaré–Hopf theorem
Poincaré inequality
Poincaré–Wirtinger 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
Annales Henri Poincaré
Institut Henri Poincaré
Henri Poincaré Prize
Henri Poincaré University
Poincaré and the Three-Body Problem
Poincaré (crater)
Poincaré Medal
Poincaré Seminars
French submarine Henri Poincaré (Q140)
Books with the title "Henri Poincaré"
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.
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
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.
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