Masteries · Jason GlowneyArithmoí Book 1

Masteries

References

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  1. Cayley, Arthur (1854), "On the theory of groups as de­pend­ing on the sym­bol­ic equa­tion θn\theta^{n} = 1", Philo­soph­i­cal Mag­a­zine, 7 (42): 40–47
  1. Hall, Brian C., "Lie Groups, Lie Al­ge­bras, and Rep­re­sen­ta­tions", Grad­u­ate Texts in Math­e­mat­ics, Springer, 2015
  1. Hunter and Nachter­gaele, "Ap­plied Analy­sis", World Sci­en­tif­ic, 2001
  1. Hall, Brian C., "Lie Groups, Lie Al­ge­bras, and Rep­re­sen­ta­tions", Grad­u­ate Texts in Math­e­mat­ics, Springer, 2015
  1. Morris, Dennis, "Com­plex Num­bers the Higher Di­men­sion­al Forms - 2nd Edi­tion", Abane & Right, 2015
  1. Goly­shev, Vasily and Stien­stra, Jan, "Fuch­sian Equa­tions of Type DN", 2017 https://arxiv.org/abs/math/0701936
  1. Still­well, John, "Naive Lie Theory", Springer, 2008
  1. Need­ham, Tris­tan, "Visual Com­plex Analy­sis", Oxford Uni­ver­si­ty Press, 1997
  1. Still­well, John, "Num­bers and Geom­e­try", Springer, 2000
  1. Ado, Igor D., "Note on the rep­re­sen­ta­tion of finite con­tin­u­ous groups by means of linear sub­sti­tu­tions", Izv. Fiz.-Mat. Obsch. (Kazan'), 7: 1–43, 1935.
  1. Still­well, John, "Naive Lie Theory", Springer, 2008
  1. Still­well, John, "Naive Lie Theory", Springer, 2008
  1. Haber, Howard, "Notes on the Matrix Ex­po­nen­tial and Log­a­rithm", 2019 http://scipp.ucsc.edu/~haber/web­page/Ma­trix­Ex­pLog.pdf
  1. Nathan, Ja­cob­son, "Lie Al­ge­bras", John Wiley & Sons, 1966
  1. Bar­radas, Igna­cio et Cohen, Joel, "It­er­at­ed Ex­po­nen­ti­a­tion, Matrix-Matrix Ex­po­nen­ti­a­tion, and En­tropy", The Jour­nal of Math­e­mat­i­cal Analy­sis and Ap­pli­ca­tions, Vol. 183, No. 1, April 1994.
  1. Still­well, John, "Naive Lie Theory", Springer, 2008
  1. "The De­fin­i­tive Glos­sary of Higher Math­e­mat­i­cal Jargon — Sin­gu­lar­i­ty". Math Vault. 2019-08-01.
  1. Roman, Steven, "The Log­a­rith­mic Bi­no­mi­al For­mu­la", The Amer­i­can Math­e­mat­i­cal Month­ly, Vol. 99, No. 7 (Aug. - Sep. 1992)
  1. Euler, Leonard, "De summis se­rierum rec­i­p­ro­carum", Com­men­tarii acad­e­mi­ae sci­en­tiarum Pet­ro­pol­i­tanae, Volume 7:123-134, 1735
  1. Edward Waring, "Med­i­ta­tiones Al­ge­braicae" (Cam­bridge, Eng­land: 1770), p. 218
  1. https://mathshis­to­ry.st-an­drews.ac.uk/Bi­ogra­phies/Al-Haytham/
  1. Joseph Louis La­grange, "Demon­stra­tion d'un théorème nou­veau con­cer­nant les nom­bres pre­miers" (Proof of a new the­o­rem con­cern­ing prime num­bers), Nou­veaux Mé­moires de l'Académie Royale des Sci­ences et Belles-Let­tres (Berlin), vol. 2, pages 125–137 (1771).
  1. Rie­mann, Bern­hard, "On the Number of Primes Less than a Given Mag­ni­tude", Nov. 1859, Pruss­ian Acad­e­my of Sci­ences of the Royal Month­ly in Berlin.
  1. Thomas, K, "From Prime Num­bers to Nu­clear Physics and Beyond", 2013. https://www.ias.edu/ideas/2013/primes-random-ma­tri­ces
  1. *Merali, Z. "Not-quite-so el­e­men­tary, my dear elec­tron." Nature (2012). https://doi.org/10.1038/nature.2012.10471*
  1. L. de Broglie, "Recherch­es sur la théorie des quanta", Thesis (Paris), 1924; L. de Broglie, Ann. Phys. (Paris) 3, 22 (1925).
  1. E. Schrödinger, "An Un­du­la­to­ry Theory of the Me­chan­ics of Atoms and Mol­e­cules" Phys. Rev. 28, 1049 – Pub­lished De­cem­ber 1926
  1. Albert Ein­stein (1905) "Zur Elek­tro­dy­namik be­wegter Körper", An­nalen der Physik 17: 891;
  1. Dray, Tevian, "Th*e Geom­e­try of Spe­cial Rel­a­tiv­i­ty", 2012, CRC Press*