### Bibliography

[1] :
“Extensions of certain theorems of Clifford and Cayley in the geometry of __\( n \)__ dimensions,”
Trans. Conn. Acad. Arts Sci.
7
(1885),
pp. 1–18.

[2] :
Extensions of certain theorems of Clifford and Cayley in the geometry of __\( n \)__ dimensions.
Ph.D. thesis,
Yale University,
1885.
Advised by H. A. Newton.
MR
2936718
phdthesis

[3] : “Note on space divisions,” Am. J. Math. 8 : 2 (February 1886), pp. 127–131. MR 1505415 JFM 18.0576.01 article

[4] :
“Algebraic surfaces of which every plane-section is unicursal in the light of __\( n \)__-dimensional geometry,”
Am. J. Math.
10 : 1
(October 1887),
pp. 17–28.
MR
1505461
JFM
19.0787.02
article

[5] : “A problem suggested in the geometry of nets of curves and applied to the theory of six points having multiply perspective relations,” Am. J. Math. 10 : 3 (1888), pp. 243–257. MR 1505481 JFM 20.0609.01 article

[6] : “Note concerning a fundamental theorem of elliptic functions, as treated in Halphen’s Traité, Vol. I, pages 39–41,” Red. Circ. Mat. Palermo 4 (1890), pp. 186–194. JFM 22.0448.01 article

[7] : “Concerning a congruence group of order 360 contained in the group of linear fractional substitutions,” Proc. Am. Assoc. Adv. Sci. 41 (1892), pp. 62.

[8] : “Concerning triple systems,” Math. Ann. 43 : 2–3 (1893), pp. 271–285. MR 1510812 JFM 25.0198.02 article

[9] : “Abstract for ‘A doubly-infinite system of simple groups’,” New York M. S. Bull. III 3 : 3 (1893), pp. 73–78. Abstract only; published in Chicago Congress, Mathematical papers (1896), pp. 208–242. MR 1557275 JFM 25.0198.01 article

[10] : “The group of holoedric transformation into itself of a given group,” Bull. Am. Math. Soc. 1 : 3 (1894), pp. 61–66. MR 1557292 JFM 25.0198.03 article

[11] :
“Concerning the definition by a system of functional properties of the function __\( f(z)=(\sin\pi z)/\pi \)__,”
Ann. of Math.
9 : 1–6
(1894–1895),
pp. 43–49.
MR
1502180
JFM
26.0470.04
article

[12] : “Concerning triple systems,” Red. Circ. Mat. Palermo 9 : 1 (1895), pp. 86. JFM 26.0181.05 article

[13] :
“On a theorem concerning __\( p \)__-rowed characteristics with denominator 2,”
Bull. Am. Math. Soc.
1 : 10
(1895),
pp. 252–255.
MR
1557392
JFM
26.0516.02
article

[14] : “A note on mean values,” Am. Math. Mon. 2 : 11 (1895), pp. 303–304. MR 1513931 article

[15] : “Concerning Jordan’s linear groups,” Bull. Am. Math. Soc. 2 : 2 (1895), pp. 33–43. MR 1557406 JFM 26.0173.02 article

[16] : “A doubly-infinite system of simple groups,” pp. 208–242 in Mathematical papers read at the international mathematical congress held in connection with the world’s Columbian exposition (Chicago, 1893). Edited by E. H. Moore, O. Bolza, H. Maschke, and H. S. White. Macmillan and Co. (New York), 1896. JFM 28.0147.01 incollection

[17] : “Concerning transcendentally transcendental functions,” Math. Ann. 48 : 1–2 (1896), pp. 49–74. MR 1510923 JFM 27.0307.01 article

[18] : “A two-fold generalization of Fermat’s theorem,” Bull. Am. Math. Soc. 2 : 7 (1896), pp. 189–199. MR 1557441 JFM 27.0139.05 article

[19]Mathematical papers read at the international mathematical congress held in connection with the world’s Columbian exposition, Chicago, 1893. Edited by E. H. Moore, O. Bolza, H. Maschke, and H. S. White. Macmillan, 1896. JFM 27.0027.04 book

[20] : “On an interesting system of quadratic equations,” Am. Math. Mon. 3 : 2 (1896), pp. 38–41. MR 1514009 article

[21] : “Tactical memoranda I–III,” Am. J. Math. 18 : 3 (1896), pp. 264–290. MR 1505714 JFM 27.0472.02 article

[22] : “Tactical memoranda I–III (continued),” Am. J. Math. 18 : 4 (1896), pp. 291–303. MR 1505717 article

[23] :
“Concerning the abstract groups of order __\( k! \)__ and __\( (1/2)k! \)__ holohedrically isomorphic with the symmetric and the alternating substitution-groups on __\( k \)__ letters,”
Proc. Lon. Math. Soc.
S1-28 : 1
(1897),
pp. 357–366.
MR
1576641
JFM
28.0121.03
article

[24] :
“The decomposition of modular systems of rank __\( n \)__ in __\( n \)__ variables,”
Bull. Am. Math. Soc.
3 : 10
(1897),
pp. 372–380.
MR
1557534
JFM
28.0087.03
article

[25] : “Concerning regular triple systems,” Bull. Am. Math. Soc. 4 : 1 (1897), pp. 11–16. MR 1557545 JFM 28.0127.02 article

[26] : “Concerning Abelian-regular transitive triple systems,” Math. Ann. 50 : 2–3 (1898), pp. 225–240. MR 1510993 JFM 29.0120.01 article

[27] : “An universal invariant for finite groups of linear substitutions: with application in the theory of the canonical form of a linear substitution of finite period,” Math. Ann. 50 : 2–3 (1898), pp. 213–219. MR 1510991 JFM 29.0114.04 article

[28] : “Abstract for ‘A two-parameter class of solvable quintics, in which the rational relations amongst the roots, by threes, do not contain the parameters’,” Bull. Am. Math. Soc. 4 (1898), pp. 364. Unpublished address.

[29] : “Concerning the general equations of the seventh and eighth degrees,” Math. Ann. 51 : 3 (1898), pp. 417–444. MR 1511033 JFM 29.0080.01 article

[30] : “The structure of certain linear groups with quadratic invariants,” Proc. London Math. Soc. 30 : 1 (1899), pp. 70–98. MR 1575479 JFM 30.0137.02 article

[31] : “Abstract for ‘On the subgroups of abelian groups’,” Bull. Am. Math. Soc. 5 (1899), pp. 382–383. Unpublished address.

[32] : “A fundamental remark concerning determinantal notations with the evaluation of an important determinant of special form,” Ann. of Math. (2) 1 : 1–4 (1899–1900), pp. 177–188. MR 1502269 JFM 31.0155.01 article

[33] :
“Concerning Klein’s group of __\( (n+1)! \)__ __\( n \)__-ary collineations,”
Am. J. Math.
22 : 4
(1900),
pp. 336–342.
MR
1507869
JFM
31.0146.02
article

[34] : “On certain crinkly curves,” Trans. Am. Math. Soc. 1 : 1 (1900), pp. 72–90. MR 1500526 JFM 31.0564.03 article

[35] : “The undergraduate curriculum,” Bull. Am. Math. Soc. 7 (1900), pp. 14–24. Report of a discussion at the seventh summer meeting of the American Mathematical Society, involving contributions from Profs. Moore, Harkness, Osgood, Morley and Young.

[36] : “Abstract for ‘On the generational determination of abstract groups’,” Bull. Am. Math. Soc. 6 (1900), pp. 379–380. Unpublished address.

[37] : “Errata: ‘On certain crinkly curves’,” Trans. Am. Math. Soc. 1 : 4 (1900), pp. 507. MR 1500428 article

[38] : “A simple proof of the fundamental Cauchy–Goursat theorem,” Trans. Am. Math. Soc. 1 : 4 (1900), pp. 499–506. MR 1500551 JFM 31.0398.02 article

[39] :
“The cross-ratio group of __\( n! \)__ Cremona transformations of order __\( n-3 \)__ in flat space of __\( n-3 \)__ dimensions,”
Am. J. Math.
22 : 3
(1900),
pp. 279–291.
MR
1505837
JFM
31.0655.01
article

[40] : “Concerning du Bois-Reymond’s two relative integrability theorems,” Ann. of Math. (2) 2 : 1–4 (1900–1901), pp. 153–158. MR 1503491 JFM 32.0392.02 article

[41] : “Errata: ‘A simple proof of the fundamental Cauchy–Goursat theorem’,” Trans. Am. Math. Soc. 2 : 4 (1901), pp. 486. MR 1500440 article

[42] : “Abstract for ‘On double limits’,” Bull. Am. Math. Soc. 7 (1901), pp. 257. Unpublished address.

[43] : “Abstract for ‘Concerning the second mean value theorem of the integral calculus’,” Bull. Am. Math. Soc. 8 (1901), pp. 19–20. Unpublished address.

[44] : “Abstract for ‘On the uniformity of continuity’,” Bull. Am. Math. Soc. 7 (1901), pp. 245. Unpublished address.

[45] : “Concerning Harnack’s theory of improper definite integrals,” Trans. Am. Math. Soc. 2 : 3 (1901), pp. 296–330. MR 1500570 JFM 32.0299.02 article

[46] : “Errata: ‘Concerning Harnack’s theory of improper definite integrals’,” Trans. Am. Math. Soc. 2 : 4 (1901), pp. 487. MR 1500446 article

[47] : “On the theory of improper definite integrals,” Trans. Am. Math. Soc. 2 : 4 (1901), pp. 459–475. MR 1500580 JFM 32.0300.01 article

[48] : “On the projective axioms of geometry,” Trans. Am. Math. Soc. 3 : 1 (1902), pp. 142–158. MR 1500592 JFM 33.0487.01 article

[49] : “A definition of abstract groups,” Trans. Am. Math. Soc. 3 : 4 (1902), pp. 485–492. MR 1500616 JFM 33.0142.01 article

[50] : “Errata: ‘On the projective axioms of geometry’,” Trans. Am. Math. Soc. 3 : 4 (1902), pp. 501. MR 1500457 article

[51] : “‘The betweenness assumptions’,” Am. Math. Mon. 9 : 6–7 (1902), pp. 152–153. MR 1515615 JFM 33.0488.03 article

[52] : “Abstract for ‘On Hilbert’s plane arguesian geometry’,” Bull. Am. Math. Soc. 8 (1902), pp. 202. Unpublished address.

[53] : “On the foundations of mathematics. Presidential address delivered before the American Mathematical Society at its ninth annual meeting, December 19, 1902,” Bull. Am. Math. Soc. 9 : 8 (1903), pp. 402–424. MR 1558011 JFM 34.0068.03 article

[54] : “The subgroups of the generalized finite modular group,” pp. 141–190 in The decennial publications of the University of Chicago. University of Chicago Press, 1903. JFM 34.0172.02 incollection

[55] : “On the foundations of mathematics. Presidential address delivered before the American Mathematical Society at its ninth annual meeting, December 19, 1902,” Science 17 : 428 (March 1903), pp. 401–416.

[56] : “Errata: ‘A definition of abstract groups’,” Trans. Am. Math. Soc. 5 : 4 (1904), pp. 549. MR 1500460 article

[57] : “On doubly infinite systems of directly similar convex arches with common base line,” Bull. Am. Math. Soc. 10 : 7 (1904), pp. 337–341. MR 1558119 JFM 35.0730.04 article

[58] : “On a definition of abstract groups,” Trans. Am. Math. Soc. 6 : 2 (1905), pp. 179–180. MR 1500704 JFM 36.0193.01 article

[59] : “The cross-section paper as a mathematical instrument,” Sch. Rev. 14 : 5 (May 1906), pp. 317–338.

[60] : “The cross-section paper as a mathematical instrument,” Sch. Sci. Math. 6 : 6 (1906), pp. 429–450.

[61] : “Abstract for ‘On the theory of systems of integral equations of the second kind’,” Bull. Am. Math. Soc. 12 (1906), pp. 280. Unpublished address.

[62] : “The decomposition of modular systems connected with the doubly generalized Fermat theorem,” Bull. Am. Math. Soc. 13 : 6 (1907), pp. 280–288. MR 1558462 JFM 38.0238.02 article

[63] : “Note on Fourier’s constants,” Bull. Am. Math. Soc. 13 : 5 (1907), pp. 232–234. MR 1558448 JFM 38.0307.01 article

[64] :
“Abstract for ‘Homogeneous distributive functional operations of degree __\( n \)__’,”
Bull. Am. Math. Soc.
13
(1907),
pp. 217–219.
Unpublished address.

[65] : “On a form of general analysis with application to linear differential and integral equations,” pp. 98–114 in Atti del IV Congresso Internazionale dei Matematici (Rome, 6–11 April 1908), vol. 2. Edited by G. Castelnuovo. 1909. JFM 40.0396.01 incollection

[66] : “Abstract for ‘The role of postulational methods in mathematics’,” Bull. Am. Math. Soc. 16 (1909), pp. 41. Unpublished address given at Clark University, 20th anniversary.

[67] : “Introduction to a form of general analysis,” pp. 1–150 in : The New Haven Mathematical Colloquium (New Haven, CT, 5–8 September 1906). Yale University Press (New Haven, CT), 1910. JFM 41.0376.01 incollection

[68] : “Theorems in general analysis,” pp. 387–388 in 79th Meeting of the British Association for the Advancement of Science (Winnipeg, MB, 25 August–1 September 1909). British Association (London), 1910. JFM 41.0494.02 incollection

[69] : “A generalization of the game called Nim,” Ann. of Math. (2) 11 : 3 (1910), pp. 93–94. MR 1502397 JFM 41.0263.02 article

[70] : “Abstract for ‘Multiplicative interrelations of certain classes of sequences of positive terms’,” Bull. Am. Math. Soc. 18 : 9 (1912), pp. 444–445. Unpublished address. JFM 43.0334.01 article

[71] : “On the foundations of the theory of linear integral equations,” Bull. Am. Math. Soc. 18 : 7 (1912), pp. 334–362. MR 1559219 JFM 43.0424.02 article

[72] : “Abstract for ‘On nowhere negative kernels’,” Bull. Am. Math. Soc. 19 : 6 (1913), pp. 287–288. Unpublished address. JFM 44.0420.08 article

[73] : “Abstract for ‘On a class of continuous functional operations associated with the class of continuous functions on a finite linear interval’,” Bull. Am. Math. Soc. 20 : 2 (1913), pp. 70–71. Unpublished address. JFM 44.0420.09 article

[74] :
“Abstract for ‘On the geometry of linear homogeneous transformations of __\( m \)__ variables’,”
Bull. Am. Math. Soc.
19 : 9
(1913),
pp. 457–458.
Unpublished address.
JFM
44.0755.04
article

[75] : “A mode of composition of positive quadratic forms,” pp. 413 in 82nd Meeting of the British Association for the Advancement of Science (Dundee, Scotland, September 1912). British Association (London), 1913. JFM 44.0248.11 incollection

[76] : “On the fundamental functional operation of a general theory of linear integral equations,” pp. 230–255 in Proceedings of the fifth International Mathematics Conference (Cambridge, UK, 22–28 August 1912), vol. 1. Edited by E. W. Hobson and A. E. H. Love. 1913. JFM 44.0405.03 incollection

[77] : “Definition of limit in general integral analysis,” Proc. Natl. Acad. Sci. USA 1 : 12 (December 1915), pp. 628–632. JFM 45.0426.03 article

[78] : “Abstract for ‘Report on integral equations in general analysis’,” Bull. Am. Math. Soc. 21 (1915), pp. 430. Unpublished address by chairman of AMS Chicago Section.

[79] : “Abstract for ‘On properly positive Hermitian matrices’,” Bull. Am. Math. Soc. 23 : 2 (1916), pp. 66–67. Unpublished address. JFM 46.0165.03 article

[80] : “Abstract for ‘On a definition of the concept: limit of a function’,” Bull. Am. Math. Soc. 22 : 9 (1916), pp. 439–440. Unpublished address. JFM 46.0364.03 article

[81] : “Abstract for ‘On the reciprocal of the general algebraic matrix’,” Bull. Am. Math. Soc. 26 (1920), pp. 394–395. Unpublished address.

[82] : “A general theory of limits,” Am. J. Math. 44 : 2 (1922), pp. 102–121. MR 1506463 JFM 48.1254.01 article

[83] : “On power series in general analysis,” Math. Ann. 86 : 1–2 (1922), pp. 30–39. MR 1512076 JFM 48.0488.02 article

[84] : “Abstract for ‘On the determinant of an Hermitian matrix of quaternionic elements’,” Bull. Am. Math. Soc. 28 : 4 (1922), pp. 161. Article unpublished. JFM 48.0128.07 article

[85] : “Abstract for ‘On the determinant of an Hermitian matrix with quaternionic elements: Definition and elementary properties with applications’,” Bull. Am. Math. Soc. 28 : 6 (1922), pp. 296. Article unpublished. JFM 48.1150.08 article

[86] : “Abstract for ‘What is a number system?’,” Bull. Am. Math. Soc. 29 (1923), pp. 91. Unpublished retiring president’s address to American Association for the Advancement of Science, Cambridge, MA, December 1922.

[87] : “Abstract for ‘Introduction to a theory of generalized Hellinger integrals’,” Bull. Am. Math. Soc. 32 (1926), pp. 224. Unpublished address.

[88] : “Eliakim Hastings Moore,” Science 77 : 1986 (January 1933), pp. 79–80. JFM 59.0854.08 article

[89] : General analysis, part 1. Edited by R. W. Barnard. Memoirs of the American Philosophical Society 1. American Philosophical Society (Philadelphia), 1935. JFM 61.0433.06 Zbl 0013.11605 book

[90] : “Eliakim Hastings Moore: 1862–1932,” Biographical Memoirs of the National Academy of Sciences 17 (1937), pp. 83–102. article

[91] : General analysis, part 2: The fundamental notions of general analysis. Edited by R. W. Barnard. Memoirs of the American Philosophical Society 1. American Philosophical Society (Philadelphia), 1939. JFM 65.0497.05 Zbl 0020.36601 book

[92] : “Classes of sequences of positive numbers,” Bull. Am. Math. Soc. 52 (1946), pp. 192–219. Prepared for publication by H. H. Goldstine and T. H. Hildebrandt. MR 0015515 Zbl 0060.15403 article