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[1] E. H. Moore :
“Extensions of certain theorems of Clifford and Cayley in the geometry of \( n \) dimensions ,”
Trans. Conn. Acad. Arts Sci.
7
(1885 ),
pp. 1–18 .
BibTeX
@article {key35492035,
AUTHOR = {Moore, Eliakim Hastings},
TITLE = {Extensions of certain theorems of {C}lifford
and {C}ayley in the geometry of \$n\$
dimensions},
JOURNAL = {Trans. Conn. Acad. Arts Sci.},
FJOURNAL = {Transactions of the Connecticut Academy
of Arts and Sciences},
VOLUME = {7},
YEAR = {1885},
PAGES = {1--18},
}
[2] E. H. Moore :
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
People
BibTeX
@phdthesis {key2936718m,
AUTHOR = {Moore, Eliakim Hastings},
TITLE = {Extensions of certain theorems of {C}lifford
and {C}ayley in the geometry of \$n\$
dimensions},
SCHOOL = {Yale University},
YEAR = {1885},
URL = {http://search.proquest.com/docview/301691342},
NOTE = {Advised by H. A. Newton.
MR:2936718.},
}
[3] E. H. Moore, Jr. and C. N. Little, Jr. :
“Note on space divisions ,”
Am. J. Math.
8 : 2
(February 1886 ),
pp. 127–131 .
MR
1505415
JFM
18.0576.01
article
People
BibTeX
@article {key1505415m,
AUTHOR = {Moore, Jr., E. H. and Little, Jr., C.
N.},
TITLE = {Note on space divisions},
JOURNAL = {Am. J. Math.},
FJOURNAL = {American Journal of Mathematics},
VOLUME = {8},
NUMBER = {2},
MONTH = {February},
YEAR = {1886},
PAGES = {127--131},
DOI = {10.2307/2369294},
NOTE = {MR:1505415. JFM:18.0576.01.},
ISSN = {0002-9327},
CODEN = {AJMAAN},
}
[4] E. H. Moore, Jr. :
“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
BibTeX
@article {key1505461m,
AUTHOR = {Moore, Jr., Eliakim H.},
TITLE = {Algebraic surfaces of which every plane-section
is unicursal in the light of \$n\$-dimensional
geometry},
JOURNAL = {Am. J. Math.},
FJOURNAL = {American Journal of Mathematics},
VOLUME = {10},
NUMBER = {1},
MONTH = {October},
YEAR = {1887},
PAGES = {17--28},
DOI = {10.2307/2369399},
NOTE = {MR:1505461. JFM:19.0787.02.},
ISSN = {0002-9327},
CODEN = {AJMAAN},
}
[5] E. H. Moore, Jr. :
“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
BibTeX
@article {key1505481m,
AUTHOR = {Moore, Jr., Eliakim H.},
TITLE = {A problem suggested in the geometry
of nets of curves and applied to the
theory of six points having multiply
perspective relations},
JOURNAL = {Am. J. Math.},
FJOURNAL = {American Journal of Mathematics},
VOLUME = {10},
NUMBER = {3},
YEAR = {1888},
PAGES = {243--257},
DOI = {10.2307/2369340},
NOTE = {MR:1505481. JFM:20.0609.01.},
ISSN = {0002-9327},
CODEN = {AJMAAN},
}
[6] E. H. Moore :
“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
People
BibTeX
@article {key22.0448.01j,
AUTHOR = {Moore, E. H.},
TITLE = {Note concerning a fundamental theorem
of elliptic functions, as treated in
{H}alphen's {T}rait\'e, {V}ol.~{I},
pages 39--41},
JOURNAL = {Red. Circ. Mat. Palermo},
FJOURNAL = {Rendiconti del Circolo Matematico di
Palermo},
VOLUME = {4},
YEAR = {1890},
PAGES = {186--194},
DOI = {10.1007/BF03011651},
NOTE = {JFM:22.0448.01.},
ISSN = {1973-4409},
}
[7] E. H. Moore :
“Concerning a congruence group of order 360 contained in the group of linear fractional substitutions ,”
Proc. Am. Assoc. Adv. Sci.
41
(1892 ),
pp. 62 .
BibTeX
@article {key68261428,
AUTHOR = {Moore, E. H.},
TITLE = {Concerning a congruence group of order
360 contained in the group of linear
fractional substitutions},
JOURNAL = {Proc. Am. Assoc. Adv. Sci.},
FJOURNAL = {Proceedings of the American Association
for the Advancement of Science},
VOLUME = {41},
YEAR = {1892},
PAGES = {62},
ISSN = {1064-9212},
}
[8] E. H. Moore :
“Concerning triple systems ,”
Math. Ann.
43 : 2–3
(1893 ),
pp. 271–285 .
MR
1510812
JFM
25.0198.02
article
BibTeX
@article {key1510812m,
AUTHOR = {Moore, E. Hastings},
TITLE = {Concerning triple systems},
JOURNAL = {Math. Ann.},
FJOURNAL = {Mathematische Annalen},
VOLUME = {43},
NUMBER = {2--3},
YEAR = {1893},
PAGES = {271--285},
DOI = {10.1007/BF01443649},
NOTE = {MR:1510812. JFM:25.0198.02.},
ISSN = {0025-5831},
CODEN = {MAANA},
}
[9] E. H. Moore :
“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
BibTeX
@article {key1557275m,
AUTHOR = {Moore, E. Hastings},
TITLE = {Abstract for ``A doubly-infinite system
of simple groups''},
JOURNAL = {New York M. S. Bull. III},
FJOURNAL = {Bulletin of the New York Mathematical
Society, III},
VOLUME = {3},
NUMBER = {3},
YEAR = {1893},
PAGES = {73--78},
DOI = {10.1090/S0002-9904-1893-00178-X},
NOTE = {Abstract only; published in Chicago
Congress, Mathematical papers (1896),
pp. 208--242. MR:1557275. JFM:25.0198.01.},
ISSN = {0002-9904},
}
[10] E. H. Moore :
“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
BibTeX
@article {key1557292m,
AUTHOR = {Moore, E. Hastings},
TITLE = {The group of holoedric transformation
into itself of a given group},
JOURNAL = {Bull. Am. Math. Soc.},
FJOURNAL = {Bulletin of the American Mathematical
Society},
VOLUME = {1},
NUMBER = {3},
YEAR = {1894},
PAGES = {61--66},
DOI = {10.1090/S0002-9904-1894-00244-4},
NOTE = {MR:1557292. JFM:25.0198.03.},
ISSN = {0002-9904},
}
[11] E. H. Moore :
“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
BibTeX
@article {key1502180m,
AUTHOR = {Moore, E. Hastings},
TITLE = {Concerning the definition by a system
of functional properties of the function
\$f(z)=(\sin\pi z)/\pi\$},
JOURNAL = {Ann. of Math.},
FJOURNAL = {Annals of Mathematics},
VOLUME = {9},
NUMBER = {1--6},
YEAR = {1894--1895},
PAGES = {43--49},
DOI = {10.2307/1967504},
NOTE = {MR:1502180. JFM:26.0470.04.},
ISSN = {0003-486X},
}
[12] E. H. Moore :
“Concerning triple systems ,”
Red. Circ. Mat. Palermo
9 : 1
(1895 ),
pp. 86 .
JFM
26.0181.05
article
BibTeX
@article {key26.0181.05j,
AUTHOR = {Moore, E. Hastings},
TITLE = {Concerning triple systems},
JOURNAL = {Red. Circ. Mat. Palermo},
FJOURNAL = {Rendiconti del Circolo Matematico di
Palermo},
VOLUME = {9},
NUMBER = {1},
YEAR = {1895},
PAGES = {86},
DOI = {10.1007/BF03012851},
NOTE = {JFM:26.0181.05.},
ISSN = {1973-4409},
}
[13] E. H. Moore :
“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
BibTeX
@article {key1557392m,
AUTHOR = {Moore, E. Hastings},
TITLE = {On a theorem concerning \$p\$-rowed characteristics
with denominator 2},
JOURNAL = {Bull. Am. Math. Soc.},
FJOURNAL = {Bulletin of the American Mathematical
Society},
VOLUME = {1},
NUMBER = {10},
YEAR = {1895},
PAGES = {252--255},
DOI = {10.1090/S0002-9904-1895-00286-4},
NOTE = {MR:1557392. JFM:26.0516.02.},
ISSN = {0002-9904},
}
[14] E. H. Moore :
“A note on mean values ,”
Am. Math. Mon.
2 : 11
(1895 ),
pp. 303–304 .
MR
1513931
article
BibTeX
@article {key1513931m,
AUTHOR = {Moore, E. H.},
TITLE = {A note on mean values},
JOURNAL = {Am. Math. Mon.},
FJOURNAL = {The American Mathematical Monthly},
VOLUME = {2},
NUMBER = {11},
YEAR = {1895},
PAGES = {303--304},
DOI = {10.2307/2971538},
NOTE = {MR:1513931.},
ISSN = {0002-9890},
}
[15] E. H. Moore :
“Concerning Jordan’s linear groups ,”
Bull. Am. Math. Soc.
2 : 2
(1895 ),
pp. 33–43 .
MR
1557406
JFM
26.0173.02
article
Abstract
BibTeX
I present to the American Mathematical Society to-day a continuation of the paper [1894] presented last November, entitled The group of holoedric transformation into itself of a given group . To recall briefly: The given (abstract) group \( G_n \) of order \( n \) has the elements \( s_1 = \) identity, \( s_2,\dots,s_n \) . The substitution-group \( \Gamma^n \) of transformation of \( G_n \) into itself is the substitution-group of the \( n \) letters \( s_1,\dots,s_n \) which leaves invariant the multiplication-table for \( G_n \) . Letters \( s \) which are conjugate with one another under \( \Gamma^n \) must as elements of \( G_n \) have the same period. Thus, \( s_1= \) identity is invariant, and \( \Gamma^n \) is really \( \Gamma^{n-1} \) on the \( n-1 \) letters \( s_2,\dots,s_n \) .
We are to consider to-day the case that \( \Gamma^{n-1} \) is transitive on the \( n-1 \) letters \( s_2,\dots,s_n \) . Then the \( n-1 \) elements \( s_2,\dots,s_n \) of \( G_n \) have the \( \textit{same} \) period, which must then be a prime \( p \) . Hence \( G_n \) has the order \( n=p^{n^{\prime}} \) . Every group \( G_{n=p^{n^{\prime}}} \) has, in accordance with an important (Sylow’s) theorem [1872], at least one element different from identity commutative with every element of the group. This property of the element may be read out of the multiplication-table for \( G_{n=p^{n^{\prime}}} \) , and is hence invariant under \( \Gamma^{n-1} \) . But \( \Gamma^{n-1} \) is transitive on the \( n-1 \) letters \( s_2,\dots,s_n \) . Hence every element of \( G_{n=p^{n^{\prime}}} \) is commutative with every other element. Our given group \( G_n \) is then the Abelian \( G_{p^{n^{\prime}}} \) , or rather, omitting the \( ^{\prime} \) , \( G_{p^n} \) with \( n \) generating elements, each of order \( p \) , and commutative with one another .
@article {key1557406m,
AUTHOR = {Moore, Eliakim Hastings},
TITLE = {Concerning {J}ordan's linear groups},
JOURNAL = {Bull. Am. Math. Soc.},
FJOURNAL = {Bulletin of the American Mathematical
Society},
VOLUME = {2},
NUMBER = {2},
YEAR = {1895},
PAGES = {33--43},
DOI = {10.1090/S0002-9904-1895-00305-5},
NOTE = {MR:1557406. JFM:26.0173.02.},
ISSN = {0002-9904},
}
[16] E. H. Moore :
“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
People
BibTeX
@incollection {key28.0147.01j,
AUTHOR = {Moore, E. Hastings},
TITLE = {A doubly-infinite system of simple groups},
BOOKTITLE = {Mathematical papers read at the international
mathematical congress held in connection
with the world's {C}olumbian exposition},
EDITOR = {Moore, Eliakim Hastings and Bolza, Oskar
and Maschke, Heinrich and White, Henry
S.},
PUBLISHER = {Macmillan and Co.},
ADDRESS = {New York},
YEAR = {1896},
PAGES = {208--242},
URL = {http://ada00.math.uni-bielefeld.de/ICM/ICM1893/Main/icm1893.0208.0242.ocr.pdf},
NOTE = {(Chicago, 1893). JFM:28.0147.01.},
}
[17] E. H. Moore :
“Concerning transcendentally transcendental functions ,”
Math. Ann.
48 : 1–2
(1896 ),
pp. 49–74 .
MR
1510923
JFM
27.0307.01
article
Abstract
BibTeX
@article {key1510923m,
AUTHOR = {Moore, Eliakim Hastings},
TITLE = {Concerning transcendentally transcendental
functions},
JOURNAL = {Math. Ann.},
FJOURNAL = {Mathematische Annalen},
VOLUME = {48},
NUMBER = {1--2},
YEAR = {1896},
PAGES = {49--74},
DOI = {10.1007/BF01446334},
NOTE = {MR:1510923. JFM:27.0307.01.},
ISSN = {0025-5831},
CODEN = {MAANA},
}
[18] E. H. Moore :
“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
BibTeX
@article {key1557441m,
AUTHOR = {Moore, Eliakim Hastings},
TITLE = {A two-fold generalization of {F}ermat's
theorem},
JOURNAL = {Bull. Am. Math. Soc.},
FJOURNAL = {Bulletin of the American Mathematical
Society},
VOLUME = {2},
NUMBER = {7},
YEAR = {1896},
PAGES = {189--199},
DOI = {10.1090/S0002-9904-1896-00337-2},
NOTE = {MR:1557441. JFM:27.0139.05.},
ISSN = {0002-9904},
}
[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
People
BibTeX
@book {key27.0027.04j,
TITLE = {Mathematical papers read at the international
mathematical congress held in connection
with the world's {C}olumbian exposition,
{C}hicago, 1893},
EDITOR = {Moore, E. H. and Bolza, O. and Maschke,
H. and White, H. S.},
PUBLISHER = {Macmillan},
YEAR = {1896},
PAGES = {xvi+411},
NOTE = {JFM:27.0027.04.},
}
[20] E. H. Moore and E. C. Ackermann :
“On an interesting system of quadratic equations ,”
Am. Math. Mon.
3 : 2
(1896 ),
pp. 38–41 .
MR
1514009
article
People
BibTeX
@article {key1514009m,
AUTHOR = {Moore, E. H. and Ackermann, Emma C.},
TITLE = {On an interesting system of quadratic
equations},
JOURNAL = {Am. Math. Mon.},
FJOURNAL = {The American Mathematical Monthly},
VOLUME = {3},
NUMBER = {2},
YEAR = {1896},
PAGES = {38--41},
DOI = {10.2307/2968282},
NOTE = {MR:1514009.},
ISSN = {0002-9890},
}
[21] E. H. Moore :
“Tactical memoranda I–III ,”
Am. J. Math.
18 : 3
(1896 ),
pp. 264–290 .
MR
1505714
JFM
27.0472.02
article
Abstract
BibTeX
Cayley [1864] has divided Algebra into Tactic and Logistic. A tactical entity of a finite number (\( m \) ) of letters \( a_1,\dots,a_m \) I call an arrangement of degree \( m \) . Every arrangement of degree \( m \) determines a substitution-group of the \( m \) letters \( G^m \) under which it is invariant. Two arrangements of the same degree which differ only by the notation of their letters belong to the same class of arrangments.
Under the general heading Tactical Memoranda I shall publish a series of paper on certain more or less closely connected topics of Tactic.
@article {key1505714m,
AUTHOR = {Moore, Eliakim Hastings},
TITLE = {Tactical memoranda {I}--{III}},
JOURNAL = {Am. J. Math.},
FJOURNAL = {American Journal of Mathematics},
VOLUME = {18},
NUMBER = {3},
YEAR = {1896},
PAGES = {264--290},
DOI = {10.2307/2369797},
NOTE = {MR:1505714. JFM:27.0472.02.},
ISSN = {0002-9327},
CODEN = {AJMAAN},
}
[22] E. H. Moore :
“Tactical memoranda I–III (continued) ,”
Am. J. Math.
18 : 4
(1896 ),
pp. 291–303 .
MR
1505717
article
BibTeX
@article {key1505717m,
AUTHOR = {Moore, Eliakim Hastings},
TITLE = {Tactical memoranda {I}--{III} (continued)},
JOURNAL = {Am. J. Math.},
FJOURNAL = {American Journal of Mathematics},
VOLUME = {18},
NUMBER = {4},
YEAR = {1896},
PAGES = {291--303},
DOI = {10.2307/2369860},
NOTE = {MR:1505717.},
ISSN = {0002-9327},
CODEN = {AJMAAN},
}
[23] E. H. Moore :
“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
BibTeX
@article {key1576641m,
AUTHOR = {Moore, Eliakim Hastings},
TITLE = {Concerning the abstract groups of order
\$k!\$ and \$(1/2)k!\$ holohedrically isomorphic
with the symmetric and the alternating
substitution-groups on \$k\$ letters},
JOURNAL = {Proc. Lon. Math. Soc.},
FJOURNAL = {Proceedings of the London Mathematical
Society},
VOLUME = {S1-28},
NUMBER = {1},
YEAR = {1897},
PAGES = {357--366},
DOI = {10.1112/plms/s1-28.1.357},
NOTE = {MR:1576641. JFM:28.0121.03.},
ISSN = {0024-6115},
}
[24] E. H. Moore :
“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
BibTeX
@article {key1557534m,
AUTHOR = {Moore, Eliakim Hastings},
TITLE = {The decomposition of modular systems
of rank \$n\$ in \$n\$ variables},
JOURNAL = {Bull. Am. Math. Soc.},
FJOURNAL = {Bulletin of the American Mathematical
Society},
VOLUME = {3},
NUMBER = {10},
YEAR = {1897},
PAGES = {372--380},
DOI = {10.1090/S0002-9904-1897-00426-8},
NOTE = {MR:1557534. JFM:28.0087.03.},
ISSN = {0002-9904},
}
[25] E. H. Moore :
“Concerning regular triple systems ,”
Bull. Am. Math. Soc.
4 : 1
(1897 ),
pp. 11–16 .
MR
1557545
JFM
28.0127.02
article
BibTeX
@article {key1557545m,
AUTHOR = {Moore, Eliakim Hastings},
TITLE = {Concerning regular triple systems},
JOURNAL = {Bull. Am. Math. Soc.},
FJOURNAL = {Bulletin of the American Mathematical
Society},
VOLUME = {4},
NUMBER = {1},
YEAR = {1897},
PAGES = {11--16},
DOI = {10.1090/S0002-9904-1897-00446-3},
NOTE = {MR:1557545. JFM:28.0127.02.},
ISSN = {0002-9904},
}
[26] E. H. Moore :
“Concerning Abelian-regular transitive triple systems ,”
Math. Ann.
50 : 2–3
(1898 ),
pp. 225–240 .
MR
1510993
JFM
29.0120.01
article
BibTeX
@article {key1510993m,
AUTHOR = {Moore, Eliakim Hastings},
TITLE = {Concerning {A}belian-regular transitive
triple systems},
JOURNAL = {Math. Ann.},
FJOURNAL = {Mathematische Annalen},
VOLUME = {50},
NUMBER = {2-3},
YEAR = {1898},
PAGES = {225--240},
DOI = {10.1007/BF01448064},
NOTE = {MR:1510993. JFM:29.0120.01.},
ISSN = {0025-5831},
CODEN = {MAANA},
}
[27] E. H. Moore :
“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
Abstract
BibTeX
A finite group of \( n \) -ary linear homogeneous substitutions leaves absolutely invariant an \( n \) -ary positive Hermitian form. By proper linear linear transformation of the group this invariant form is
\[ x_1\overline{x}_1 + x_2\overline{x}_2 + \cdots + x_n\overline{x}_n. \]
With every finite group of \( n \) -ary linear substitutions is associated an holoedrically isomorphic group of real \( 2n \) -ary linear orthogonal substitutions.
@article {key1510991m,
AUTHOR = {Moore, Eliakim Hastings},
TITLE = {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},
JOURNAL = {Math. Ann.},
FJOURNAL = {Mathematische Annalen},
VOLUME = {50},
NUMBER = {2--3},
YEAR = {1898},
PAGES = {213--219},
DOI = {10.1007/BF01448062},
NOTE = {MR:1510991. JFM:29.0114.04.},
ISSN = {0025-5831},
CODEN = {MAANA},
}
[28] E. H. Moore :
“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.
BibTeX
@article {key15799375,
AUTHOR = {Moore, E. H.},
TITLE = {Abstract for ``{A} two-parameter class
of solvable quintics, in which the rational
relations amongst the roots, by threes,
do not contain the parameters''},
JOURNAL = {Bull. Am. Math. Soc.},
FJOURNAL = {Bulletin of the American Mathematical
Society},
VOLUME = {4},
YEAR = {1898},
PAGES = {364},
NOTE = {Unpublished address. Available at
http://www.ams.org/journals/bull/1898-04-08/S0002-9904-1898-00507-4/S0002-9904-1898-00507-4.pdf.},
ISSN = {0002-9904},
}
[29] E. H. Moore :
“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
BibTeX
@article {key1511033m,
AUTHOR = {Moore, Eliakim Hastings},
TITLE = {Concerning the general equations of
the seventh and eighth degrees},
JOURNAL = {Math. Ann.},
FJOURNAL = {Mathematische Annalen},
VOLUME = {51},
NUMBER = {3},
YEAR = {1898},
PAGES = {417--444},
DOI = {10.1007/BF01446471},
NOTE = {MR:1511033. JFM:29.0080.01.},
ISSN = {0025-5831},
CODEN = {MAANA},
}
[30] L. E. Dickson :
“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
People
BibTeX
@article {key1575479m,
AUTHOR = {Dickson, L. E.},
TITLE = {The structure of certain linear groups
with quadratic invariants},
JOURNAL = {Proc. London Math. Soc.},
FJOURNAL = {Proceedings of the London Mathematical
Society},
VOLUME = {30},
NUMBER = {1},
YEAR = {1899},
PAGES = {70--98},
DOI = {10.1112/plms/s1-30.1.70},
NOTE = {MR:1575479. JFM:30.0137.02.},
ISSN = {0024-6115},
}
[31] E. H. Moore :
“Abstract for ‘On the subgroups of abelian groups’ ,”
Bull. Am. Math. Soc.
5
(1899 ),
pp. 382–383 .
Unpublished address.
BibTeX
@article {key80553298,
AUTHOR = {Moore, E. H.},
TITLE = {Abstract for ``{O}n the subgroups of
abelian groups''},
JOURNAL = {Bull. Am. Math. Soc.},
FJOURNAL = {Bulletin of the American Mathematical
Society},
VOLUME = {5},
YEAR = {1899},
PAGES = {382--383},
NOTE = {Unpublished address. Available at
http://www.ams.org/journals/bull/1899-05-08/S0002-9904-1899-00614-1/S0002-9904-1899-00614-1.pdf.},
ISSN = {0002-9904},
}
[32] E. H. Moore :
“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
BibTeX
@article {key1502269m,
AUTHOR = {Moore, Eliakim Hastings},
TITLE = {A fundamental remark concerning determinantal
notations with the evaluation of an
important determinant of special form},
JOURNAL = {Ann. of Math. (2)},
FJOURNAL = {Annals of Mathematics. Second Series},
VOLUME = {1},
NUMBER = {1-4},
YEAR = {1899--1900},
PAGES = {177--188},
DOI = {10.2307/1967285},
NOTE = {MR:1502269. JFM:31.0155.01.},
ISSN = {0003-486X},
}
[33] E. H. Moore :
“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
BibTeX
@article {key1507869m,
AUTHOR = {Moore, Eliakim Hastings},
TITLE = {Concerning {K}lein's group of \$(n+1)!\$
\$n\$-ary collineations},
JOURNAL = {Am. J. Math.},
FJOURNAL = {American Journal of Mathematics},
VOLUME = {22},
NUMBER = {4},
YEAR = {1900},
PAGES = {336--342},
DOI = {10.2307/2369729},
NOTE = {MR:1507869. JFM:31.0146.02.},
ISSN = {0002-9327},
CODEN = {AJMAAN},
}
[34] E. H. Moore :
“On certain crinkly curves ,”
Trans. Am. Math. Soc.
1 : 1
(1900 ),
pp. 72–90 .
MR
1500526
JFM
31.0564.03
article
Abstract
BibTeX
In this paper we are to investigate by interplaying graphic and analytic methods (in I) the continuous surface-filling \( xy \) -curves: \( x = \phi(t) \) , \( y = \psi(t) \) : of Peano and Hilbert and (in II) the continuous tangentless \( yt \) -curve: \( y = \psi(t) \) : connected with Peano’s curve.
@article {key1500526m,
AUTHOR = {Moore, Eliakim Hastings},
TITLE = {On certain crinkly curves},
JOURNAL = {Trans. Am. Math. Soc.},
FJOURNAL = {Transactions of the American Mathematical
Society},
VOLUME = {1},
NUMBER = {1},
YEAR = {1900},
PAGES = {72--90},
DOI = {10.2307/1986405},
NOTE = {MR:1500526. JFM:31.0564.03.},
ISSN = {0002-9947},
CODEN = {TAMTAM},
}
[35] W. H. Maltbie :
“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.
People
BibTeX
@article {key38368815,
AUTHOR = {Maltbie, W. H.},
TITLE = {The undergraduate curriculum},
JOURNAL = {Bull. Am. Math. Soc.},
FJOURNAL = {Bulletin of the American Mathematical
Society},
VOLUME = {7},
YEAR = {1900},
PAGES = {14--24},
NOTE = {Report of a discussion at the seventh
summer meeting of the {A}merican {M}athematical
{S}ociety, involving contributions from
{P}rofs.~{M}oore, {H}arkness, {O}sgood,
{M}orley and {Y}oung. Available at
http://www.ams.org/journals/bull/1900-07-01/S0002-9904-1900-00761-0/S0002-9904-1900-00761-0.pdf.},
ISSN = {0002-9904},
}
[36] E. H. Moore :
“Abstract for ‘On the generational determination of abstract groups’ ,”
Bull. Am. Math. Soc.
6
(1900 ),
pp. 379–380 .
Unpublished address.
BibTeX
@article {key88557666,
AUTHOR = {Moore, E. H.},
TITLE = {Abstract for ``{O}n the generational
determination of abstract groups''},
JOURNAL = {Bull. Am. Math. Soc.},
FJOURNAL = {Bulletin of the American Mathematical
Society},
VOLUME = {6},
YEAR = {1900},
PAGES = {379--380},
NOTE = {Unpublished address. Available at
http://www.ams.org/journals/bull/1900-06-09/S0002-9904-1900-00731-2/S0002-9904-1900-00731-2.pdf.},
ISSN = {0002-9904},
}
[37] E. H. Moore :
“Errata: ‘On certain crinkly curves’ ,”
Trans. Am. Math. Soc.
1 : 4
(1900 ),
pp. 507 .
MR
1500428
article
BibTeX
@article {key1500428m,
AUTHOR = {Moore, Eliakim Hastings},
TITLE = {Errata: ``{O}n certain crinkly curves''},
JOURNAL = {Trans. Am. Math. Soc.},
FJOURNAL = {Transactions of the American Mathematical
Society},
VOLUME = {1},
NUMBER = {4},
YEAR = {1900},
PAGES = {507},
DOI = {10.2307/1986368},
NOTE = {MR:1500428.},
ISSN = {0002-9947},
CODEN = {TAMTAM},
}
[38] E. H. Moore :
“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
Abstract
BibTeX
Goursat in two memoirs (Acta Mathematica , vol. 4, 1884; Transactions of the American Mathematical Society , vol. 1, 1900) has proved Cauchy’s integral theorem:
\[ \int_C f(z)\,dz = 0 \]
without the assumption of the continuity of the derivative \( f^{\prime}(z) \) on the closed region \( P \) bounded by the curve of integration \( C \) , and thereby he has laid deeper foundations for the Cauchy–Riemann theory of functions of the complex variable.
@article {key1500551m,
AUTHOR = {Moore, Eliakim Hastings},
TITLE = {A simple proof of the fundamental {C}auchy--{G}oursat
theorem},
JOURNAL = {Trans. Am. Math. Soc.},
FJOURNAL = {Transactions of the American Mathematical
Society},
VOLUME = {1},
NUMBER = {4},
YEAR = {1900},
PAGES = {499--506},
DOI = {10.2307/1986368},
NOTE = {MR:1500551. JFM:31.0398.02.},
ISSN = {0002-9947},
CODEN = {TAMTAM},
}
[39] E. H. Moore :
“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
Abstract
BibTeX
The binary \( n \) -ic form has as an absolute irrational invariant the cross-ratio of any four of its roots. These cross-ratios are expressible rationally in terms of any \( n-3 \) independent ones. If any particular system of \( n-3 \) independent ratios be associated with a particular order of the \( n \) roots, by varying the order of the \( n \) roots, we shall have in all \( n! \) conjugate systems; these systems are expressible rationally in terms of the original system, and exactly so in terms of any system of the set. Hence arises, to speak geometrically, a group of \( n! \) Cremona transformations in flat space of \( n-3 \) dimensions. The various Cremona groups so obtained from the various initial systems are Cremona transformations of one another. In this paper I study more closely one of the simplest of such Cremona groups.
@article {key1505837m,
AUTHOR = {Moore, Eliakim Hastings},
TITLE = {The cross-ratio group of \$n!\$ {C}remona
transformations of order \$n-3\$ in flat
space of \$n-3\$ dimensions},
JOURNAL = {Am. J. Math.},
FJOURNAL = {American Journal of Mathematics},
VOLUME = {22},
NUMBER = {3},
YEAR = {1900},
PAGES = {279--291},
DOI = {10.2307/2369857},
NOTE = {MR:1505837. JFM:31.0655.01.},
ISSN = {0002-9327},
CODEN = {AJMAAN},
}
[40] E. H. Moore :
“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
Abstract
BibTeX
@article {key1503491m,
AUTHOR = {Moore, Eliakim Hastings},
TITLE = {Concerning du {B}ois-{R}eymond's two
relative integrability theorems},
JOURNAL = {Ann. of Math. (2)},
FJOURNAL = {Annals of Mathematics. Second Series},
VOLUME = {2},
NUMBER = {1--4},
YEAR = {1900--1901},
PAGES = {153--158},
DOI = {10.2307/2007195},
NOTE = {MR:1503491. JFM:32.0392.02.},
ISSN = {0003-486X},
}
[41] E. H. Moore :
“Errata: ‘A simple proof of the fundamental Cauchy–Goursat theorem’ ,”
Trans. Am. Math. Soc.
2 : 4
(1901 ),
pp. 486 .
MR
1500440
article
BibTeX
@article {key1500440m,
AUTHOR = {Moore, Eliakim Hastings},
TITLE = {Errata: ``{A} simple proof of the fundamental
{C}auchy--{G}oursat theorem''},
JOURNAL = {Trans. Am. Math. Soc.},
FJOURNAL = {Transactions of the American Mathematical
Society},
VOLUME = {2},
NUMBER = {4},
YEAR = {1901},
PAGES = {486},
DOI = {10.2307/1986258},
NOTE = {MR:1500440.},
ISSN = {0002-9947},
CODEN = {TAMTAM},
}
[42] E. H. Moore :
“Abstract for ‘On double limits’ ,”
Bull. Am. Math. Soc.
7
(1901 ),
pp. 257 .
Unpublished address.
BibTeX
@article {key19565056,
AUTHOR = {Moore, E. H.},
TITLE = {Abstract for ``{O}n double limits''},
JOURNAL = {Bull. Am. Math. Soc.},
FJOURNAL = {Bulletin of the American Mathematical
Society},
VOLUME = {7},
YEAR = {1901},
PAGES = {257},
NOTE = {Unpublished address. Available at
http://www.ams.org/journals/bull/1901-07-06/S0002-9904-1901-00792-6/S0002-9904-1901-00792-6.pdf.},
ISSN = {0002-9904},
}
[43] E. H. Moore :
“Abstract for ‘Concerning the second mean value theorem of the integral calculus’ ,”
Bull. Am. Math. Soc.
8
(1901 ),
pp. 19–20 .
Unpublished address.
BibTeX
@article {key81417944,
AUTHOR = {Moore, E. H.},
TITLE = {Abstract for ``{C}oncerning the second
mean value theorem of the integral calculus''},
JOURNAL = {Bull. Am. Math. Soc.},
FJOURNAL = {Bulletin of the American Mathematical
Society},
VOLUME = {8},
YEAR = {1901},
PAGES = {19--20},
NOTE = {Unpublished address. Available at
http://www.ams.org/journals/bull/1901-08-01/S0002-9904-1901-00847-6/S0002-9904-1901-00847-6.pdf.},
ISSN = {0002-9904},
}
[44] E. H. Moore :
“Abstract for ‘On the uniformity of continuity’ ,”
Bull. Am. Math. Soc.
7
(1901 ),
pp. 245 .
Unpublished address.
BibTeX
@article {key16696026,
AUTHOR = {Moore, E. H.},
TITLE = {Abstract for ``{O}n the uniformity of
continuity''},
JOURNAL = {Bull. Am. Math. Soc.},
FJOURNAL = {Bulletin of the American Mathematical
Society},
VOLUME = {7},
YEAR = {1901},
PAGES = {245},
NOTE = {Unpublished address. Available at
http://www.ams.org/journals/bull/1901-07-06/S0002-9904-1901-00792-6/S0002-9904-1901-00792-6.pdf.},
ISSN = {0002-9904},
}
[45] E. H. Moore :
“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
BibTeX
@article {key1500570m,
AUTHOR = {Moore, Eliakim Hastings},
TITLE = {Concerning {H}arnack's theory of improper
definite integrals},
JOURNAL = {Trans. Am. Math. Soc.},
FJOURNAL = {Transactions of the American Mathematical
Society},
VOLUME = {2},
NUMBER = {3},
YEAR = {1901},
PAGES = {296--330},
DOI = {10.2307/1986211},
NOTE = {MR:1500570. JFM:32.0299.02.},
ISSN = {0002-9947},
CODEN = {TAMTAM},
}
[46] E. H. Moore :
“Errata: ‘Concerning Harnack’s theory of improper definite integrals’ ,”
Trans. Am. Math. Soc.
2 : 4
(1901 ),
pp. 487 .
MR
1500446
article
BibTeX
@article {key1500446m,
AUTHOR = {Moore, Eliakim Hastings},
TITLE = {Errata: ``{C}oncerning {H}arnack's theory
of improper definite integrals''},
JOURNAL = {Trans. Am. Math. Soc.},
FJOURNAL = {Transactions of the American Mathematical
Society},
VOLUME = {2},
NUMBER = {4},
YEAR = {1901},
PAGES = {487},
DOI = {10.2307/1986258},
NOTE = {MR:1500446.},
ISSN = {0002-9947},
CODEN = {TAMTAM},
}
[47] E. H. Moore :
“On the theory of improper definite integrals ,”
Trans. Am. Math. Soc.
2 : 4
(1901 ),
pp. 459–475 .
MR
1500580
JFM
32.0300.01
article
Abstract
BibTeX
In this paper I wish to define a system of types of improper simple definite integrals, a system embracing in particular the four current types; of the theory of the general type I give at present merely the elements, the methods employed, however, being characteristic.
@article {key1500580m,
AUTHOR = {Moore, Eliakim Hastings},
TITLE = {On the theory of improper definite integrals},
JOURNAL = {Trans. Am. Math. Soc.},
FJOURNAL = {Transactions of the American Mathematical
Society},
VOLUME = {2},
NUMBER = {4},
YEAR = {1901},
PAGES = {459--475},
DOI = {10.2307/1986258},
NOTE = {MR:1500580. JFM:32.0300.01.},
ISSN = {0002-9947},
CODEN = {TAMTAM},
}
[48] E. H. Moore :
“On the projective axioms of geometry ,”
Trans. Am. Math. Soc.
3 : 1
(1902 ),
pp. 142–158 .
MR
1500592
JFM
33.0487.01
article
Abstract
BibTeX
In the present paper I wish to consider the axioms called by Hilbert [1899] the axioms of connection and of order (I 1–7, II 1–5 of Hilbert’s list), and called by Schur [1901] the projective axioms of geometry.
@article {key1500592m,
AUTHOR = {Moore, Eliakim Hastings},
TITLE = {On the projective axioms of geometry},
JOURNAL = {Trans. Am. Math. Soc.},
FJOURNAL = {Transactions of the American Mathematical
Society},
VOLUME = {3},
NUMBER = {1},
YEAR = {1902},
PAGES = {142--158},
DOI = {10.2307/1986321},
NOTE = {MR:1500592. JFM:33.0487.01.},
ISSN = {0002-9947},
CODEN = {TAMTAM},
}
[49] E. H. Moore :
“A definition of abstract groups ,”
Trans. Am. Math. Soc.
3 : 4
(1902 ),
pp. 485–492 .
MR
1500616
JFM
33.0142.01
article
BibTeX
@article {key1500616m,
AUTHOR = {Moore, Eliakim Hastings},
TITLE = {A definition of abstract groups},
JOURNAL = {Trans. Am. Math. Soc.},
FJOURNAL = {Transactions of the American Mathematical
Society},
VOLUME = {3},
NUMBER = {4},
YEAR = {1902},
PAGES = {485--492},
DOI = {10.2307/1986471},
NOTE = {MR:1500616. JFM:33.0142.01.},
ISSN = {0002-9947},
CODEN = {TAMTAM},
}
[50] E. H. Moore :
“Errata: ‘On the projective axioms of geometry’ ,”
Trans. Am. Math. Soc.
3 : 4
(1902 ),
pp. 501 .
MR
1500457
article
BibTeX
@article {key1500457m,
AUTHOR = {Moore, Eliakim Hastings},
TITLE = {Errata: ``{O}n the projective axioms
of geometry''},
JOURNAL = {Trans. Am. Math. Soc.},
FJOURNAL = {Transactions of the American Mathematical
Society},
VOLUME = {3},
NUMBER = {4},
YEAR = {1902},
PAGES = {501},
DOI = {10.2307/1986471},
NOTE = {MR:1500457.},
ISSN = {0002-9947},
CODEN = {TAMTAM},
}
[51] E. H. Moore :
“‘The betweenness assumptions’ ,”
Am. Math. Mon.
9 : 6–7
(1902 ),
pp. 152–153 .
MR
1515615
JFM
33.0488.03
article
BibTeX
@article {key1515615m,
AUTHOR = {Moore, Eliakim Hastings},
TITLE = {``{T}he betweenness assumptions''},
JOURNAL = {Am. Math. Mon.},
FJOURNAL = {The American Mathematical Monthly},
VOLUME = {9},
NUMBER = {6-7},
YEAR = {1902},
PAGES = {152--153},
DOI = {10.2307/2968814},
NOTE = {MR:1515615. JFM:33.0488.03.},
ISSN = {0002-9890},
}
[52] E. H. Moore :
“Abstract for ‘On Hilbert’s plane arguesian geometry’ ,”
Bull. Am. Math. Soc.
8
(1902 ),
pp. 202 .
Unpublished address.
BibTeX
@article {key63347884,
AUTHOR = {Moore, E. H.},
TITLE = {Abstract for ``{O}n {H}ilbert's plane
arguesian geometry''},
JOURNAL = {Bull. Am. Math. Soc.},
FJOURNAL = {Bulletin of the American Mathematical
Society},
VOLUME = {8},
YEAR = {1902},
PAGES = {202},
NOTE = {Unpublished address. Available at
http://www.ams.org/journals/bull/1902-08-05/S0002-9904-1902-00878-1/S0002-9904-1902-00878-1.pdf.},
ISSN = {0002-9904},
}
[53] E. H. Moore :
“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
BibTeX
@article {key1558011m,
AUTHOR = {Moore, Eliakim Hastings},
TITLE = {On the foundations of mathematics. {P}residential
address delivered before the {A}merican
{M}athematical {S}ociety at its ninth
annual meeting, {D}ecember 19, 1902},
JOURNAL = {Bull. Am. Math. Soc.},
FJOURNAL = {Bulletin of the American Mathematical
Society},
VOLUME = {9},
NUMBER = {8},
YEAR = {1903},
PAGES = {402--424},
DOI = {10.1090/S0002-9904-1903-01007-6},
NOTE = {MR:1558011. JFM:34.0068.03.},
ISSN = {0002-9904},
}
[54] E. H. Moore :
“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
BibTeX
@incollection {key34.0172.02j,
AUTHOR = {Moore, E. H.},
TITLE = {The subgroups of the generalized finite
modular group},
BOOKTITLE = {The decennial publications of the {U}niversity
of {C}hicago},
PUBLISHER = {University of Chicago Press},
YEAR = {1903},
PAGES = {141--190},
URL = {http://www.archive.org/details/decennialpublic01chicgoog},
NOTE = {JFM:34.0172.02.},
}
[55] E. H. Moore :
“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 .
BibTeX
@article {key69391339,
AUTHOR = {Moore, Eliakim Hastings},
TITLE = {On the foundations of mathematics. {P}residential
address delivered before the {A}merican
{M}athematical {S}ociety at its ninth
annual meeting, {D}ecember 19, 1902},
JOURNAL = {Science},
FJOURNAL = {Science},
VOLUME = {17},
NUMBER = {428},
MONTH = {March},
YEAR = {1903},
PAGES = {401--416},
NOTE = {Available at
http://dx.doi.org/http://www.jstor.org/stable/1631286.},
ISSN = {0036-8075},
}
[56] E. H. Moore :
“Errata: ‘A definition of abstract groups’ ,”
Trans. Am. Math. Soc.
5 : 4
(1904 ),
pp. 549 .
MR
1500460
article
BibTeX
@article {key1500460m,
AUTHOR = {Moore, Eliakim Hastings},
TITLE = {Errata: ``{A} definition of abstract
groups''},
JOURNAL = {Trans. Am. Math. Soc.},
FJOURNAL = {Transactions of the American Mathematical
Society},
VOLUME = {5},
NUMBER = {4},
YEAR = {1904},
PAGES = {549},
DOI = {10.2307/1986281},
NOTE = {MR:1500460.},
ISSN = {0002-9947},
CODEN = {TAMTAM},
}
[57] E. H. Moore :
“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
Abstract
BibTeX
In his paper “The determination of the constants in the problem of the brachistochrone” (Bulletin , January, 1904, pages 185–188) Professor Bolza has proved analytically the statement of Weierstrass (lectures of 1882) that, of all cycloid arches having bases in a given line and lying on one side of that line, precisely one passes through any two points, lying on that side of the line or one or both lying on the line, and not lying in the same perpendicular to the line.
The special case in which one of the points is on the base line was handled geometrically by the brothers Bernoulli (cf. Ostwald’s “Klassiker der exacten Wissenschaften,” number 46, pages 12 and 18), use being made of the fact that all cycloid arches are similar. In reading his paper before the mathematical club of the University of Chicago, November 20, 1903, Professor Bolza, after indicating this solution, added a geometric solution for the case in which the segment is parallel to the base line, use being made furthermore of the fact that a cycloid arch is symmetric with respect to the perpendicular bisector of its base.
@article {key1558119m,
AUTHOR = {Moore, E. H.},
TITLE = {On doubly infinite systems of directly
similar convex arches with common base
line},
JOURNAL = {Bull. Am. Math. Soc.},
FJOURNAL = {Bulletin of the American Mathematical
Society},
VOLUME = {10},
NUMBER = {7},
YEAR = {1904},
PAGES = {337--341},
DOI = {10.1090/S0002-9904-1904-01117-9},
NOTE = {MR:1558119. JFM:35.0730.04.},
ISSN = {0002-9904},
}
[58] E. H. Moore :
“On a definition of abstract groups ,”
Trans. Am. Math. Soc.
6 : 2
(1905 ),
pp. 179–180 .
MR
1500704
JFM
36.0193.01
article
Abstract
BibTeX
In a paper entitled “A definition of abstract groups” (Transactions , vol. 3, pp. 485–492, October, 1902), my second definition (l.c, p. 490)
\[ (M^{\prime\prime}) = (1,2,3^{\prime},3^{\prime\prime},3^{\prime\prime}_r,4^{\prime\prime}_l) \]
involves postulates not mutually independent. I shall prove here (as stated in October, 1904, Transactions , vol. 5, p. 549) that (\( 3_r^{\prime\prime} \) ) is redundant, that in the new definition
\[ (\overline{M}^{\prime\prime}):\,(1, 2, 3^{\prime\prime}, 3^{\prime\prime}_l, 4^{\prime\prime}_l) \]
the postulates are mutually independent, and that this mutual independence remains even for the system
\[ (\overline{M}^{\prime\prime}_A):\, (1, 2, 3^{\prime\prime}, 3^{\prime\prime}_l, 4^{\prime\prime}_l, A) \]
defining an abelian group, obtained by adding to those of (\( M^{\prime\prime} \) ) the postulate (\( A \) ) that the multiplication or composition of two elements is commutative.
@article {key1500704m,
AUTHOR = {Moore, Eliakim Hastings},
TITLE = {On a definition of abstract groups},
JOURNAL = {Trans. Am. Math. Soc.},
FJOURNAL = {Transactions of the American Mathematical
Society},
VOLUME = {6},
NUMBER = {2},
YEAR = {1905},
PAGES = {179--180},
DOI = {10.2307/1986296},
NOTE = {MR:1500704. JFM:36.0193.01.},
ISSN = {0002-9947},
CODEN = {TAMTAM},
}
[59] E. H. Moore :
“The cross-section paper as a mathematical instrument ,”
Sch. Rev.
14 : 5
(May 1906 ),
pp. 317–338 .
Abstract
BibTeX
The following note is addressed to teachers and prospective teachers of mathematics in elementary and secondary schools and colleges, who have come to recognize as fundamental the problem of closer correlation of arithmetic, algebra, and geometry with one another and with the various domains of application , or the problem of unification of elementary pure and applied mathematics .
@article {key73041371,
AUTHOR = {Moore, E. H.},
TITLE = {The cross-section paper as a mathematical
instrument},
JOURNAL = {Sch. Rev.},
FJOURNAL = {The School Review},
VOLUME = {14},
NUMBER = {5},
MONTH = {May},
YEAR = {1906},
PAGES = {317--338},
NOTE = {Available at
http://www.jstor.org/stable/1075600.},
ISSN = {0036-6773},
}
[60] E. H. Moore :
“The cross-section paper as a mathematical instrument ,”
Sch. Sci. Math.
6 : 6
(1906 ),
pp. 429–450 .
Abstract
BibTeX
The following note is addressed to teachers and prospective teachers of mathematics in elementary and secondary schools and colleges, who have come to recognize as fundamental the problem of closer correlation of arithmetic, algebra, and geometry with one another and with the various domains of application , or the problem of unification of elementary pure and applied mathematics .
@article {key49022539,
AUTHOR = {Moore, E. H.},
TITLE = {The cross-section paper as a mathematical
instrument},
JOURNAL = {Sch. Sci. Math.},
FJOURNAL = {School Science and Mathematics},
VOLUME = {6},
NUMBER = {6},
YEAR = {1906},
PAGES = {429--450},
NOTE = {Available at
http://dx.doi.org/10.1111/j.1949-8594.1906.tb02854.x.},
ISSN = {0036-6803},
}
[61] E. H. Moore :
“Abstract for ‘On the theory of systems of integral equations of the second kind’ ,”
Bull. Am. Math. Soc.
12
(1906 ),
pp. 280 .
Unpublished address.
BibTeX
@article {key62987857,
AUTHOR = {Moore, E. H.},
TITLE = {Abstract for ``{O}n the theory of systems
of integral equations of the second
kind''},
JOURNAL = {Bull. Am. Math. Soc.},
FJOURNAL = {Bulletin of the American Mathematical
Society},
VOLUME = {12},
YEAR = {1906},
PAGES = {280},
NOTE = {Unpublished address. Available at
http://www.ams.org/journals/bull/1906-12-06/S0002-9904-1906-01328-3/S0002-9904-1906-01328-3.pdf.},
ISSN = {0002-9904},
}
[62] E. H. Moore :
“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
BibTeX
@article {key1558462m,
AUTHOR = {Moore, Eliakim Hastings},
TITLE = {The decomposition of modular systems
connected with the doubly generalized
{F}ermat theorem},
JOURNAL = {Bull. Am. Math. Soc.},
FJOURNAL = {Bulletin of the American Mathematical
Society},
VOLUME = {13},
NUMBER = {6},
YEAR = {1907},
PAGES = {280--288},
DOI = {10.1090/S0002-9904-1907-01457-X},
NOTE = {MR:1558462. JFM:38.0238.02.},
ISSN = {0002-9904},
}
[63] E. H. Moore :
“Note on Fourier’s constants ,”
Bull. Am. Math. Soc.
13 : 5
(1907 ),
pp. 232–234 .
MR
1558448
JFM
38.0307.01
article
BibTeX
@article {key1558448m,
AUTHOR = {Moore, E. H.},
TITLE = {Note on {F}ourier's constants},
JOURNAL = {Bull. Am. Math. Soc.},
FJOURNAL = {Bulletin of the American Mathematical
Society},
VOLUME = {13},
NUMBER = {5},
YEAR = {1907},
PAGES = {232--234},
DOI = {10.1090/S0002-9904-1907-01449-0},
NOTE = {MR:1558448. JFM:38.0307.01.},
ISSN = {0002-9904},
}
[64] E. H. Moore :
“Abstract for ‘Homogeneous distributive functional operations of degree \( n \) ’ ,”
Bull. Am. Math. Soc.
13
(1907 ),
pp. 217–219 .
Unpublished address.
BibTeX
@article {key59275347,
AUTHOR = {Moore, E. H.},
TITLE = {Abstract for ``{H}omogeneous distributive
functional operations of degree \$n\$''},
JOURNAL = {Bull. Am. Math. Soc.},
FJOURNAL = {Bulletin of the American Mathematical
Society},
VOLUME = {13},
YEAR = {1907},
PAGES = {217--219},
NOTE = {Unpublished address. Available at
http://www.ams.org/journals/bull/1907-13-05/S0002-9904-1907-01446-5/S0002-9904-1907-01446-5.pdf.},
ISSN = {0002-9904},
}
[65] E. H. Moore :
“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
Abstract
People
BibTeX
In this paper I wish to define a form of General Analysis apt to play a central rôle in the organic development of various analytic doctrines. Two applications:
to linear integral equations;
to linear differential equations;
are indicated. These applications illustrate two principles of generalization:
by abstraction;
by adjunction of suitably conditioned parameters.
@incollection {key40.0396.01j,
AUTHOR = {Moore, E. H.},
TITLE = {On a form of general analysis with application
to linear differential and integral
equations},
BOOKTITLE = {Atti del {IV} {C}ongresso {I}nternazionale
dei {M}atematici},
EDITOR = {Castelnuovo, G.},
VOLUME = {2},
YEAR = {1909},
PAGES = {98--114},
URL = {http://ada00.math.uni-bielefeld.de/ICM/ICM1908.2/Main/icm1908.2.0098.0114.ocr.pdf},
NOTE = {(Rome, 6--11 April 1908). JFM:40.0396.01.},
}
[66] E. H. Moore :
“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.
BibTeX
@article {key39168821,
AUTHOR = {Moore, E. H.},
TITLE = {Abstract for ``{T}he role of postulational
methods in mathematics''},
JOURNAL = {Bull. Am. Math. Soc.},
FJOURNAL = {Bulletin of the American Mathematical
Society},
VOLUME = {16},
YEAR = {1909},
PAGES = {41},
NOTE = {Unpublished address given at Clark University,
20th anniversary. Available at
http://www.ams.org/journals/bull/1909-16-01/S0002-9904-1909-01858-0/S0002-9904-1909-01858-0.pdf.},
ISSN = {0002-9904},
}
[67] E. H. Moore :
“Introduction to a form of general analysis ,”
pp. 1–150
in
E. H. Moore, E. J. Wilczynski, and M. Mason :
The New Haven Mathematical Colloquium
(New Haven, CT, 5–8 September 1906 ).
Yale University Press (New Haven, CT ),
1910 .
JFM
41.0376.01
incollection
People
BibTeX
@incollection {key41.0376.01j,
AUTHOR = {Moore, E. H.},
TITLE = {Introduction to a form of general analysis},
BOOKTITLE = {The New Haven Mathematical Colloquium},
PUBLISHER = {Yale University Press},
ADDRESS = {New Haven, CT},
YEAR = {1910},
PAGES = {1--150},
NOTE = {(New Haven, CT, 5--8 September 1906).
JFM:41.0376.01.},
}
[68] E. H. Moore :
“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
BibTeX
@incollection {key41.0494.02j,
AUTHOR = {Moore, E. H.},
TITLE = {Theorems in general analysis},
BOOKTITLE = {79th Meeting of the {B}ritish {A}ssociation
for the {A}dvancement of {S}cience},
PUBLISHER = {British Association},
ADDRESS = {London},
YEAR = {1910},
PAGES = {387--388},
NOTE = {(Winnipeg, MB, 25 August--1 September
1909). JFM:41.0494.02.},
}
[69] E. H. Moore :
“A generalization of the game called Nim ,”
Ann. of Math. (2)
11 : 3
(1910 ),
pp. 93–94 .
MR
1502397
JFM
41.0263.02
article
BibTeX
@article {key1502397m,
AUTHOR = {Moore, E. H.},
TITLE = {A generalization of the game called
{N}im},
JOURNAL = {Ann. of Math. (2)},
FJOURNAL = {Annals of Mathematics. Second Series},
VOLUME = {11},
NUMBER = {3},
YEAR = {1910},
PAGES = {93--94},
DOI = {10.2307/1967321},
NOTE = {MR:1502397. JFM:41.0263.02.},
ISSN = {0003-486X},
}
[70] E. H. Moore :
“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
BibTeX
@article {key43.0334.01j,
AUTHOR = {Moore, E. H.},
TITLE = {Abstract for ``{M}ultiplicative interrelations
of certain classes of sequences of positive
terms''},
JOURNAL = {Bull. Am. Math. Soc.},
FJOURNAL = {Bulletin of the American Mathematical
Society},
VOLUME = {18},
NUMBER = {9},
YEAR = {1912},
PAGES = {444--445},
URL = {http://www.ams.org/journals/bull/1912-18-09/S0002-9904-1912-02230-9/S0002-9904-1912-02230-9.pdf},
NOTE = {Unpublished address. JFM:43.0334.01.},
ISSN = {0002-9904},
}
[71] E. H. Moore :
“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
BibTeX
@article {key1559219m,
AUTHOR = {Moore, E. H.},
TITLE = {On the foundations of the theory of
linear integral equations},
JOURNAL = {Bull. Am. Math. Soc.},
FJOURNAL = {Bulletin of the American Mathematical
Society},
VOLUME = {18},
NUMBER = {7},
YEAR = {1912},
PAGES = {334--362},
DOI = {10.1090/S0002-9904-1912-02207-3},
NOTE = {MR:1559219. JFM:43.0424.02.},
ISSN = {0002-9904},
}
[72] E. H. Moore :
“Abstract for ‘On nowhere negative kernels’ ,”
Bull. Am. Math. Soc.
19 : 6
(1913 ),
pp. 287–288 .
Unpublished address.
JFM
44.0420.08
article
BibTeX
@article {key44.0420.08j,
AUTHOR = {Moore, E. H.},
TITLE = {Abstract for ``{O}n nowhere negative
kernels''},
JOURNAL = {Bull. Am. Math. Soc.},
FJOURNAL = {Bulletin of the American Mathematical
Society},
VOLUME = {19},
NUMBER = {6},
YEAR = {1913},
PAGES = {287--288},
URL = {http://www.ams.org/journals/bull/1913-19-06/S0002-9904-1913-02330-9/S0002-9904-1913-02330-9.pdf},
NOTE = {Unpublished address. JFM:44.0420.08.},
ISSN = {0002-9904},
}
[73] E. H. Moore :
“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
BibTeX
@article {key44.0420.09j,
AUTHOR = {Moore, E. H.},
TITLE = {Abstract for ``{O}n a class of continuous
functional operations associated with
the class of continuous functions on
a finite linear interval''},
JOURNAL = {Bull. Am. Math. Soc.},
FJOURNAL = {Bulletin of the American Mathematical
Society},
VOLUME = {20},
NUMBER = {2},
YEAR = {1913},
PAGES = {70--71},
URL = {http://www.ams.org/journals/bull/1913-20-02/S0002-9904-1913-02438-8/S0002-9904-1913-02438-8.pdf},
NOTE = {Unpublished address. JFM:44.0420.09.},
ISSN = {0002-9904},
}
[74] E. H. Moore :
“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
BibTeX
@article {key44.0755.04j,
AUTHOR = {Moore, E. H.},
TITLE = {Abstract for ``{O}n the geometry of
linear homogeneous transformations of
\$m\$ variables''},
JOURNAL = {Bull. Am. Math. Soc.},
FJOURNAL = {Bulletin of the American Mathematical
Society},
VOLUME = {19},
NUMBER = {9},
YEAR = {1913},
PAGES = {457--458},
URL = {http://www.ams.org/journals/bull/1913-19-09/S0002-9904-1913-02394-2/S0002-9904-1913-02394-2.pdf},
NOTE = {Unpublished address. JFM:44.0755.04.},
ISSN = {0002-9904},
}
[75] E. H. Moore :
“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
BibTeX
@incollection {key44.0248.11j,
AUTHOR = {Moore, E. H.},
TITLE = {A mode of composition of positive quadratic
forms},
BOOKTITLE = {82nd Meeting of the {B}ritish {A}ssociation
for the {A}dvancement of {S}cience},
PUBLISHER = {British Association},
ADDRESS = {London},
YEAR = {1913},
PAGES = {413},
NOTE = {(Dundee, Scotland, September 1912).
JFM:44.0248.11.},
}
[76] E. H. Moore :
“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
People
BibTeX
@incollection {key44.0405.03j,
AUTHOR = {Moore, E. H.},
TITLE = {On the fundamental functional operation
of a general theory of linear integral
equations},
BOOKTITLE = {Proceedings of the fifth {I}nternational
{M}athematics {C}onference},
EDITOR = {Hobson, E. W. and Love, A. E. H.},
VOLUME = {1},
YEAR = {1913},
PAGES = {230--255},
URL = {http://www.mathunion.org/ICM/ICM1912.1/Main/icm1912.1.0230.0255.ocr.pdf},
NOTE = {(Cambridge, UK, 22--28 August 1912).
JFM:44.0405.03.},
}
[77] E. H. Moore :
“Definition of limit in general integral analysis ,”
Proc. Natl. Acad. Sci. USA
1 : 12
(December 1915 ),
pp. 628–632 .
JFM
45.0426.03
article
BibTeX
@article {key45.0426.03j,
AUTHOR = {Moore, E. H.},
TITLE = {Definition of limit in general integral
analysis},
JOURNAL = {Proc. Natl. Acad. Sci. USA},
FJOURNAL = {Proceedings of the National Academy
of Sciences of the United States of
America},
VOLUME = {1},
NUMBER = {12},
MONTH = {December},
YEAR = {1915},
PAGES = {628--632},
DOI = {10.1073/pnas.1.12.628},
NOTE = {JFM:45.0426.03.},
ISSN = {0027-8424},
}
[78] E. H. Moore :
“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.
BibTeX
@article {key52442907,
AUTHOR = {Moore, E. H.},
TITLE = {Abstract for ``{R}eport on integral
equations in general analysis''},
JOURNAL = {Bull. Am. Math. Soc.},
FJOURNAL = {Bulletin of the American Mathematical
Society},
VOLUME = {21},
YEAR = {1915},
PAGES = {430},
NOTE = {Unpublished address by chairman of AMS
Chicago Section. Available at
http://www.ams.org/journals/bull/1915-21-09/S0002-9904-1915-02682-0/S0002-9904-1915-02682-0.pdf.},
ISSN = {0002-9904},
}
[79] E. H. Moore :
“Abstract for ‘On properly positive Hermitian matrices’ ,”
Bull. Am. Math. Soc.
23 : 2
(1916 ),
pp. 66–67 .
Unpublished address.
JFM
46.0165.03
article
BibTeX
@article {key46.0165.03j,
AUTHOR = {Moore, E. H.},
TITLE = {Abstract for ``{O}n properly positive
{H}ermitian matrices''},
JOURNAL = {Bull. Am. Math. Soc.},
FJOURNAL = {Bulletin of the American Mathematical
Society},
VOLUME = {23},
NUMBER = {2},
YEAR = {1916},
PAGES = {66--67},
URL = {http://www.ams.org/journals/bull/1916-23-02/S0002-9904-1916-02866-7/S0002-9904-1916-02866-7.pdf},
NOTE = {Unpublished address. JFM:46.0165.03.},
ISSN = {0002-9904},
}
[80] E. H. Moore :
“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
BibTeX
@article {key46.0364.03j,
AUTHOR = {Moore, E. H.},
TITLE = {Abstract for ``{O}n a definition of
the concept: limit of a function''},
JOURNAL = {Bull. Am. Math. Soc.},
FJOURNAL = {Bulletin of the American Mathematical
Society},
VOLUME = {22},
NUMBER = {9},
YEAR = {1916},
PAGES = {439--440},
URL = {http://www.ams.org/journals/bull/1916-22-09/S0002-9904-1916-02822-9/S0002-9904-1916-02822-9.pdf},
NOTE = {Unpublished address. JFM:46.0364.03.},
ISSN = {0002-9904},
}
[81] E. H. Moore :
“Abstract for ‘On the reciprocal of the general algebraic matrix’ ,”
Bull. Am. Math. Soc.
26
(1920 ),
pp. 394–395 .
Unpublished address.
BibTeX
@article {key38005295,
AUTHOR = {Moore, E. H.},
TITLE = {Abstract for ``{O}n the reciprocal of
the general algebraic matrix''},
JOURNAL = {Bull. Am. Math. Soc.},
FJOURNAL = {Bulletin of the American Mathematical
Society},
VOLUME = {26},
YEAR = {1920},
PAGES = {394--395},
NOTE = {Unpublished address. Available at
http://www.ams.org/journals/bull/1920-26-09/S0002-9904-1920-03322-7/S0002-9904-1920-03322-7.pdf.},
ISSN = {0002-9904},
}
[82] E. H. Moore and H. L. Smith :
“A general theory of limits ,”
Am. J. Math.
44 : 2
(1922 ),
pp. 102–121 .
MR
1506463
JFM
48.1254.01
article
Abstract
People
BibTeX
@article {key1506463m,
AUTHOR = {Moore, E. H. and Smith, H. L.},
TITLE = {A general theory of limits},
JOURNAL = {Am. J. Math.},
FJOURNAL = {American Journal of Mathematics},
VOLUME = {44},
NUMBER = {2},
YEAR = {1922},
PAGES = {102--121},
DOI = {10.2307/2370388},
NOTE = {MR:1506463. JFM:48.1254.01.},
ISSN = {0002-9327},
CODEN = {AJMAAN},
}
[83] E. H. Moore :
“On power series in general analysis ,”
Math. Ann.
86 : 1–2
(1922 ),
pp. 30–39 .
MR
1512076
JFM
48.0488.02
article
BibTeX
@article {key1512076m,
AUTHOR = {Moore, Eliakim Hastings},
TITLE = {On power series in general analysis},
JOURNAL = {Math. Ann.},
FJOURNAL = {Mathematische Annalen},
VOLUME = {86},
NUMBER = {1--2},
YEAR = {1922},
PAGES = {30--39},
DOI = {10.1007/BF01458569},
NOTE = {MR:1512076. JFM:48.0488.02.},
ISSN = {0025-5831},
CODEN = {MAANA},
}
[84] E. H. Moore :
“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
BibTeX
@article {key48.0128.07j,
AUTHOR = {Moore, E. H.},
TITLE = {Abstract for ``{O}n the determinant
of an {H}ermitian matrix of quaternionic
elements''},
JOURNAL = {Bull. Am. Math. Soc.},
FJOURNAL = {Bulletin of the American Mathematical
Society},
VOLUME = {28},
NUMBER = {4},
YEAR = {1922},
PAGES = {161},
URL = {http://www.ams.org/journals/bull/1922-28-04/S0002-9904-1922-03536-7/S0002-9904-1922-03536-7.pdf},
NOTE = {Article unpublished. JFM:48.0128.07.},
ISSN = {0002-9904},
}
[85] E. H. Moore :
“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
BibTeX
@article {key48.1150.08j,
AUTHOR = {Moore, E. H.},
TITLE = {Abstract for ``On the determinant of
an {H}ermitian matrix with quaternionic
elements: {D}efinition and elementary
properties with applications''},
JOURNAL = {Bull. Am. Math. Soc.},
FJOURNAL = {Bulletin of the American Mathematical
Society},
VOLUME = {28},
NUMBER = {6},
YEAR = {1922},
PAGES = {296},
URL = {http://www.ams.org/journals/bull/1922-28-06/S0002-9904-1922-03567-7/S0002-9904-1922-03567-7.pdf},
NOTE = {Article unpublished. JFM:48.1150.08.},
ISSN = {0002-9904},
}
[86] E. H. Moore :
“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.
BibTeX
@article {key77773239,
AUTHOR = {Moore, E. H.},
TITLE = {Abstract for ``{W}hat is a number system?''},
JOURNAL = {Bull. Am. Math. Soc.},
FJOURNAL = {Bulletin of the American Mathematical
Society},
VOLUME = {29},
YEAR = {1923},
PAGES = {91},
NOTE = {Unpublished retiring president's address
to {A}merican {A}ssociation for the
{A}dvancement of {S}cience, {C}ambridge,
{MA}, {D}ecember 1922. Available at
http://www.ams.org/journals/bull/1923-29-02/S0002-9904-1923-03683-5/S0002-9904-1923-03683-5.pdf.},
ISSN = {0002-9904},
}
[87] E. H. Moore :
“Abstract for ‘Introduction to a theory of generalized Hellinger integrals’ ,”
Bull. Am. Math. Soc.
32
(1926 ),
pp. 224 .
Unpublished address.
BibTeX
@article {key22983602,
AUTHOR = {Moore, E. H.},
TITLE = {Abstract for ``{I}ntroduction to a theory
of generalized {H}ellinger integrals''},
JOURNAL = {Bull. Am. Math. Soc.},
FJOURNAL = {Bulletin of the American Mathematical
Society},
VOLUME = {32},
YEAR = {1926},
PAGES = {224},
NOTE = {Unpublished address. Available at
http://www.ams.org/journals/bull/1926-32-03/S0002-9904-1926-04198-7/S0002-9904-1926-04198-7.pdf.},
ISSN = {0002-9904},
}
[88] L. E. Dickson :
“Eliakim Hastings Moore ,”
Science
77 : 1986
(January 1933 ),
pp. 79–80 .
JFM
59.0854.08
article
People
BibTeX
@article {key59.0854.08j,
AUTHOR = {Dickson, L. E.},
TITLE = {Eliakim {H}astings {M}oore},
JOURNAL = {Science},
VOLUME = {77},
NUMBER = {1986},
MONTH = {January},
YEAR = {1933},
PAGES = {79--80},
DOI = {10.1126/science.77.1986.79},
NOTE = {JFM:59.0854.08.},
ISSN = {0036-8075},
}
[89] E. H. Moore :
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
People
BibTeX
@book {key0013.11605z,
AUTHOR = {Moore, Eliakim Hastings},
TITLE = {General analysis},
VOLUME = {1},
SERIES = {Memoirs of the American Philosophical
Society},
NUMBER = {1},
PUBLISHER = {American Philosophical Society},
ADDRESS = {Philadelphia},
YEAR = {1935},
PAGES = {vi+231},
NOTE = {Edited by R. W. Barnard.
Zbl:0013.11605. JFM:61.0433.06.},
}
[90]
G. A. Bliss and L. E. Dickson :
“Eliakim Hastings Moore: 1862–1932 ,”
Biographical Memoirs of the National Academy of Sciences
17
(1937 ),
pp. 83–102 .
article
People
BibTeX
Read it here
@article {key45976030,
AUTHOR = {Gilbert A. Bliss and Leonard E. Dickson},
TITLE = {Eliakim Hastings Moore: 1862--1932},
JOURNAL = {Biographical Memoirs of the National
Academy of Sciences},
VOLUME = {17},
YEAR = {1937},
PAGES = {83--102},
}
[91] E. H. Moore :
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
People
BibTeX
@book {key0020.36601z,
AUTHOR = {Moore, Eliakim Hastings},
TITLE = {General analysis},
VOLUME = {2: The fundamental notions of general
analysis},
SERIES = {Memoirs of the American Philosophical
Society},
NUMBER = {1},
PUBLISHER = {American Philosophical Society},
ADDRESS = {Philadelphia},
YEAR = {1939},
PAGES = {vi+255},
NOTE = {Edited by R. W. Barnard.
Zbl:0020.36601. JFM:65.0497.05.},
}
[92] E. H. Moore :
“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
Abstract
People
BibTeX
@article {key0015515m,
AUTHOR = {Moore, E. H.},
TITLE = {Classes of sequences of positive numbers},
JOURNAL = {Bull. Am. Math. Soc.},
FJOURNAL = {Bulletin of the American Mathematical
Society},
VOLUME = {52},
YEAR = {1946},
PAGES = {192--219},
DOI = {10.1090/S0002-9904-1946-08523-7},
NOTE = {Prepared for publication by {H}.~{H}.~{G}oldstine
and {T}.~{H}.~{H}ildebrandt. MR:0015515.
Zbl:0060.15403.},
ISSN = {0002-9904},
}