Tham khảo Emmy

Tham khảo Emmy_Noether

Các bài báo của Emmy Noether (bằng tiếng Đức)

Bài chi tiết: en:Emmy Noether bibliography

Noether, Emmy (1907), “Über die Bildung des Formensystems der ternären biquadratischen Form” [On Complete Systems of Invariants for Ternary Biquadratic Forms], Journal für die reine und angewandte Mathematik (bằng tiếng Đức) (DE: Uni Göttingen) 39: 176–179 and two tables .
Noether, Emmy (1908), “Über die Bildung des Formensystems der ternären biquadratischen Form” [On Complete Systems of Invariants for Ternary Biquadratic Forms], Journal für die reine und angewandte Mathematik (bằng tiếng Đức) (DE: Uni Göttingen) 134: 23–90 and two tables .
——— (1913), “Rationale Funktionenkörper” [Rational Function Fields], J. Ber. D. DMV (bằng tiếng Đức) (DE: Uni Göttingen) 22: 316–19 .
——— (1915), “Der Endlichkeitssatz der Invarianten endlicher Gruppen” [The Finiteness Theorem for Invariants of Finite Groups], Mathematische Annalen (bằng tiếng Đức) (DE: Digizeitschriften) 77: 89–92, doi:10.1007/BF01456821
——— (1918), “Gleichungen mit vorgeschriebener Gruppe” [Equations with Prescribed Group], Mathematische Annalen (bằng tiếng Đức) 78: 221–29, doi:10.1007/BF01457099 .
——— (23 tháng 5 năm 2020), “Invariante Variationsprobleme” [Invariant Variation Problems], Nachr. D. König. Gesellsch. D. Wiss. (bằng tiếng Đức) (Göttingen: Math-phys. Klasse) 1918: 235–57 . English translation by M. A. Tavel (1918), arXiv:physics/0503066.
——— (1921), “Idealtheorie in Ringbereichen” [The Theory of Ideals in Ring Domains], Mathematische Annalen (PDF)|định dạng= cần |url= (trợ giúp) (bằng tiếng Đức) (Metapress) 83 (1), ISSN 0025-5831 .
——— (1923), “Zur Theorie der Polynomideale und Resultanten”, Mathematische Annalen (bằng tiếng Đức) (DE: Digizeitschriften) 88: 53–79, doi:10.1007/BF01448441 .
——— (23 tháng 5 năm 2020), “Eliminationstheorie und allgemeine Idealtheorie”, Mathematische Annalen (bằng tiếng Đức) (DE: Digizeitschriften) 90 (3–4): 229–61, doi:10.1007/BF01455443 .
——— (1924), “Eliminationstheorie und Idealtheorie”, Jahresbericht der Deutschen Mathematiker-Vereinigung (bằng tiếng Đức) (DE: Uni Göttingen) 33: 116–20 .
——— (1926), “Der Endlichkeitsatz der Invarianten endlicher linearer Gruppen der Charakteristik p” [Proof of the Finiteness of the Invariants of Finite Linear Groups of Characteristic p], Nachr. Ges. Wiss (bằng tiếng Đức) (DE: Uni Göttingen): 28–35 .
——— (23 tháng 5 năm 2020), “Ableitung der Elementarteilertheorie aus der Gruppentheorie” [Derivation of the Theory of Elementary Divisor from Group Theory], Jahresbericht der Deutschen Mathematiker-Vereinigung (bằng tiếng Đức) (DE: Digizeitschriften), 34 (Abt. 2): 104 .
——— (1927), “Abstrakter Aufbau der Idealtheorie in algebraischen Zahl- und Funktionenkörpern” [Abstract Structure of the Theory of Ideals in Algebraic Number Fields] (PDF), Mathematische Annalen (bằng tiếng Đức) (Metapress) 96 (1): 26–61, doi:10.1007/BF01209152 .
Brauer, Richard; Noether, Emmy (1927), “Über minimale Zerfällungskörper irreduzibler Darstellungen” [On the Minimum Splitting Fields of Irreducible Representations], Sitz. Ber. D. Preuss. Akad. D. Wiss. (bằng tiếng Đức): 221–28 .
Noether, Emmy (1929), “Hyperkomplexe Größen und Darstellungstheorie” [Hypercomplex Quantities and the Theory of Representations], Mathematische Annalen (bằng tiếng Đức) 30: 641–92, doi:10.1007/BF01187794 .
Brauer, Richard; Hasse, Helmut; Noether, Emmy (1932), “Beweis eines Hauptsatzes in der Theorie der Algebren” [Proof of a Main Theorem in the Theory of Algebras], Journal für Math. (bằng tiếng Đức) (DE: Uni Göttingen) 167: 399–404 .
Noether, Emmy (1933), “Nichtkommutative Algebren” [Noncommutative Algebras], Mathematische Zeitschrift (bằng tiếng Đức) 37: 514–41, doi:10.1007/BF01474591 .
——— (1983), Jacobson, Nathan, biên tập, Gesammelte Abhandlungen [Collected papers] (bằng tiếng Đức), Berlin, New York: Springer-Verlag, tr. viii, 777, ISBN 3-540-11504-8, MR 0703862 .

Các nguồn khác

Alexandrov, Pavel S. (1981), “In Memory of Emmy Noether”, trong Brewer, James W; Smith, Martha K, Emmy Noether: A Tribute to Her Life and Work, New York: Marcel Dekker, tr. 99–111, ISBN 0-8247-1550-0 .
Blue, Meredith (2001), Galois Theory and Noether's Problem (PDF), Thirty-Fourth Annual Meeting: Florida Section of The Mathematical Association of America .
Byers, Nina (1998), “E. Noether's Discovery of the Deep Connection Between Symmetries and Conservation Laws”, Proceedings of a Symposium on the Heritage of Emmy Noether, IL: Bar-Ilan University, arXiv:physics/9807044 .
Byers, Nina (2006), “Emmy Noether”, trong Byers, Nina; Williams, Gary, Out of the Shadows: Contributions of 20th Century Women to Physics, Cambridge: Cambridge University Press, ISBN 0-521-82197-5 .
Dick, Auguste (1981), Emmy Noether: 1882–1935, Boston: Birkhäuser, ISBN 3-7643-3019-8 . Trans. H. I. Blocher.
Fleischmann, Peter (2000), “The Noether bound in invariant theory of finite groups”, Advances in Mathematics 156 (1): 23–32, MR 1800251, doi:10.1006/aima.2000.1952 .
Fogarty, John (2001), “On Noether's bound for polynomial invariants of a finite group”, Electronic Research Announcements of the American Mathematical Society 7 (2): 5–7, MR 1826990, doi:10.1090/S1079-6762-01-00088-9, truy cập ngày 16 tháng 6 năm 2008
Gilmer, Robert (1981), “Commutative Ring Theory”, trong Brewer, James W; Smith, Martha K, Emmy Noether: A Tribute to Her Life and Work, New York: Marcel Dekker, tr. 131–43, ISBN 0-8247-1550-0 .
Gordan, Paul (1870), “Die simultanen Systeme binärer Formen”, Mathematische Annalen (bằng tiếng Đức) 2 (2): 227–280, doi:10.1007/BF01444021 .
Haboush, WJ (1975), “Reductive groups are geometrically reductive”, Ann. Math. (The Annals of Mathematics, Vol. 102, No. 1) 102 (1): 67–83, JSTOR 1970974, doi:10.2307/1970974 .
Hasse, Helmut (1933), “Die Struktur der R. Brauerschen Algebrenklassengruppe über einem algebraischen Zahlkörper”, Mathematische Annalen (bằng tiếng Đức) 107: 731–760, doi:10.1007/BF01448916 .
Hilbert, David (tháng 12 năm 1890), “Ueber die Theorie der algebraischen Formen”, Mathematische Annalen (bằng tiếng Đức) 36 (4): 473–534, doi:10.1007/BF01208503 .
Hilton, Peter (1988), “A Brief, Subjective History of Homology and Homotopy Theory in This Century”, Mathematics Magazine 60 (5): 282–91, JSTOR 2689545?
Hopf, Heinz (1928), “Eine Verallgemeinerung der Euler-Poincaréschen Formel”, Nachrichten von der Gesellschaft der Wissenschaften zu Göttingen. Mathematisch-Physikalische Klasse (bằng tiếng Đức) 2: 127–36 .
James, Ioan (2002), Remarkable Mathematicians from Euler to von Neumann, Cambridge: Cambridge University Press, ISBN 0-521-81777-3 .
Kimberling, Clark (1981), “Emmy Noether and Her Influence”, trong Brewer, James W; Smith, Martha K, Emmy Noether: A Tribute to Her Life and Work, New York: Marcel Dekker, tr. 3–61, ISBN 0-8247-1550-0 .
Lam, Tsit Yuen (1981), “Representation Theory”, trong Brewer, James W; Smith, Martha K, Emmy Noether: A Tribute to Her Life and Work, New York: Marcel Dekker, tr. 145–56, ISBN 0-8247-1550-0 .
Lederman, Leon M.; Hill, Christopher T (2004), Symmetry and the Beautiful Universe, Amherst: Prometheus Books, ISBN 1-59102-242-8 .
Mac Lane, Saunders (1981), “Mathematics at the University of Göttingen 1831–1933”, trong Brewer, James W; Smith, Martha K, Emmy Noether: A Tribute to Her Life and Work, New York: Marcel Dekker, tr. 65–78, ISBN 0-8247-1550-0 .
Malle, Gunter; Matzat, Bernd Heinrich (1999), Inverse Galois theory, Springer Monographs in Mathematics, Berlin, New York: Springer-Verlag, ISBN 978-3-540-62890-3, MR 1711577 .
Noether, Gottfried E (1987), Grinstein, LS; Campbell, PJ, biên tập, Women of Mathematics, New York: Greenwood press, ISBN 0-313-24849-4 .
Noether, Max (1914), “Paul Gordan”, Mathematische Annalen 75 (1): 1–41, doi:10.1007/BF01564521 .
Osen, Lynn M. (1974), “Emmy (Amalie) Noether”, Women in Mathematics, MIT Press, tr. 141–52, ISBN 0-262-15014-X .
Schmadel, Lutz D (2003), Dictionary of Minor Planet Names (ấn bản 5), Berlin: Springer-Verlag, ISBN 3-540-00238-3 Bảo trì CS1: Văn bản dư (link).
Swan, Richard G (1969), “Invariant rational functions and a problem of Steenrod”, Inventiones Mathematicae 7 (2): 148–158, doi:10.1007/BF01389798 .
Taussky, Olga (1981), “My Personal Recollections of Emmy Noether”, trong Brewer, James W; Smith, Martha K, Emmy Noether: A Tribute to Her Life and Work, New York: Marcel Dekker, tr. 79–92, ISBN 0-8247-1550-0 .
Teicher, M. (ed.) (1999), The Heritage of Emmy Noether, Israel Mathematical Conference Proceedings, Bar-Ilan University, American Mathematical Society, Oxford University Press, ISBN 978-0-19-851045-1, OCLC 223099225
van der Waerden, B.L. (1935), “Nachruf auf Emmy Noether” [obituary of Emmy Noether], Mathematische Annalen (bằng tiếng Đức) 111: 469–74, doi:10.1007/BF01472233 . Reprinted in Dick 1981.
——— (1985), A History of Algebra: from al-Khwārizmī to Emmy Noether, Berlin: Springer-Verlag, ISBN 0-387-13610-X .
Weyl, Hermann (1935), “Emmy Noether”, Scripta Mathematica 3 (3): 201–220 , reprinted as an appendix to Dick (1981).
Weyl, Hermann (1944), “David Hilbert and his mathematical work”, Bulletin of the American Mathematical Society 50 (9): 612–654, MR 0011274, doi:10.1090/S0002-9904-1944-08178-0 .