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IBUKI has collected togethered and indexed electronic (mostly PDF) editions of primary sources, books, articles and study guides for history, science and literature.
Works by Richard Dedikind
- 1890 "Letter to Keferstein" in |heijenoort1967source| pp.98-103
- 1854
“Über die Einführung neuer Funktionen in der
Mathematik; Habilitationsvortrag”; in Dedekind (1930–32),
Vol. 3, pp. 428–438.
- 1857
“Abriß einer Theorie der höheren Kongruenzen in
bezug auf einen reellen Primzahl-Modulus”; reprinted in Dedekind
(1930–32), Vol. 1, pp. 40–67.
- 1872
Stetigkeit und irrationale Zahlen, Vieweg: Braunschweig
(originally published as a separate booklet); reprinted in Dedekind
(1930–32), Vol. 3, pp. 315–334, and in Dedekind (1965), pp. 1–22;
English trans., Dedekind (1901b).
- 1876a
“Bernhard Riemanns Lebenslauf”, in Riemann (1876),
pp. 539–558.
- 1876b
“Briefe an Lipschitz (1–2)”, in Dedekind (1930–32),
Vol. 3, pp. 468–479.
| 1876 |
Riemann, Bernard, Gesammelte Mathematische Werke und
Wissenschaftlicher Nachlass, H. Weber, ed., with assistance by
R. Dedekind; second edition (revised) 1892, with a supplement added
in 1902; reprinted by Dover: New York, 1953. |
| 1877 |
Sur la Théorie des Nombres Entiers
Algébrique, Gauthier-Villars: Paris; reprinted in Dedekind
(1930–32), Vol. 3, pp. 262–296; English trans. Dedekind (1996b). |
| 1882 |
“Theorie der algebraischen Funktionen einer
Veränderlichen”, with H. Weber; reprinted in Dedekind
(1930–32), Vol. 1, pp. 238–350. |
| 1888a |
Was sind und was sollen die Zahlen?, Vieweg:
Braunschweig (originally published as a separate booklet); reprinted
in Dedekind (1930–32), Vol. 3, pp. 335–91, and in Dedekind (1965),
pp. III–XI and 1–47; English trans., (Dedekind 1901c) and (revised)
Dedekind (1995). |
| 1888b |
“Brief an Weber”, in Dedekind (1930–32), Vol. 3, pp.
488–490. |
| 1890 |
“Letter to Keferstein”, in Van Heijenoort (1967),
pp. 98–103. |
| 1893 |
Lejeune-Dirichlet, P.G., Vorlesungen über
Zahlentheorie, fourth edition, edited and with supplements by R.
Dedekind; Vieweg: Braunschweig; reprinted by Chelsea: New York,
1968. |
| 1897 |
“Über Zerlegungen von Zahlen durch ihre
größten gemeinsamen Teiler”; reprinted in Dedekind
(1930–32), Vol. 2, pp. 103–147. |
| 1900 |
“Über die von drei Moduln erzeugte Dualgruppe”;
reprinted in Dedekind (1930–32), Vol. II,
pp. 236–271. |
| 1901a |
Essays on the Theory of Numbers, W.W. Beman, ed. and
trans., Open Court Publishing Company: Chicago, 1901; reprinted by
Dover: New York, 1963; English version of Dedekind (1965); essays also
included in Ewald (1996a), pp. 756–779 and 787–833, and in
Hawking (2005a), pp. 901–964. |
| 1901b |
“Continuity and Irrational Numbers”, in (Dedekind
1901a), pp. 1–27; English trans. of Dedekind (1872). |
| 1901c |
“The Nature and Meaning of Numbers”, in (Dedekind
1901a), pp. 29–115; English trans. of Dedekind (1888a). |
| 1930–32 |
Gesammelte Mathematische Werke, Vols. 1–3, R. Fricke,
E. Noether & Ö. Ore, eds., Vieweg: Braunschweig; reprinted
(except for the separately published Dedekind 1964) by Chelsea
Publishing Company: New York, 1969. |
| 1937 |
Noether, E. & Cavaillès, J., eds., Briefwechsel
Cantor-Dedekind, Hermann, Paris. |
| 1964 |
Über die Theorie der ganzen algebraischen
Zahlen. Nachdruck des elften Supplements (from
Lejeune-Dirichlet 1893), with a preface by B. L. van der Waerden,
Vieweg: Braunschweig. |
| 1965 |
Was sind und was sollen die Zahlen?/Stetigkeit und irrationale
Zahlen. Studienausgabe, G. Asser, ed., Vieweg:
Braunschweig; later German version of Dedekind (1901a). |
| 1981 |
“Eine Vorlesung über Algebra”, in Scharlau
(1981a), pp. 59–100. |
| 1982 |
“Unveröffentlichte algebraische Arbeiten Richard
Dedekinds aus seiner Göttinger Zeit, 1855–1858”,
Archive for History of Exact Sciences 27:4, 335–367. |
| 1985 |
Vorlesungen über Diffential- und Integralrechnung
1861/62, based on notes by H. Bechtold, M.-A. Knus &
W. Scharlau, eds., Vieweg: Braunschweig. |
| 1986 |
Lipschitz, Rudolf, Briefwechsel mit Cantor, Dedekind,
Helmholtz, Kronecker, Weierstrass und anderen, W. Scharlau, ed.,
Vieweg: Braunschweig. |
| 1991 |
Meschkowski, H. & Nilson, W., eds., Georg
Cantor. Briefe, Berlin: Springer; especially “Die Periode
des Briefwechsels mit Dedekind — die Entstehung der
Mengenlehre”, pp. 29–66. |
| 1995 |
What Are Numbers and What Should They Be? H. Pogorzelski,
W. Ryan & W. Snyder, eds. and trans., Research Institute for
Mathematics: Orono, ME; revised English trans. of Dedekind (1888). |
| 1996a |
“Julius Wilhelm Richard Dedekind (1831–1916)”, in
Ewald (1996a), Vol. 2, pp. 753–837; English trans. of various
texts by Dedekind. |
| 1996b |
Theory of Algebraic Integers, J. Stillwell, ed. and
trans., Cambridge University Press; English trans. of Dedekind
(1877). |
| 1999 |
Dirichlet, P.G.L.,
Lectures on Number Theory, with supplements by Richard
Dedekind, J. Stillwell, ed. and trans., American Mathematical Society:
Providence; English trans. of Lejeune-Dirichlet (1893). |
| 2008 |
Richard Dedekind: La création des nombres,
H.B. Sinaceur, ed. and trans., Vrin: Paris;
French trans. of various texts by Dedekind. |
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