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日本数学会

高木貞治50年祭記念事業

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高木貞治(1875−1960)著書およぴ論文目録--「数学」12巻3号より

著書  

  1. 新撰算術.(帝国百科全書,第6編),博文館,1898,pp. 297.
  2. 新撰代数学(帝国百科全書,第17編),博文館,1898,pp. 296.
  3. 新式算術講義,博文館,190,pp.456.
  4. 高等教育)代数学, 開成館,1904, pp. 404. ほかに算術教科書,1904; 代数教科書,1904; 広算術教科書,1909; (師範教育)数学教科書(平面幾何,算術及代数,立体幾何),1910-1911(以上開成館).
  5. 代数学講義,共立出版,1930, pp. 477.
  6. 初等整数論講義,共立出版,1931, pp. 496.
  7. 数学雑談(輓近数学講座新修版),共立出版,1935, pp. 264.
  8. 過渡期の数学(大阪大学数学講演集),岩波書店,1935, pp. 38.
  9. 解析概論(数学講座改訂版),岩波書店, 1938, pp. 600. 同増訂版,1943, pp. 548.
  10. 近世数学史談(科学新書),河出書房, 1942, pp. 216.  (共立輓近 数学講座(1931)改訂版 付録 1.回顧と展望(1940),2. ヒルベルト訪問記(1932)).
  11. 数学小景(改訂版), 岩波書店,1944, pp. 227(初版は1943).
  12. 代数的整数論,岩波書店,1948, pp. 316.(数学講座(1935)の改訂版).
  13. 数学の自由性,考え方研究社, 1949, pp. 128.
  14. 数の概念, 岩波書店, 1949, pp. 94.

論文

  1. On the Weierstrass proof of the fundamental theorem of algebra, Proc. Phys.-Math. Soc. Japan, Ser. II, 1(1902),56-58.
  2. On the ‘zweigliedriger Modul', Proc. Phys.-Math. Soc. Japan, Ser. II , 1(1902), 102-103.
  3. A simple example of the continuous function without derivatives, Proc. Phys.-Math. Soc. Japan, Ser. II, 1(1903), 176-177.
  4. Mathematical notes, Proc. Phys.-Math. Soc. Japan, Ser. II , 2(1903), 25-29.
  5. A simple proof of the law of reciprocity for quadratic residues, Proc. Phys.-Math. Soc. Japan, Ser. II , 2(1903), 74-78.
  6. Ueber die im Bereiche der rationalen komplexen Zahlen Abel’scher Zahkörper, J. Coll. Sci. Imp. Univ. Tokyo, 19, Art. 5 (1903), 1-42.
  7. On a fundamental property of the equation of division in the theory of complex multiplication, Proc. Phys.-Math. Soc. Japan, Ser. II, 7(1914), 414-417.
  8. Zur Theorie der relativ-Abel’schen Zahlk&oiml;rper I, Proc. Phys.-Math. Soc. Japan, Ser. II, 8(1915), 154-162.
  9. Zur Theorie der relativ-Aberschen Zahlkörper II, Proc. Phys.-Math. Soc. Japan, Ser. II, 8(1915), 243-254.
  10. Zur Theorie der komplexen Multiplication der elliptischen Funktionen, Proc. Phys.-Math. Soc. Japan, Ser. II, 8(1915), 386-393.
  11. Ueber eine Eigenschaft des Potenzcharacters, Proc. Phys.-Math. Soc. Japan, Ser. II, 9(1917), 166-169.
  12. On norm-residues, Proc. Phys.-Math. Soc. Japan, Ser. III,  2(1919), 43-45.
  13. Ueber eine Theorie der relativ-Abel’schenZahlkörper,J. Coll. Sci. Imp. Univ. Tokyo, 41, Art. 9(1920), 1-133.
  14. Sur quelques théorèmes généraux de la théorie des nombres alébriques, C. R. Congrès Internat. Math. Strassbourg, 1920, 185-188.
  15. Sur les corps résolubles algébriquement, C. R. Acad. Sci. Paris, 171 (1920) , 1202-1205.
  16. Note on the algebraic equations, Proc. Phys.-Math. Soc. Japan, Ser. III, 3(1921), 175-179.
  17. Ueber das Reciprocitätsgesetz in einem beliebigen algebraischen Zahlkörper, J. Coll. Sci. Imp. Univ. Tokyo, 44, Art. 5(1922), 1-50.
  18. On the law of reciprocity in the cyclotomic corpus, Proc. Phys.-Math. Soc. Japan, Ser. III, 4(1922),173-182.
  19. Note on Fredholm’s determinants, Nagaoka Anniversary Volume, Tokyo, 1924, 313-318.
  20. On an algebraic problem related to an analytic theorem of Carathéodory and Fejér and on an allied theorem of Landau, Jap J. Math. 1(1924), 83-93, (Proc. Phys.-Math. Soc. Japan, Ser. III, 6(1924), 130-140.)
  21. Remarks on an algebraic problem, Jap. J. Math. 2(1925), 13-17.
  22. 0n the mutual reduction of algebraic equation, Proc. Imp. Acad. Japan, 2(1926), 41-42.
  23. Zur Theorie des Kreiskörpers, J. Reine Angew. Math. 157(1927), 230-238.
  24. On the theory of indeterminate equations of the second degree in two variables, Bull. Calcutta Math. Soc. Commemoration Volume, 20(1928), 59-56.
  25. Zur Theorie der natürlichen Zahlen, Proc. Imp. Acad. Japan, 7(1931), 29-30.
  26. Zur Axiomatik der ganzen und der reellen Zahleh , Proc. Imp. Acad. Japan, 21(1945), 111-113.