Development of mathematics  1900-1950 ~ 1950-2000

edited by Jean-Paul Pier

This text constitutes a documented study of the evolution of mathematics during the first half of the 20th century. Its list of primary sources and secondary publications adds to its value as a reference volume. It grew out of a colloquium organized by the Luxembourg Mathematical Society which was held at Chateau de Bourglinster in June 1992. The book's explicit chronology marks key events in the development of mathematics. One study by the late J. Dieudonne describes the history of topology; other important topics are covered in articles by J.L. Doob, G.Fichera, M. Guillaume, W. Hayman, C. Houzel, J.-P. Kahane, A. Lichnerowicz, J. Mawhin, L. Nirenberg, J.-P. Pier and W. Schwarz.

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[目次]

  • A brief history of topology, Jean Dieudonne
  • the development of rigour in mathematical probability (1900-1950), Joseph L. Doob
  • Vito Volterra and the birth of functional analysis, Gaetano Fichera
  • mathematical logic in its youth, Marcel Guillaume
  • function theory (1900-1950), Walter K. Hayman
  • the prehistory of Weil's conjectures, Christian Houzel
  • des series de Taylor au mouvement brownien, avec un apercu sur le retour, Jean-Pierre Kahane
  • geometrie et relativite, Andre Lichnerowicz
  • boundary value problems for nonlinear ordinary differential equations - from successive approximations to topology, Jean Mawhin
  • partial differential equations in the first half of the century, Louis Nirenberg
  • integration and measurement 1900-1950, Jean-Paul Pier
  • some remarks on the history of the prime number theory from 1896 to 1960, Wolfgang Schwarz.

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この本の情報

書名 Development of mathematics
著作者等 Pier, Jean-Paul
巻冊次 1900-1950
1950-2000
出版元 Birkhäuser
刊行年月 c1994-
ページ数 v.
大きさ 24 cm
ISBN 3764328215
3764362804
0817628215
NCID BA23237749
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言語 フランス語
英語
出版国 スイス
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