تاريخ الرياضيات
الاعداد و نظريتها
تاريخ التحليل
تار يخ الجبر
الهندسة و التبلوجي
الرياضيات في الحضارات المختلفة
العربية
اليونانية
البابلية
الصينية
المايا
المصرية
الهندية
الرياضيات المتقطعة
المنطق
اسس الرياضيات
فلسفة الرياضيات
مواضيع عامة في المنطق
الجبر
الجبر الخطي
الجبر المجرد
الجبر البولياني
مواضيع عامة في الجبر
الضبابية
نظرية المجموعات
نظرية الزمر
نظرية الحلقات والحقول
نظرية الاعداد
نظرية الفئات
حساب المتجهات
المتتاليات-المتسلسلات
المصفوفات و نظريتها
المثلثات
الهندسة
الهندسة المستوية
الهندسة غير المستوية
مواضيع عامة في الهندسة
التفاضل و التكامل
المعادلات التفاضلية و التكاملية
معادلات تفاضلية
معادلات تكاملية
مواضيع عامة في المعادلات
التحليل
التحليل العددي
التحليل العقدي
التحليل الدالي
مواضيع عامة في التحليل
التحليل الحقيقي
التبلوجيا
نظرية الالعاب
الاحتمالات و الاحصاء
نظرية التحكم
بحوث العمليات
نظرية الكم
الشفرات
الرياضيات التطبيقية
نظريات ومبرهنات
علماء الرياضيات
500AD
500-1499
1000to1499
1500to1599
1600to1649
1650to1699
1700to1749
1750to1779
1780to1799
1800to1819
1820to1829
1830to1839
1840to1849
1850to1859
1860to1864
1865to1869
1870to1874
1875to1879
1880to1884
1885to1889
1890to1894
1895to1899
1900to1904
1905to1909
1910to1914
1915to1919
1920to1924
1925to1929
1930to1939
1940to the present
علماء الرياضيات
الرياضيات في العلوم الاخرى
بحوث و اطاريح جامعية
هل تعلم
طرائق التدريس
الرياضيات العامة
نظرية البيان
Jean Frédéric Frenet
المؤلف:
L Godeaux
المصدر:
Note à propos des formules de Frenet
الجزء والصفحة:
...
26-10-2016
501
Born: 7 February 1816 in Périgueux, France
Died: 12 June 1900 in Périgueux, France
Jean Frenet's father was Pierre Frenet, a wig maker. The wig became an important item of attire in France from 1665 onwards, but since it was a distinctive class symbol, the wig industry went into serious decline with the advent of the French Revolution.
Frenet entered the École Normale Supérieure in 1840, then studied at the University of Toulouse. The University was an ancient establishment founded by Pope Gregory IX in 1229, being the first university founded by a Pope. However the University was suppressed during the French Revolution and by the time Frenet went there to study it had been broken up into separate faculties of law, theology, science, letters, and medicine. It was not reconstituted as a university until 1896.
At Toulouse Frenet undertook research in geometry and he wrote a doctoral thesis there which he submitted in 1847. His thesis was entitled Sur les fonctions qui servent à déterminer l'attraction des sphéroides quelconques. Programme d'une thèse sur quelque propriétés des courbes à double courbure and published in Toulose in 1847. In his thesis Frenet presented the idea of attaching to each point of an arbitrary curve in space a frame. As this frame moves along the curve, we can look at its rate of change to determine how the curve turns and twists, two ideas that actually describe the whole geometry of the curve. The part of Frenet's thesis which contains the theory of space curves gives the formulas now known as the Serret-Frenet formulas. Frenet gave only six formulas while Serret gave all nine. Frenet published this part of his thesis as the paper Sur quelque propriétés des courbes à double courbure in the Journal de mathematique pures et appliques in 1852. In a further paper Théorèmes sur les courbes gauches, published in the Nouvelles annales de mathématiqe in 1853, Frenet explained how the formulas could be applied. In [2] Godeaux suggests a publication of the first Frenet formula by a Belgian mathematician G M Pagani in (1847) may predates Frenet's publication of the formulas. It is likely that this was produced at about the same time as Frenet's work and that the two were independent.
Frenet was appointed as a professor at the University of Toulouse, then in 1848 he was appointed professor of mathematics at the University of Lyon, the most important educational centre outside Paris. He was also director of the astronomical observatory there and, in this capacity, he conducted meteorological observations. He published these observations in the Mémoires de l'Académie impériale de Lyon in a continuing series, first in 1853, next in 1856, and again in 1858. A Drian took over publishing the series of meteorological observations. Frenet retired at the age of 52 in 1868 and went to live on the family estate of Bayot in Périgueux. He had never married and, once back living on the family estate, he lived with his sister.
Frenet's exercise book on the calculus Recueil d'exercises sur le calcul infinitésimal, first published in 1856, ran to seven editions, the seventh being published in 1917 [1]:-
It contains problems with full solutions and often historical remarks.
Struik writes [1]:-
Frenet was a man of wide erudition and a classical scholar who was respected in the community, but his mathematical production was limited.
- D J Struik, Biography in Dictionary of Scientific Biography (New York 1970-1990).
http://www.encyclopedia.com/doc/1G2-2830901519.html
Articles:
- L Godeaux, Note à propos des formules de Frenet, Bull. Soc. Math. Belg. 23 (1971), 179-180.
- Obituary of Jean Frédéric Frenet, L'avenir de Dordogne (17 June,1900).
- P Vincensini, La géométrie différentielle au XIXème siècle. Avec quelques réflexions générales sur les mathématiques, Scientia (Milano) 107 (1972), 617-696.
الاكثر قراءة في 1800to1819
اخر الاخبار
اخبار العتبة العباسية المقدسة

الآخبار الصحية
