Bolza O. — Lectures of the Calculus of Variations :: Электронная библиотека попечительского совета мехмата МГУ

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Bolza O. — Lectures of the Calculus of Variations

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Название: Lectures of the Calculus of Variations

Автор: Bolza O.

Аннотация:

My principal source of information concerning Weier-strass's theory has been the course of lectures on the Calculus of Variations of the Summer Semester, 1879, which I had the good fortune to attend as a student in the University of Berlin. Besides, I have had at my disposal sets of notes of the courses of 1877 (by Mr. Gr. Schulz) and of 1882 (a copy of the set of notes in the "Lesezimmer" at Gottingen for which I am indebted to Professor Tanner), a copy of a few pages of the course of 1872 (from notes taken by Mr. Ott), and finally a set of notes (for which I am indebted to Dr. J. C. Fields) of a course of lectures on the Calculus of Variations by Professor H. A. Schwarz (1898-99). - Oskar Bolza

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Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Издание: 1

Год издания: 1904

Количество страниц: 271

Добавлена в каталог: 18.04.2010

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Предметный указатель

Variation, total      14
Variation, weak and strong      72
Varied curve      14
Vicinity $(\delta)$ of a point      5
Weak extremum, defined      69
Weak extremum, sufficient condition for      70
Weak variations      72
Weierstrass's construction      84 144 234
Weierstrass's corner-condition      126
Weierstrass's E-function      35 138
Weierstrass's form of Euler's equation      123
Weierstrass's form of Jacobi's criterion      135

Weierstrass's form of Legendre's condition      133
Weierstrass's fourth necessary condition      75 138 233
Weierstrass's lemma on a special class of variations      33 139
Weierstrass's sufficient conditions      95 96 143
Weierstrass's sufficient conditions, extension to curves without a tangent      161
Weierstrass's sufficient conditions, for isoperimetric problems      237 243
Weierstrass's theorem (expression of $\Delta J$ in terms of the E-function)      89 144
Weierstrass's theorem for case of variable end-points      189 194 195
Weierstrass's theorem for isoperimetric problems      237
Weierstrass's theorem, Hilbert's proof of      91
Weierstrass's transformation of second variation      131
Wronskian determinant      57
Zermelo's theorem, on the envelope of a set of extremals      174

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