LECTURES ON THE CALCULUS OF VARIATIONS

ISBN-13: 9780821821442 / Angielski / Twarda / 2000 / 269 str.

Oskar Bolza

Opis

Based on lectures delivered at the AMS meeting in 1901, this book describes the progress in calculus of variations made in the last 30 years of the 19th century. Among other topics, the author describes the landmark results of Weierstrass on sufficient conditions for the extremum of a functional in terms of the second variation. Also discussed are Kneser's sufficient conditions, Weierstrass's theory of the isoperimetric problem, and Hilbert's theorem on the existence of an extremum of an integral.